# A sphere ball of mass  moving with initial velocity  collides elastically with another ball of mass  which is fixed at one end of  shaped rigid massless frame as shown in Fig (a). The  shaped frame contains another mass  connected at the other end The speed of the striking mass after collision is a)  backwards b) 0 c)  in same direction d)  backwards

## Question ID - 101406 :- A sphere ball of mass  moving with initial velocity  collides elastically with another ball of mass  which is fixed at one end of  shaped rigid massless frame as shown in Fig (a). The  shaped frame contains another mass  connected at the other end The speed of the striking mass after collision is a)  backwards b) 0 c)  in same direction d)  backwards

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Answer Key : (d) -

(d)

Applying conservation of momentum

(i)

(ii)

Applying conservation of angular momentum about ,

(iii)

Solving Eqs. (i), (ii) and (iii), we get

Angle rotated,

Next Question :

Two discs  and  are mounted coaxially on a vertical axle. The discs have moments of inertia  and  respectively about the common axis. Disc  is imparted an initial angular velocity  using the entire potential energy of a spring compressed by a distance . Disc  is imparted an angular velocity  by a spring having the same spring constant and compressed by a distance . Both the discs rotate in the clockwise direction

 The loss of kinetic energy during the above process is a) b) c) d)

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