One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance x 0 from the block.

Question

One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance x 0 ​ from the block. The spring is then compressed by 2 x 0 ​ and released. The time taken to strike the wall is:

TestHub · Accepted Answer

After release the block executes SHM about the natural-length point with amplitude $2 x_{0}$ .

$x (t) = 2 x_{0} cos ω t$ ; the wall is at $x = x_{0}$ .

$cos ω t = \frac{1}{2} \Rightarrow t = \frac{π}{3 ω} = \frac{π}{3} \frac{m}{k}$

Answer: C

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