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Syllabus

Prove that newton's second law of motion is the real law

A ball falls from a height of 640cm on to a horizontal floor.The coefficient of restitution is 1/2.After 4th bounce it rises to a height of1) 80cm

2) 160cm

3) 320cm

4) 2.5cm

State and prove law of conservation of linear momentum

A solid cylinder of radius 0.5 m and height 4m is placed on a truck as shown in figure.

The coefficient of friction between truck and cylinder is $\mu $= 0.3. The truck is moving such that its displacement (x) varies with time(t) as x = $\frac{{t}^{3}}{6}+\frac{t}{5}$where x is in meters and t in seconds. Then choose the incorrect option's : (g= 10 m/sec

^{2})(A) The cylinder will remain at rest relative to the truck and after sometime, it will slide

(

B) The cylinder will remain rest relative to the truck and after sometime, it will topple(C) The cylinder start sliding and after sometime, it will topple

(D) The cylinder will neither slide nor topple relative to the truck

Friction is a necessary evil.Explain

a mass 'm' rests on a rough surface. draw the variation of the force of friction experienced with the force applied on it

State and prove the conservation of angular momentum.

(g = 10m/${s}^{2}$). Select the correct statements.

(A) Acceleration of block A, B and C are 1 m/${s}^{2}$, 3 m/${s}^{2}$and 5 m/${s}^{2}$ respectively

(B) Contact force between B & Ground is 350 N

(C) Tension in string 30N

(D) Contact force between 'B' and 'C' is 15 N

A particle of mass

mmoves with constant speedvon a circular path of radiusr. Find the magnitude of average force on it in half revolution.18.)On as smooth table two blocks of masses 2.5kg and 1.5kg are placed one over the other.If the coefficient of static friction between two blocks is 0.2,the maximum horizontal force to be applied on the lower block so that the two blocks move together is (g=10m/s2)

Two balls A and B are thrown simultaneously ,A vertically upwards with a speed of 20m/s from ground,and B vetically downwards from a height of 40 m with the same seed and along the same line of motion . At what points do the two balls collide ?

A cricket ball of mass 150g is moving with a velocity of 12m/s and is hit by a bat, so that the ball is turned back with a velocity of 20m/s. The force of the blow acts for 0.01s on the ball. Find the average force exerted by the bat on the ball.

A uniform rod of length L and mass M has been placed on a rough horizontal surface. The horizontal force F applied on the rod is such that the rod is just in the state of rest. If the coeeficient of friction varies according to the relation mu=Kx where K is +ve constant. Then the tension at mid point of rod is?

what are the limitations of dimensional analysis?

Deduce relation of angle of repose with coefficient of static friction ?

A machine gun has a mass of 20kg. It fires 30g bullets at the rate of 400 bullets per second with a speed of 400 m/s. What force must be applied to the gun to keep it in position ?

Force of 16N and 12N are acting on a mass of 200kg in mutually perpendicular directions.Find the magnitude of acceleration produced?

force depends on the rate of change of

momentum.

a) State whether the force is external or

internal? Justify your answer.

b) What happens to the linear

momentum when the force is absent?

c) The motion of a particle of mass m is

described y = ut +1 /2 gt^2 . find the

force acting on the particle.

d) Why is it more difficult to rotate a

stone by tying it to a longer string than

a shorter string?

28. If pulleys shown in the diagram are smooth and massless and a

_{ 1}and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then(a) a

_{1}= a_{2}(b) a

_{1}= 2a_{2}(c) 2a

_{â€‹1}= a_{2}(d) a

_{1}= 4a_{2}show that for two complementary angles of projection of a projectile thrown with thw same velocity. the horizontal ranges are equal

why does a cyclist lesn inward while negotiating a curve ? Explain with diagram.

prove Lami's theorem.

prove that impulse is equal to the change in momentum

a block A of mass4 kg is placed on another block B of mass 5kg B rests on smooth table for sliding block A onB a horizontal force of 12 N is required to be applied on A how much max force can be applied on Bso that both A andB move together

Question: On an object of mass 1 kg moving along x-axis with constant speed 8m/s, a constant force 2 N is applied in positive y- direction. Find its speed after 4 seconds.

