A block of mass M connected to an ideal spring of force constant k lies in equilibrium on the smooth floor of a room. The other end of the spring is fixed to the left wall of the room. The room begins to move to the right with a constant acceleration `a_(0)`. In the reference frame of the room the block begins to perform simple harmonic motion.
At a certain instant (say `t = t_(0))` when the block was at its left extreme, the acceleration of the room vanishes. Plot the x - t graph for the block taking time t = 0 when the room started accelerating.

Show the graph till time `t_(0)` and beyond that. Take origin to be at the left wall and positive x direction towards right (as shown in figure). Assume no collision of the block with walls.

Answer

`(##IJA_PHY_V01_C12_E01_032_A01##)`