How far the particle travels before it next comes to rest

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Reference no: EM131382927

A particle of mass m moves along the x-axis and is acted upon by the restoring force -m(n²+ k²)x and the resistance force -2mkx?, where n, k are positive constants. If the particle is released from rest at x = a, show that, in the subsequent motion

x = (a/n)e^-kt (n cos nt + k sin nt).

Find how far the particle travels before it next comes to rest.

Reference no: EM131382927

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