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How to read log & anti log table??????
The velocity of a particle moving in straight line depends on its position as v= 3sin [(pi /2) + x ] m/s. Find the acceleration of the particle when at x = pi / 4. (Ans : -9/2 m/s)
what is triangle law of vector addition
Any Vector A is given by A = xi + yj. The another vector B perpendicular to A can be written as
what is polar vector and axial vector?
if vector r1= 4m along north east and r2 vector = 2m due north, find vector mgnitude r1 + r2 and r1 - r2.
the speed of a projectile when it is at its greatest height is root(2/5) times its speed at half the max height . what is the angle of projection ?
Define centripetal acceleration. Derive an expression for the centripetal acceleration of a particle moving with uniform speed v along a circular path of radius r.discuss the direction of this acceleration
add a force of 8N directed northwards to a force of 6N directed westwardsand .Calculate the magnitude and the direction of resultant with north
Derive relation between linear velocity and angular velocity
express the magniyude of vector a x b in terms of scalar products.
how to use a log book to find natural sines and natural cos ?
a shell is fired with a speed of 30m/s at an angle of 37 degree with the horizontal after 1 sec shell is moving with qn angle theta degree calculate theta given sin 37 is 3/5??? please answer quickly???
The relation between time(t) and distance(x) is t=Ax^2 + Bx, A and B are constants. Prove that its retardation is 2Av^3.
if vectors are A= i+j+k and vector B = -i-j-k,then find the angle between vector (A - B) and A.
A person moves 30m north then 20m east and finally 30 root 2 m south west .find the displacement from original position
The resultant of two vectors A and B is perpendicular to vector A and its magnitude is equal to half the magnitude of vector B ,Find the angle between A and B?
The angle between two vectors given by 6i^+6j^-3k^ and 7i^+4j^+4k^ is
A) cos-1(1/√3)
B) cos-1(5/√3)
C) sin-1(2/√3)
D) sin-1(√5/3)
A particle is moving along a circular path of radius 5m with a uniform speed of 5m/s. What will be the average acceleration when the particle completes the half revolution? (Ans : 10/pi m/s)
A particle is projected vertically upwards from point A on the ground. It takes t1 time to reach a point B but it still continues to move up. If it takes further t2 time to reach the ground from point B then height of point B from the ground is :
A) 1/2*g*(t1 +t2)2
B) gt1t2
C) 1/2*g*(t1 + t2)2
D) 1/2*g*t1 t2
Xplain the solution.........
a car sent to take a student from coaching every day . the car arrives at the coaching 15 min before the time .one day coaching gets closed one hour before the usual time .then the student without waiting for the car ,start walking towards home .on the same way he meets the car .he reaches 35 minutes before usual time .find out the time for which he keeps walking.
define positive,negative and zero work with examples
A position vector of a point is (2i+2j)m
a)find magnitude of this vector
b) find angle with x-axis
c) find the volume of cone which is generated when a line segment representing this position vector is rotated about x-axis with one end remaining fixed at origin.
ans soon i've test tmrw .This chapter is difficult for me to understand :(
satae and explain polygon law of vectors
Can you prove that path of a projectile is a parabola....???
A body of mass 1 kg moves in x-y plane such that its position vector is given by vector v = sin(t)i cap + cos(t)j cap.
(a) Find its equation of trajectory. ( Ans : x2 + y2 = 1)
(b) Find the velocity of the particle at the initial time . ( Ans :vector v = cos t i cap - sin t j cap )
(c) Find the component of its acceleration int the direction of velocity at time t . ( Ans : 0 )
(d) Find angle between velocity vector and acceleration vector at time t. ( Ans : pi / 2 )
2. Two vectors, both equal in magnitude, have their resultant equal in magnitude of the either. Find the angle between the two vectors.
OR
Two equal forces have their resultant equal to either, what is the inclination between them?
The 200 N force is to be resolved into components along the lines a-a' and b-b'.
(a) Determine the angle P by trigonometry knowing that the component along a-a' is 150 N.
(b) What is the corresponding value of the component along b-b'?
answer: (a) 103.0 degrees (b) 276 N
Please help me with the solution.
A cricketer can throw a ball to a maximum horizontal distance of 100m. How much high above the ground can the crickter throw the same ball?
Two balls A and B are thrown with same speed u from the top of a tower .Ball A is thrown vertivally upwards and ball B is thrown vertically downwards.If time taken taken by the ball A and ball B to reach the ground are 6 and 2 sec Respectively.
