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NLMONE SHOT

FN

FN

NORMAL FORCE AND TENSION

T

T FN

NEWTON’S LAWS

1st Law : Everybody continues to be in a state of rest or of uniform velocity until and unless an external unbalanced force acts upon it.

2nd Law : the rate of change of momentum of body is directly proportional to the net external force applied on the body and the change in momentum takes place in the direction of the force”

Fext = = = = madpdt

d ( mv ) dt

m d v dt

NEWTON’S LAWS

3rd Law: If a body A exerts a force F on another body B, then B exerts a force -F on A

→

Action and reaction pair always act on different bodies.

FAB = - FBA→ →

FAB→

FBA

→

A B

→

FRICTION

F

N

f

Fc

Fc → contact force

N → normal force

F → applied force

f → frictional force

STATIC FRICTION

F

flim

μs→ coefficient of static friction

KINETIC FRICTION

μK→ coefficient of kinetic friction

F

fk

V

Examples

Go to www.menti.com and enter the code

31 68 96 4

A machine gun fires a bullet of mass 20 g with a velocity 1200 ms-1. The man holding it, can exert a maximum force of 72 N on the gun. How many bullets can he fire per second at the most?

B

D

A

C

One

Four

Two

Three

Laws of motion

The apparent weight of man inside a lift moving up with certain acceleration is 600 N. When the lift is coming down with the same acceleration apparent weight is found to be 200 N. The mass of the man is (g = 10 ms-2)

B

D

A

C

40 kg

60 kg

75 kg

80 kg

Laws of motion

A fireman wants to slide down a rope. The breaking load for the rope is th of the weight of the man. With what minimum acceleration should the fireman slide down? Acceleration due to gravity is g.

B

D

A

C

Zero

Laws of motion

A machine gun fires 20 bullets per second into a target. Each bullet weight 150 gms and has a speed of 800 m/sec. Find the force necessary to hold the gun in position

B

D

A

C

800 N

1000 N

1200 N

Laws of motion

2400 N

menti

A body mass 80 kg stands on a weighing machine in an accelerated lift. The reading on the scale of the weighing machine is 600 N. Find the magnitude and direction of acceleration.

B

D

A

C

2.3 m/s2 upwards

2.3 m/s2 downwards

4.6 m/s2 upwards

4.6 m/s2 downwards

Laws of motionmenti

How can you lower a 200 kg body from the roof of a house using a cord with a breaking strength of 160 kg weight without breaking the rope? (1 kg weight = g N)

B

D

A

C

1.96 m/s2 downwards

9.8 m/s2 downwards

4.9 m/s2 downwards

Laws of motion

19.6 m/s2 downwards

menti

Block A of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizontal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are;

B

D

A

C

Blocks in contact

3m

m2mg

Two block of masses 3 kg and 1 kg are kept in contact with each other on a frictionless horizontal surface. If a force of 10N is applied on the larger block what is the acceleration of the system? What is the contact force between the two blocks?

B

D

A

C

2.5 m/s2 ; 2.5 N

5 m/s2 ; 5 N

5 m/s2 ; 2.5 N

2.5 m/s2 ; 5 N

Blocks in contact

3kg 1kg

10N

For what minimum value of F, mass m1 starts slipping over m2 ( g=10m/s2)

B

D

A

C

24 N

36 N

12 N

20 N

Blocks in contact

M1 = 2kg

M2 = 4kg

μ1=0.2

μ2=0.4F

menti

Two blocks of masses 5 kg and 2 kg are kept in contact with each other on a frictionless horizontal surface. If a force of 14 N is applied on the larger block what is the acceleration of the system? What is the contact force between the two blocks?

B

D

A

C

2 m/s2 ; 4 N

1 m/s2 ; 2 N

1 m/s2 ; 4 N

2 m/s2 ; 2 N

Blocks in contact

5kg 2kg

14N

menti

Figure shows a weight of 30 kg suspended at one end of cord and a weight of 70 kg applied at other end of the cord passing over a pulley. Neglecting weight of rope and pulley find the tension in the cord and acceleration of the system (g = 10 ms-2)

B

D

A

C

2 m/s2 ; 12 N

4 m/s2 ; 420 N

6 m/s2 ; 180 N

4 m/s2 ; 240 N

Pulley and blocks

70kg

30kg

Two bodies of masses 1 kg and 2 kg are connected by a very light string passed over a clamped light smooth pulley. If the system is released from rest, find the acceleration of the two masses and the tension in the string

B

D

A

C

3.27 m/s2 ; 13 N

4.5 m/s2 ; 26 N

1.27 m/s2 ; 13 N

0.327 m/s2 ; 13 N

Pulley and blocks

2kg

1kg

menti

Three equal weights of mass m = 3 kg each are hanging on a string passing over a fixed pulley as shown in Fig. What are the tensions in the string connecting weights A to B and B to C? (g = 10 ms-2)

B

D

A

C

70 N, 30 N

70 N, 40 N

40 N, 20 N

30 N, 10 N

Pulley and blocks

BA

C

a

a

menti

A light straight fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle 300 with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate upto vertical force 360 N. Find the maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored (g = 10 m/s2)

B

D

A

C

1 m/s2

2 m/s2

3 m/s2

4 m/s2

Constrained motion

In the arrangement shown in the figure, the acceleration of the mass is, (Ignore friction)(F = 10 N and M = 2kg)

B

D

A

C

1.25 ms-2

5 ms-2

Zero

2.5 ms-2

Constrained motion

F

M

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by

B

D

A

C

Constrained motion menti

A block of mass 200 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of 1 m/sec2 ?

B

D

A

C

50N

100N

25N

75N

Constrained motion menti

a = 1 m/sec2

F

200 kg

In the arrangement shown, end A of light inextensible string is pulled up with constant velocity V. The velocity of block B is

B

D

A

C

V/2

V

V/3

3V

Constrained motion menti

B

A

v

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Choose Your Subscription & Click on Proceed To Pay

4

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Assignments

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Notes