A block is attached to a spring and is placed on a horizontal smooth surface as shown in which spring is unstretched. Now the spring is given an initial compression `2x_(0)` an block is released from rest. Collision with the wall `PQ` are elastic.

Draw `x-t` (position-time) graph for one period. Treating position of block in unstretched position of spring as origin

Options

A.
B.
C.
D.

Answer

B

Explanation

A block is attached to a spring and is placed on a horizontal smooth surface as shown in which spring is unstretched. Now the spring is given an intial compression `2x_(0)`and block is released form rest. Collisions with the wall `PQ` are elastic.

`x=- 2x_(0)cos omegat, -0 lt t lt (T)/(2)`
`x =- 2x_(0) cos (omegat +(2pi)/(3)), (T)/(2) lt t lt T`