Physics Times – July 2019

ANGULAR IMPULSE

1. Two particles of equal mass m at A and B are
   connected by a rigid light rod AB lying on a smooth
   horizontal table. An impulse J is applied at A in the
   plane of the table and perpendicular to AB. The
   velocity of particle at A is:


2. An impulse J is applied on a ring of mass m along a
   line passing through its centre O. The ring is placed
   on a rough horizontal surface. The linear velocity of
   centre of ring once it starts rolling without slipping
   is

(a) J/3m (b) J/m (c) J/4m (d) J/2m

3. A uniform solid sphere of radius r is rolling on a
   smooth horizontal surface with velocity v and angular
   velocity
   4. A solid sphere of mass M and radius R is placed
   on a rough horizontal surface. It is struck by a
   horizontal cue stick at a height h above the
   surface. The value of h so that the sphere
   performs pure rolling motion immediately after
   it has been struck is

(a)

2 J

m (b) Zero (c)

J

m (d) 2

J

m

 v r . The sphere collides with the

wall as shown in the figure. The coefficient of friction

between the sphere and the edge

5. 
   

   Consider a body, shown in the figure, consisting
   of two identical balls, each of mass M connected
   by a light rigid rod. If an impulse J = Mv is
   imparted to the body at one of its ends, what
   would be its angular velocity?

   
   


6. 
   


7. 
   


8. 
   

4.

5.

1 / 5.Just after

the collision the angular velocity of the sphere

becomes zero. The linear velocity of the sphere just

after the collision is equal to

(a) 6

v

(b) 5

v

(c) v (d)

3

5

v

(a)

7

5

R

(b)

2

5

R

(c)

9

5

R

(d)

5

5

R

(a) V/L (b) 2V/L (c) V/3L (d) V/4L