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

Question

One end of a spring of force constant k is fixed to a vertical wall and the other to a 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 is:

TestHub · Accepted Answer

From − 2 x 0 ​ to the natural length takes T /4 . Then x = 2 x 0 ​ sin ω t reaches x 0 ​ when sin ω t = 2 1 ​ , ω t = π /6 , i.e. T /12 . Total = T /3 = 3 2 π ​ m / k ​ .

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