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Syllabus

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

State and prove law of conservation of linear momentum

Friction is a necessary evil.Explain

show that for two complementary angles of projection of a projectile thrown with thw same velocity. the horizontal ranges are equal

if the stretch in a spring of force constant k is doubled:calculate

a)ratio of final to initial force in the spring

b)ratio of elastic energies in 2 cases

c)work done in changing the double stretch

State and prove the conservation of angular momentum.

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.A particle of mass

mmoves with constant speedvon a circular path of radiusr. Find the magnitude of average force on it in half revolution.i) acceleration along the inclined plane

ii) velocity down the plane

[ NO LINKS PLEASE ]A ball rolled on ice with a velocity 14m/s comes to rest after travelling 40m. Find the coefficient of friction.

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.

what are the limitations of dimensional analysis?

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?

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 ?

define moment of inertia. write any two factors on which it depends. when the diver leaves the diving board,why he bring his hand and feet closer together in order to make a somersault?

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

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}(a) 5/2 mg (b) 5/3 mg (c) 5/4 mg (d) None of these

prove Lami's theorem.

Q. A body of mass

mis suspended by two strings making angles alpha and beta with the horizontal.Find the tensions in the strings.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.

prove that impulse is equal to the change in momentum

a 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 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...................?

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

why cricket player lowers his hands while catching a cricket 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)

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

1)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?

why wheels are made circular in automobiles?

1) 10root3 m /s

2) 20root m/s

3) 40/root3 m/s

4) 40 m/s

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 ?

Why is pulling a lawn roller easier than pushing it?

a shot fired from cannon explodes in air . what will be the change in momentum and the kinetic energy ?

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 ??

a) 0.5

b) 0.75

c) 0.57

d) None of these

How is a friction is a necessary evil?

moving down with a uniform acceleration

of 5ms^ -2, what will be the apparent weight

of the child?

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

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

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.A child is sitting inside a lift in a multi-storey

building.

What will happen to the weight of the

child if?

i. The lift moves up with a

constant speed?

ii. The lift moves up with a

constant acceleration?

b) Write down expressions for the

apparent weight felt by the child when the

lift is:

i. ascending.

ii. Descending with a uniform

acceleration

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

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)

Draw a graph to show the variation of frictional force with applied force.

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

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

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)

(1) $\frac{4\mathrm{\pi}}{140}\mathrm{Hz}$ (2) $\frac{{\displaystyle \mathrm{\pi}}}{{\displaystyle 140}}\mathrm{Hz}$ (3) $\frac{{\displaystyle \mathrm{\pi}}}{{\displaystyle \sqrt{140}}}\mathrm{Hz}$ (4) $\frac{{\displaystyle \sqrt{140}}}{{\displaystyle 4\mathrm{\pi}}}\mathrm{Hz}$

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?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

a person sitting in the compartment of a train moving with a uniform speed throws a ball in the upward direction.What path of the ball will appear to him?What to a person standing outside?

why friction is called a necessary evil?

1.Derive a relation for the optimum velocity of negotiating a curve by a body in a banked curve.

2.Calculate the maximum speed with which a vehicle can travel on a banked road without skidding.DO BOTH THESE QUESTIONS HAVE THE SAME ANSWER??

i.e., THE DERIVATION OF Vmax=root(mu.r.g)??

Experts plzz answer

^{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 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.

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

^{2}. find the force acting on the particlestate the triangle law of vector addition and the parallelogram law of addition of vectors.

33.A block of mass 3 kg is at rest on a rough inclined plane as shown in the figure. The magnitude of net force exerted by the surface on the block will be (g = 10 m/s

^{2})(A) 26 N (B) 19.5 (C)10N (D) 30 N

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

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

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 mass of 4kg rests on a horizontal plane .the plane is gradually inclined until at an angle of 15' with the horizontal the mass just begins to slide what is the cofficient of the static friction between the block and the surface

Derive an expression for the maximum velocity with which a car can take a turn on a banked road without skidding.

^{2}) :-a) 760 N

b) 1360 N

c) 1580 N

d) 1620 N

Kindly answer sir/mam.

with outer edge raised to make 5 degrees with

the horizontal.

Calculate the permissible speed of the car

if the coefficient of friction is 0.2.