Find the distance travelled by ball in t=3 s.Ans=25 m
Find the height of the tower.Ans=60 m
a projectile is thrown horizontally from top of a tower strikes the ground after 3sec at an angle 450 with horizontal.find height of tower and speed which body was projected.{g=9.8m/s2}
please tell me the answer of this question:-
Using vectors prove that the shortest distance between two points is a straight line path.
it is from a chapter called vector analysis.Thank you in advance to all who answer.
Two forces acting on a particle in opposite directions have the resultant of 10N. If they act at right angles to each other, the resultant it 50N. Fing the 2 forces.
if the direction of vector Ais reversed what are the values of | delta vector A| and delta |vector A|
a motor boat is racing towards north at 25km/h & the water current in tht region is 10 km/h in d direction of 60 degree east of south . find d resultant velocity of boat ............
my question is how do we know frm where we have to take angle ......... plzzz xplain me ... i hv xam tomorrow.......
A body is in equilibrium under the action of 3 vectors A, B C simultaneously. show that A x B = B x C = C x A .(in proof all are vectors)
the ceiling of a long hall is 25 m high . what is the maximum horizontal distance that a ball thrown with a speed of 40 m/s can go without hitting the ceiling of the hall ?
A man can swim in still water at a speed of 3km/h . He wants to cross a river that flows at a speed of 2 km/h and reach a point directly opposite to the starting point.
1. In what direction should he try to swim ?
2. How much time will he take to cross the river if the river is 500 m wide ?
Consider the two vectors A and B .The magnitude of their sumi .e , /A+B/ , if /A/ is greater than /B/
Rain is falling vertically with a speed of 35m/s . winds starts blowing after sometime with a speed of 12m/s in east to west direction . In which direction . In which direction should a boy waiting at a bus stop hold his umbrella ? this question was answered wrong by an expert i need d correct answer and explanaton for this :(
Which of the following pairs of displacements cannot be added to give a resultant displacement of 2m?
1. 1m+1m
2. 1m+2m
3. 1m+3m
4. 1m+4m
One second after projection a stone moves at an angle of 45 degree with the horizontal. Two seconds after projection it moves horizontally .Then what is the angle of projection of the projectile?
show that path of a projectile is a parabola.
a projectile is fired horizontal with a speed 98m/s from the top of hill 490m height. find
Obtain the component of vector A=2i+3j in the direction of vector i+j.
A river 1 km wide is flowing at 3 km/h . A swimmer whose velocity in still water is 4 km/h can swim only for 15 minutes.In what direction should he strike out in order reach the other bank ? What is the total distance covered ?
find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and angle O between them..
A hiker stands on the edge of a cliff 490 m above the ground and throws a stone horizontally with an initial velocity of 15 m/s.Neglecting air resistence,find the time taken by the stone to reach the ground and the speed with which it hits the ground.(g=9.8 m/s).Please provide the answer for this question.
Prove that the maximum horizontal range is 4 times the max height attained by the projectile fired at an inclination so as to have maximum horizontal range
Determine the unit vector in the direction of P = 2i-4j+4k.
the equation of projectile is y = ax - bx2 . its horizontal range is?
A projectile is thrown into space so as tohave a max. possible horizontal range of 400mts. Taking the point of projection as the origin, the co-ordinates of the point where the velocity of the projectile is minimum are? can you show how to solve it?
An object is projected with velocity v0=15i^ +20j^. Considering x along horizontal axis and y along vertical axis. Find its velocity after 2 seonds.
A particle starts rotating from rest and displaces according to the formula:θ= 3t3/20 - t2/3. Calculate the angular velocity and angular acceleration at the end of 5 seconds.
If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and same direction as A.
a body thrown vertically up with initial velocity 52 m/sec from the ground passes twice a point at H height above at an interval of 10 s . The height H is (Take g= 10)
Two particles A and B start moving with velocities 20m/s and 30√2m/s along x-axis and at an angle of 45 degree with x-axis respectively in xy - plane from origin. what is the relative velocity of B w.r.t A ?
Velocity in uniform motion does not depend on the choice of origin.Pleace explain.
two paper screens A and B Are seperated by a distance of 100m. A gullet penetrates A and B at points P AND Q respectively. Where Q is 10 cm below P. If bullet is travelling horizontally at the time of hitting A the velocity of bullet ar A is nearly how much?Help experts
a PARTICLE IS PROJECTED FROM GROUND WITH SPEED 80 m/s AT AN ANGLE 30 DEGREE WITH HORIZONTAL FROM GROUND .THE MAG NITUDE OF AVERAGE VELOCITY OF PARTICLE IN TIME T=2SEC TO T=6SECS IS?
