Comprehension (Figure 5.126): A small block of mass m is fixed at the upper end of a massless vertical spring of constant K = L 4 m g and natural length 10 L . The lower end of the spring is free an

Question

Comprehension (Figure 5.126): A small block of mass m is fixed at the upper end of a massless vertical spring of constant K = L 4 m g ​ and natural length 10 L . The lower end of the spring is free and at height L above a fixed horizontal floor. The spring is unstressed and the system is released from rest. Till the block reaches its lowest position for the first time, the time duration for which the spring remains compressed is:

TestHub · Accepted Answer

ω = 2 g / L ​ . The motion in contact is SHM starting at d = L /4 above equilibrium, amplitude 3 L /4 . Time = ω 1 ​ ( 2 π ​ + sin − 1 A d ​ ) = 4 π ​ g L ​ ​ + 4 g L ​ ​ sin − 1 3 1 ​ .

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