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In the figure shown when the massless spring is in released state its free end is at point B. A very small block is ressed against the spring by a distance delta and the released from rest. Except the portion BC where coefficient of kinetic friction is mu_(k), track is smooth everywhere. Determine the spring compression delta so that the block enters a small hole at E. Consider all values shown in the figure. |
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Answer» Solution :We determine the speed REQUIRED at `D` so that the block falls into the HOLE at `E` by following a parbolic trajectory. `v_(d)=`speed at `D` `v_(d)=sqrt(8gd)` APPLYING conservation of energy for motion from `A` to `D` `(1)/(2)kdelta^(2)=mu_(k)mgd+mgd+(1)/(2)m(8gd) rArr delta=sqrt((2mgd)/(k)(mu_(K)+5))` |
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