Questions

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 ${\mathrm{x}}_{0}$ from the black. The spring is then compressed by $2{\mathrm{x}}_{0}$ and released. The time taken to strike the wall is

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a

16πkm

b

km

c

2π3mk

d

π4km

detailed solution

Correct option is C

The total time from A to CtAc=tAB+tBC=(T/4)+tBCwhere T = time period of oscillation of spring mass system tBC can be obtained from, BC=ABsin(2π/T) tBCPutting BCAB=12 we obtain tBC=T12⇒tAC=T4+T12=2π3mk.

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