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Syllabus

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

A uniform flexible chain of length 3/2 m rests on fixed smooth sphere of radius r=2/pi m such that one end A of chain is on the top of the sphere while the other end b is hanging freely. chain is held stationary by a horizontal thread PA. Calculate the acceleration of chain when the horizontal string PA is burnt (g=10m/s^2)

State and prove law of conservation of linear momentum

Q. A small ball of mass m starts from rest from point A (b, c) on a smooth slope which is a parabola. The normal force that the ground exerts at the instant, the ball arrives at lowest point (0,0) (take acceleration due to gravity g)

1. mg$\left(\frac{{b}^{2}+4{c}^{2}}{{b}^{2}}\right)$

2. $\frac{4mg{c}^{2}}{{b}^{2}}$

3. mg

4. 3 mg

Friction is a necessary evil.Explain

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

State and prove the conservation of angular momentum.

radius 200 m is raised to make an angle of 150

with the horizontal.

a) Which force provides the necessary

centric petal force for a car taking the circular

track?

b) Name the process by which the outer

side of a curved track is raised a little above

the inner side.

c) Using the data provided in this case,

determine the maximum permissible speed to

avoid skidding (given s = 0.25 ).

A particle of mass

mmoves with constant speedvon a circular path of radiusr. Find the magnitude of average force on it in half revolution.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

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

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) 0.5

b) 0.75

c) 0.57

d) None of these

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) If ${\mu}_{1}{\mu}_{2}$ , the blocks will always remain in contact.

(B) If ${\mu}_{1}{\mu}_{2}$ , the blocks will slide down with different accelerations (if blocks slide)

(C) If ${\mu}_{1}{\mu}_{2}$ , the blocks will have a common acceleration 1/2 $({\mu}_{1}+{\mu}_{2})g\mathrm{sin}\theta $

(D) If ${\mu}_{1}{\mu}_{2}$ , the blocks will have a common acceleration $\frac{{\mu}_{1}{\mu}_{2}g}{{\mu}_{1}+{\mu}_{2}}\mathrm{sin}\theta $

what are the limitations of dimensional analysis?

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?

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 ?

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

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

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

_{1}= 4a_{2}^{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

prove Lami's theorem.

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 8√2m/s.

(A) mg tan $\theta $

(B) (M + m)g tan $\theta $

(C) (M + m)g cos $\theta $

(D) (M + m)g sin $\theta $

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...................?

moving down with a uniform acceleration

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

of the child?

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

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

two spheres of mass M and 2M are initially at rest at a distance R apart.due to mutual force of attraction they approach each other. when they are at separation R/2 the acceleration of their centre of mass is?

why wheels are made circular in automobiles?

1) 10root3 m /s

2) 20root m/s

3) 40/root3 m/s

4) 40 m/s

22.The coefficient of friction between a hemispherical bowl and an insect is square root of 0.44 and the radius of the bowl is 0.6m.The maximum height to which an insect can crawl in the bowl will be

Why is pulling a lawn roller easier than pushing it?

^{2}.How is a friction is a necessary evil?

(a) 60 N (b) 90 N (c) 80 N (d) 150 N

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 ??

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

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)

80 railway wagons all of same mass 5*10

^{3}are pulled by a force 4*10^{5}N . the tension in coupling between the 30 and the 31 wagon from the engine is( ans= 25*10

^{4}N)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.define angle and coefficient of friction and find the relationship b/n them.

falls with his head forward. What should he

do in order to land safely

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

$A)\frac{10}{3}m/{s}^{2}B)\frac{7}{3}m/{s}^{2}C)0.5m/{s}^{2}D)1.0m/{s}^{2}$

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)

Q). Which of the following depends on the choice inertial reference frame?

(1) Momentum

(2) Change in momentum

(3) Kinetic energy

(4) Both (1) & (3)

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) what total mass is accelerated to the right by force vector F?

B) what is the magnitude of force on block 2 from block 1?

C) what is the magnitude of force on block 3 from block 2 ?

prove that impulse is equal to the change in momentum

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 friction is called a necessary evil?

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

^{2}. find the force acting on the particle33.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

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)

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?

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

A 2.5 kg block is initially at rest on a horizontal surface.A horizontal force F of magnitude 6.0N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are

μs =0.40 andμk=0.25.Determine the magnitude of the frictional force acting on the block if tha mgnitude of P is i)8.0N ii)10 N and iii) 12 NTwo 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..............

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

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) 700 N (b) 350 N (c) 175 N (d) 0

^{2}) :-a) 760 N

b) 1360 N

c) 1580 N

d) 1620 N

Kindly answer sir/mam.

A body is moving in a circular path such that its speed always remains constant.should there be a force acting on a body?