Please explain how to solve the above question. The answer is 8âˆš2m/s.

â€‹Q4. The value of | T

_{1}– T_{2}| , in the given diagram, isa block of mass m is placed on a smooth wedge of inclination theta.the whole system is acclerated horizontally so that the block has a magnitude equal to???

(A) a

_{2}= 6a_{1}(B) a_{1}= 6a_{2}(C) a_{1}= 3a_{2}_{ }(D) a_{2}= 3a_{1}In the figure shown, what will be the acceleration of the block B if that of the A is 0.3 m/s

^{2}(A) 0.15 m/s

^{2}(B) 0.6 m/s^{2}(C) 0.3 m/s^{2}(D) none of theseA Spring Of Force Constant k is cut into two pieces , such that one piece is doubled the lengthof other . Then the long piece will have a constant of...................?

Find the value of T1 and T2 for the system shown in figure.

why cricket player lowers his hands while catching a cricket ball?

a) 0.5

b) 0.75

c) 0.57

d) None of these

derive an expression for banking of road with the help of diagram?

Solve this.

36. The arrangement is kept in a vertical plane and all masses are released from rest with strings taut.

In column 1, different values of masses are given. Match with corresponding parameters in column 2.

Symbols have their ususal meanings. pulleys and strings are ideal.

Column 1 column 2

m

_{1 }m_{2}m_{3}m4 (P) |a_{1}| = |a_{3}|(A) 2m m 3m 4m (Q) T

_{1}= T_{2}(B) m 2m 4m 3m (R) T

_{2}> T_{1}(C) m 2m 3m 4m (S) |a

_{1}| > |a_{3}|(D) 4m 3m 2m m (T) T

_{3}= Owhy wheels are made circular in automobiles?

^{2}, then the acceleration of 2 kg block is(1) 1 m/s

^{2}(4) 3 m/s^{2}(3) 4 m/s^{2}(4) 2 m/s^{2}1) 10root3 m /s

2) 20root m/s

3) 40/root3 m/s

4) 40 m/s

Why is pulling a lawn roller easier than pushing it?

Find out the acceleration which will be produced when the nail fixed on the table is removed also find out the tension in the string during the motion of the bodies. What when the bodies stop. Take g = 10 N/kg.

a stone is dropped from a height h . it hits the ground with a certain momentum P . if the same stone is dropped from a height 100% more than the previous height , the momentum when it hits the ground will change by ??

How is a friction is a necessary evil?

trajectory it splits into three segments of masses m, m and 2m. First part falls vertically

downward with zero initial velocity and second part returns via same path to the point of

projection. The velocity of third part of mass 2m just after explosion will be

a) U cos theta b) 3/2 u cos theta c) 2u cos theta d) 5/2 u cos theta

A person of mass 60kg is standing on a raft of mass 40kg in a lake. The distance of the person from the bank is 30m. If the person starts running towards the bank with velocity 10m/s, then what will his distance be from the bank after one second?

2 springs A and B with constants K

_{A and KB}(K_{A }is greater than K_{B}) are given. In which of the spring more work is to be done if they are stretched, (a) by same amount (b) by same force.Q=A ball of mass 20 g hits a wall at an angle of 45^{o}with a velocity of 15 m/s.If the ball rebound at 90^{o}to the direction of incidence ,calculate the impulse received by the ball.1. Define the principle of conservation of linear momentum.Deduce the law of conservation of linear momentum from Newtons third law of motion.

2.Why circular roads are banked? Derive an expression for angle of banking for safe circular turn?

3.Obtain an expression for minimum velocity of projection of a body at the lowest pint for looping a vertical loop.

4.Show that the area under the force-time graph gives the magnitude of the impulse of the given force for the following case when

(i) force is constant (ii)Variable force.

5.Derive an expression for acceleration of a body down a rough inclined plane?(sliding down)

define angle and coefficient of friction and find the relationship b/n them.

