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Syllabus

How to read log & anti log table??????

what is triangle law of vector addition

what is polar vector and axial vector?

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 accelerationthe 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 ?

A body of mass 10 kg revolves in a circle of diameter 0.4 m making 1000 revolutions per minute. Calculate linear velocity and centripetal acceleration.

r=3t i +2t^{2}J +5k , where t is in second and the coefficients have the proper units forrto be in metre. Find the magnitude and direction of the velocity of the particle at t=3s.Derive relation between linear velocity and angular velocity

Q.8. Find F1 + F2 - F3

How collinear vectors can be parallel?how to use a log book to find natural sines and natural cos ?

Q. Four particles A, B, C and D are moving with constant speed v each. At the instant shown relative velocity of A with respect to B, C and D are in directions

Solve it. Answer is 1.

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.

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 ?

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?

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*(t_{1}+t_{2})^{2}B) gt_{1}t_{2}C) 1/2*g*(t

_{1}+ t_{2})^{2}D) 1/2*g*t_{1}t_{2}Xplain the solution.........flying horizontally.

a) Sketch the path of the falling food packet.

b) If the time taken by the packet to reach the earth’s surface is ‘6’ seconds, calculate the height from which the packet is dropped. (Take g = 10m/s2)

define positive,negative and zero work with examples

A projectile is fired horizontally with a velocity u.Show that its trajectory is a parabola.

satae and explain polygon law of vectors

A vector A is expressed as A = A

_{x}i + A_{y}j where A_{x }and A_{y}are its components along x-axis and y-axis respectively. If vector A makes an angle theta with x asis, the theta is given by which expression?Can you prove that path of a projectile is a parabola....???

A)400 m

B)300 m

C)200 m

D)150 m

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?

a particle projected from ground moves at angle of 45 degree with horizontal one second after projection and speed is minimum two seconds after the projection . what is the angle of projection of particle in terms of tan ??

its urgent please tell quick

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?

a projectile is thrown horizontally from top of a tower strikes the ground after 3sec at an angle 45

^{0}with horizontal.find height of tower and speed which body was projected.{g=9.8m/s^{2}}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.

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.......

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 ?

A particle starts rotating from rest and displaces according to the formula:θ= 3t

^{3}/20 - t^{2}/3. Calculate the angular velocity and angular acceleration at the end of 5 seconds.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 :(

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?

xy- plane in a circular path with centre at origin. If at an instant the position of particle is given by $\frac{1}{\sqrt{2}}\left(\hat{i}+\hat{j}\right)$ , then velocity of particle is along(1) $\frac{1}{\sqrt{2}}\left(\hat{i}-\hat{j}\right)$ (2) $\frac{1}{\sqrt{2}}\left(\hat{j}-\hat{i}\right)\phantom{\rule{0ex}{0ex}}$ (3) $\frac{1}{\sqrt{2}}\left(\hat{i}+\hat{j}\right)$ (4) Either (1) or (2)

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+3jin the direction of vectori+j._{1}and u_{2}respctively in opposite deirections. The seperation between two balls when they are moving perpendicular to each other, is ...........a bullet fired at an angle of 15 degree with the horizontal and hits the ground 6 km away is it possible to hit a target 10 km away by adjusting the angle of projection assuming the intial speed to be the same

find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and angle

Obetween 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

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?

Why does a bicycle rider lean inwards while taking a turn, decreases his velocity and adopts such a path whose radius is large ??An object is projected with velocity v

_{0}=15i^ +20j^. Considering x along horizontal axis and y along vertical axis. Find its velocity after 2 seonds.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?

If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and same direction as A.

A projectile is fired with a horizontal velocity 330m/s from the top of a cliff 80m. How long will it take to strike the ground at the base of the cliff?

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)

Ans= 10√3

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

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

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

Q. A child pulls a rope attached to a stone with a force of 60N. the rope makes an angle of 40 degree to the ground.

a) calculate the effective value of the pull tending to move the stone along the ground.

b) Calculate the force tending to lift the stone vertically.

( plss help me in this question with a diagram)

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

a resultant of two vectors makes 30 degree with one vector and 45 degree with the other. Find the two vectors if the resultant has the magnitude 15

Help experts

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

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.

the resultant of two vectors P and Q is perpendicular to P and its magnitude is half of that of Q. Whats the angle between P and Q?

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.

A. In uniform circular motion $\overline{)\omega}$,$\overrightarrow{v}$ and $\overrightarrow{a}$ are always mutually perpendicular

B. In non-uniform circular motion, $\overline{)\omega}$,$\overrightarrow{v}$ and $\overrightarrow{a}$ are always mutually perpendicular

(1) Both A and B are true

(2) Both A and B are false

(3) A is true but B is false

(4) A is false but B is true

$\left(1\right)\frac{v}{\sqrt{{a}^{2}+{b}^{2}}}\phantom{\rule{0ex}{0ex}}\left(2\right)\frac{v}{b}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{vb}{({a}^{2}+{b}^{2})}\phantom{\rule{0ex}{0ex}}\left(4\right)\frac{v}{a}\phantom{\rule{0ex}{0ex}}$

write the dimensions of a/b in the relation F=a root x +bt

^{2}where F is force , x is distance and t is time.