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A block of mass M connected to an ideal ...

A block of mass M connected to an ideal spring of force constant k, is placed on a smooth surface. The block is pushed to the left so as to compress the spring by a length A and then it is released. The block hits an elastic wall at a distance `(3A)/(2)` from its point of release. Assume the collision to be instantaneous.
(a) Calculate the time required by the block to complete one oscillation
(b) Draw the velocity - time graph for one oscillation of the block.
(c) Find the value of k for which average force experienced by the wall due to repeated hitting of the block is `F_(0)`.

Text Solution

Verified by Experts

The correct Answer is:
(a)`(4pi)/(3)sqrt((M)/(k))`, (b) `(##IJA_PHY_V01_C12_E01_033_A01##)`
(c ) `k=(4pi F_(0))/(3sqrt(3)A)`
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