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A hollow hemispherical bowl of mass m radius R is placed on a smooth horizontal surface. A particle (also of mass m) strikes the hemi spherical bowl at point P and sticks to it. the velocity of particle just after the collision in vertically upwards direction is (ku)/25, where k is an integer. Find k. |
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Answer» Using CONSERVATION of angular momentum about centre of mass. `"mu" R/4={2/3mR^(2)-(mR^(2))/4+(5mR^(2))/16}omega+(5mR^(2))/16 omega` `=25/24mR^(2)omega` `impliesomega=(6U)/(25R)` `impliesV_(y)=(3u)/25` 
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