What is the relative velocity of a man swimming downstream with speed 12 km/h (in still water) with respect to a child running towards the river with speed 4 km/h in direction perpendicular to water flow. Speed of water flow = 4 km/h.
A particle starts from origin t=0 with a velocity 5.0 ^i m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3.0 ^i + 2.0^j) m/s squ.
a) What is the y coordinate of the particle at the instant its x coordinate is 84m?
b)What is the speed of the particle at this time?
Please help! :o
A particle is subjected to two equal forces along two different directions. If one of them is halved, the angle which the resultant makes with the other is also halved, The angle between the forces is halved. The angle between the forces is ?
If vector A and B are two non collinear unit vectors and if |A+B|=, then find the value of (A-B).(2A+B)
Please help! :O
Forces 3P,7P and 5P act at a point paralell to the sides AB,BC and AC of the equilateral triangleABC.Find the magnitude and direction of the resultant.
A PROJECTILE IS PROJECTED WITH A VELOCITY u SO THAT ITS HORIZONTAL RANGE IS TWICE THE GREATEST HEIGHT ATTAINED.FIND THE HORIZONTAL RANGE OF IT
if we hang a magnet in front of an iron car will it move ? give reason with suitable answer.
a river is flowing from west to east at speed 5m/min. a man on the south bank of river, capable of swimming at 10m/ min in still water wants to swim across the river to a point directly opposite in shortest time. what direction shoukd he swim in?
can u plz explain the meaning of this problem with the help of a diagram. n wt is rele to be found out.?i need this soon plz.
write the dimensions of a/b in the relation F=a root x +bt2 where F is force , x is distance and t is time.
in a car race, car A takes a tym t sec less than the car B and passes the finishing part with a velocity v more than that of the car B .if the cars start from rest and travel with constant accleration A1 and A2 respectively. show that V = T * root over of A1* A2.
what is the acceleration of a body when its velocity time graph is
E.g: 9876543210, 01112345678
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Syllabus
How to read log & anti log table??????
The velocity of a particle moving in straight line depends on its position as v= 3sin [(pi /2) + x ] m/s. Find the acceleration of the particle when at x = pi / 4. (Ans : -9/2 m/s)
what is triangle law of vector addition
Any Vector A is given by A = xi + yj. The another vector B perpendicular to A can be written as
what is polar vector and axial vector?
if vector r1= 4m along north east and r2 vector = 2m due north, find vector mgnitude r1 + r2 and r1 - r2.
the speed of a projectile when it is at its greatest height is root(2/5) times its speed at half the max height . what is the angle of projection ?
Define centripetal acceleration. Derive an expression for the centripetal acceleration of a particle moving with uniform speed v along a circular path of radius r.discuss the direction of this acceleration
add a force of 8N directed northwards to a force of 6N directed westwardsand .Calculate the magnitude and the direction of resultant with north
Derive relation between linear velocity and angular velocity
What is the magnitude and direction of F1+F2 ?
How collinear vectors can be parallel?
express the magniyude of vector a x b in terms of scalar products.
how to use a log book to find natural sines and natural cos ?
a shell is fired with a speed of 30m/s at an angle of 37 degree with the horizontal after 1 sec shell is moving with qn angle theta degree calculate theta given sin 37 is 3/5??? please answer quickly???
The relation between time(t) and distance(x) is t=Ax^2 + Bx, A and B are constants. Prove that its retardation is 2Av^3.
if vectors are A= i+j+k and vector B = -i-j-k,then find the angle between vector (A - B) and A.
A person moves 30m north then 20m east and finally 30 root 2 m south west .find the displacement from original position
{urgently} expert answer only
The resultant of two vectors A and B is perpendicular to vector A and its magnitude is equal to half the magnitude of vector B ,Find the angle between A and B?
The angle between two vectors given by 6i^+6j^-3k^ and 7i^+4j^+4k^ is
A) cos-1(1/√3)
B) cos-1(5/√3)
C) sin-1(2/√3)
D) sin-1(√5/3)
A particle is moving along a circular path of radius 5m with a uniform speed of 5m/s. What will be the average acceleration when the particle completes the half revolution? (Ans : 10/pi m/s)
A particle is projected vertically upwards from point A on the ground. It takes t1 time to reach a point B but it still continues to move up. If it takes further t2 time to reach the ground from point B then height of point B from the ground is :
A) 1/2*g*(t1 +t2)2
B) gt1t2
C) 1/2*g*(t1 + t2)2
D) 1/2*g*t1 t2
Xplain the solution.........
