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A spherical ball of mass `M` moving with initial velocity `u` collides elastically with another ball of mass `M`, which is fixed at one end of `L` shaped rigid massless frame as shown in Fig. (a). The `L` shaped frame contains another mass `M` connected at the other end. The speed of the striking mass after collision isA. `u//7` backwardsB. `u//3` is same directionC. `0`D. `u//2` backwards |
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Answer» Let `v_(1)` be the velocity of striking mass after collision & `v_(2)` be the velocity of centre of mass of frame after collision by momentum conservation `mv=mv_(1)+2mv_(2)`……(`1`) By angular momentum conservation `mv(L)/(2)=mv_(1)(L)/(2)+mL^(2)omega`.....(`2`) `c=1rArrv=(v_(2)+(L)/(2)omega)-v_(1)`.....(`3`) from (`1`). (`2`) and (`3`) `omega=(4v)/(7L)`, `v_(1)=-(v)/(7)` & `v_(2)=(4v)/(7)` |
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