How much work is done in raising a stone of mass 5 kg with relative density 3 lying at the bed of a lake through a height of 3 m

( ans= 166.6)

A man stands in a lift going downwards with uniform velocity. He experiences a loss of weight at the start but not when lift is in uniform motion. Explain why ?

A man falls on a cemented floor and a man falls on a heap of sand who will get more hurt & why?

Find work done in moving a particle along vector S= (4i -j+7k)m,if applied force F= (i +2j-k) N

ABCDEF is a regular hexagon,,, Prove that AB + AC + AD + AE + AF = 6AO.

(direction sign {--} is present on the top of AB , AC,AD,AE,AF and 6AO)

A person of mass M kg is standing on a flits. If the lift moves vertically upwards according to given v-t graph then find out the weight of man at the following instants : (g-10 m/s

^{2})(i) t = 1 second

(ii) t = 8 second

(iii) t = 12 second

Find the acceleration of the system and the contact force between

(i) 2kg and 3 kg blocks (ii) 3kg and 5 kg blocks.

1. A block of mass 10kg is sliding on a surface inclined at a angle of 30

^{0}with the horizontal. Calculate the acceleration of the block. The coefficient of kinetic friction between the block and the surface is 0.5?mheld at rest by means of two light and in-extensible strings. The tensions in the inclined string at the instant shown and just after cutting the horizontal string are respectively(1)

mgcosθ, mgcosθ(2) $mg\mathrm{cos}\theta ,\frac{mg}{\mathrm{cos}\theta}$ (3) $\frac{mg}{\mathrm{cos}\theta},mg\mathrm{cos}\theta $ (4) $\frac{mg}{\mathrm{cos}\theta},\frac{mg}{\mathrm{cos}\theta}$how to solve this question with figure 3 blocks r connected together like on a horizontal frictionless table pulled to right with a force=50n if m1=5kg, m2=10kg, m3=15kg. find tension t1 and t2.

2. two masses of 7kg and 12kg r connectd at two end of light inextinsible string that goes over frictionless pulley. find acceleration of mass and tension on the string

why friction is called a necessary evil?

1. prove that angle of repose is equal to angle of friction

2. prove that 2nd law of motion is the real law of motion. (what is real law of motion)

^{2}towards right. The acceleration of 20 kg mass at this instant is:-a) 12 m/s

^{2}b) 4 m/s

^{2}c) 10 m/s

^{2}d) Zero

a lift which is moving vertically downwards

with an acceleration of 1.8 m/s2

a) Will the passenger experience

decease or an increase in his weight/

Explain?

b) What will be the effect if the cable is

cut and the lift falls freely?

the motion of a particle of mass m is described by y = ut + 1/2 gt

^{2}. find the force acting on the particle1)What will happen when (a) a heavy body collides on a light mass at rest and (b) a light body collides on a heavy mass at rest?

state the triangle law of vector addition and the parallelogram law of addition of vectors.

Two blocks of masses 2 kg. and 1 kg. are in contact with each other on a frictionless table . When a horizontal force of 3 N is applied to the block of mass 2 kg. the value of the force of contact between the two block is :(1) 4 N (2) 3N (3) 5 N (4) 1 N

a circular race track of radius 300 m is banked at an angle of 15

^{0}. if the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the race car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping ?plz experts help me out..............

a) the time of take off

b) acceleration

c)thrust of the jet engine

d) impulse

e) momentum at take off

a block of mass 2 kg rests on a rough inclined plane making an angle 30degrees with the horizontal . the coeffecient of static friction between the block and the plane is 0.7 . the frictional force on the block is??

define the terms momentum and impulse. state and explain the law of conservation of linear momentum. give examples

a body constrained to move along the z axis of a coordinate system is subjected to a constant force F = ( -i +2j +3k) N . what is the work done by the force in moving the body over a distance of 4 m along the z axis.

A body is moving in a circular path such that its speed always remains constant.should there be a force acting on a body?^{2}) :-a) 760 N

b) 1360 N

c) 1580 N

d) 1620 N

Kindly answer sir/mam.