a car sent to take a student from coaching every day . the car arrives at the coaching 15 min before the time .one day coaching gets closed one hour before the usual time .then the student without waiting for the car ,start walking towards home .on the same way he meets the car .he reaches 35 minutes before usual time .find out the time for which he keeps walking.
define positive,negative and zero work with examples
A position vector of a point is (2i+2j)m
a)find magnitude of this vector
b) find angle with x-axis
c) find the volume of cone which is generated when a line segment representing this position vector is rotated about x-axis with one end remaining fixed at origin.
ans soon i've test tmrw .This chapter is difficult for me to understand :(
satae and explain polygon law of vectors
Can you prove that path of a projectile is a parabola....???
A body of mass 1 kg moves in x-y plane such that its position vector is given by vector v = sin(t)i cap + cos(t)j cap.
(a) Find its equation of trajectory. ( Ans : x2 + y2 = 1)
(b) Find the velocity of the particle at the initial time . ( Ans :vector v = cos t i cap - sin t j cap )
(c) Find the component of its acceleration int the direction of velocity at time t . ( Ans : 0 )
(d) Find angle between velocity vector and acceleration vector at time t. ( Ans : pi / 2 )
2. Two vectors, both equal in magnitude, have their resultant equal in magnitude of the either. Find the angle between the two vectors.
OR
Two equal forces have their resultant equal to either, what is the inclination between them?
The 200 N force is to be resolved into components along the lines a-a' and b-b'.
(a) Determine the angle P by trigonometry knowing that the component along a-a' is 150 N.
(b) What is the corresponding value of the component along b-b'?
answer: (a) 103.0 degrees (b) 276 N
Please help me with the solution.
(ii) (2i - j ). (3i+ k)
A cricketer can throw a ball to a maximum horizontal distance of 100m. How much high above the ground can the crickter throw the same ball?
Two balls A and B are thrown with same speed u from the top of a tower .Ball A is thrown vertivally upwards and ball B is thrown vertically downwards.If time taken taken by the ball A and ball B to reach the ground are 6 and 2 sec Respectively.
Find the distance travelled by ball in t=3 s.Ans=25 m
Find the height of the tower.Ans=60 m
a projectile is thrown horizontally from top of a tower strikes the ground after 3sec at an angle 450 with horizontal.find height of tower and speed which body was projected.{g=9.8m/s2}
please tell me the answer of this question:-
Using vectors prove that the shortest distance between two points is a straight line path.
it is from a chapter called vector analysis.Thank you in advance to all who answer.
Two forces acting on a particle in opposite directions have the resultant of 10N. If they act at right angles to each other, the resultant it 50N. Fing the 2 forces.
if the direction of vector Ais reversed what are the values of | delta vector A| and delta |vector A|
a motor boat is racing towards north at 25km/h & the water current in tht region is 10 km/h in d direction of 60 degree east of south . find d resultant velocity of boat ............
my question is how do we know frm where we have to take angle ......... plzzz xplain me ... i hv xam tomorrow.......
A body is in equilibrium under the action of 3 vectors A, B C simultaneously. show that A x B = B x C = C x A .(in proof all are vectors)
the ceiling of a long hall is 25 m high . what is the maximum horizontal distance that a ball thrown with a speed of 40 m/s can go without hitting the ceiling of the hall ?
A man can swim in still water at a speed of 3km/h . He wants to cross a river that flows at a speed of 2 km/h and reach a point directly opposite to the starting point.
1. In what direction should he try to swim ?
2. How much time will he take to cross the river if the river is 500 m wide ?
Consider the two vectors A and B .The magnitude of their sumi .e , /A+B/ , if /A/ is greater than /B/
Rain is falling vertically with a speed of 35m/s . winds starts blowing after sometime with a speed of 12m/s in east to west direction . In which direction . In which direction should a boy waiting at a bus stop hold his umbrella ? this question was answered wrong by an expert i need d correct answer and explanaton for this :(
Which of the following pairs of displacements cannot be added to give a resultant displacement of 2m?
1. 1m+1m
2. 1m+2m
3. 1m+3m
4. 1m+4m
One second after projection a stone moves at an angle of 45 degree with the horizontal. Two seconds after projection it moves horizontally .Then what is the angle of projection of the projectile?
show that path of a projectile is a parabola.
in a circle. He finds that it travels 6 revolutions
in an anticlockwise direction for a time of
31.4sec.
a) Find the angular velocity of the
insect.
b) If the insect travels
4 revolutions in the clockwise
direction for a time of 8.6sec, what
will be the angular speed averaged
over the total time?
c) Obtain the expression for centripetal
acceleration (ac) in terms of angular
speed ( ).
a projectile is fired horizontal with a speed 98m/s from the top of hill 490m height. find
Obtain the component of vector A=2i+3j in the direction of vector i+j.
