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

Question

One end of a spring of force constant k is fixed to a vertical wall and the other to body of mass m resting on a smooth horizontal surface. There is another wall at a distance x 0 from the body. The spring is then compressed by 2 x 0 and released. The time taken to strike the wall first time is, π 6 m k, m k, 2 π 3 m k, π 4 m k

MARKS App · Accepted Answer

In diagram B denotes the mean position. Let, T be Time period of oscillation of the spring-mass system Time from B to C , t BC can be given by BC = ABsin ⁡ 2 π T t BC BC AB = x 0 2 x 0 = 1 2 t BC = T 12 The total time from A to C t AC = t AB + t BC = T 4 + T 12 = T 3 t AC = 2 π 3 m k

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