A river 1 km wide is flowing at 3 km/h . A swimmer whose velocity in still water is 4 km/h can swim only for 15 minutes.In what direction should he strike out in order reach the other bank ? What is the total distance covered ?
find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and angle O between them..
A hiker stands on the edge of a cliff 490 m above the ground and throws a stone horizontally with an initial velocity of 15 m/s.Neglecting air resistence,find the time taken by the stone to reach the ground and the speed with which it hits the ground.(g=9.8 m/s).Please provide the answer for this question.
Prove that the maximum horizontal range is 4 times the max height attained by the projectile fired at an inclination so as to have maximum horizontal range
Determine the unit vector in the direction of P = 2i-4j+4k.
the equation of projectile is y = ax - bx2 . its horizontal range is?
a) 45°
b) 60°
c) 90°
d) 120°
A projectile is thrown into space so as tohave a max. possible horizontal range of 400mts. Taking the point of projection as the origin, the co-ordinates of the point where the velocity of the projectile is minimum are? can you show how to solve it?
An object is projected with velocity v0=15i^ +20j^. Considering x along horizontal axis and y along vertical axis. Find its velocity after 2 seonds.
A particle starts rotating from rest and displaces according to the formula:θ= 3t3/20 - t2/3. Calculate the angular velocity and angular acceleration at the end of 5 seconds.
If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and same direction as A.
a body thrown vertically up with initial velocity 52 m/sec from the ground passes twice a point at H height above at an interval of 10 s . The height H is (Take g= 10)
Two particles A and B start moving with velocities 20m/s and 30√2m/s along x-axis and at an angle of 45 degree with x-axis respectively in xy - plane from origin. what is the relative velocity of B w.r.t A ?
Velocity in uniform motion does not depend on the choice of origin.Pleace explain.
two paper screens A and B Are seperated by a distance of 100m. A gullet penetrates A and B at points P AND Q respectively. Where Q is 10 cm below P. If bullet is travelling horizontally at the time of hitting A the velocity of bullet ar A is nearly how much?Help experts
a PARTICLE IS PROJECTED FROM GROUND WITH SPEED 80 m/s AT AN ANGLE 30 DEGREE WITH HORIZONTAL FROM GROUND .THE MAG NITUDE OF AVERAGE VELOCITY OF PARTICLE IN TIME T=2SEC TO T=6SECS IS?
What is the relative velocity of a man swimming downstream with speed 12 km/h (in still water) with respect to a child running towards the river with speed 4 km/h in direction perpendicular to water flow. Speed of water flow = 4 km/h.
A particle starts from origin t=0 with a velocity 5.0 ^i m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3.0 ^i + 2.0^j) m/s squ.
a) What is the y coordinate of the particle at the instant its x coordinate is 84m?
b)What is the speed of the particle at this time?
Please help! :o
A particle is subjected to two equal forces along two different directions. If one of them is halved, the angle which the resultant makes with the other is also halved, The angle between the forces is halved. The angle between the forces is ?
If vector A and B are two non collinear unit vectors and if |A+B|=
, then find the value of (A-B).(2A+B)
Please help! :O
Forces 3P,7P and 5P act at a point paralell to the sides AB,BC and AC of the equilateral triangleABC.Find the magnitude and direction of the resultant.
A PROJECTILE IS PROJECTED WITH A VELOCITY u SO THAT ITS HORIZONTAL RANGE IS TWICE THE GREATEST HEIGHT ATTAINED.FIND THE HORIZONTAL RANGE OF IT
if we hang a magnet in front of an iron car will it move ? give reason with suitable answer.
a river is flowing from west to east at speed 5m/min. a man on the south bank of river, capable of swimming at 10m/ min in still water wants to swim across the river to a point directly opposite in shortest time. what direction shoukd he swim in?
can u plz explain the meaning of this problem with the help of a diagram. n wt is rele to be found out.?i need this soon plz.
write the dimensions of a/b in the relation F=a root x +bt2 where F is force , x is distance and t is time.
in a car race, car A takes a tym t sec less than the car B and passes the finishing part with a velocity v more than that of the car B .if the cars start from rest and travel with constant accleration A1 and A2 respectively. show that V = T * root over of A1* A2.
what is the acceleration of a body when its velocity time graph is