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Mechanics help,find the particular solution and amplitude

  • Thread starter smithy100
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a block P of mass m lies on a smooth plane AB that is inclined at angle (alpha) to the horizontal.The block is attatched to the bottom of the plane,A, by a spring of stiffness 2k and natural length L0.The block is initially released from rest from the equilibrium position.the equilibrium position of the block ,measured from A along the slope is L0-(mg/2k)sin(alpha)
a)find the particular solution of the differential equation that satisfies these initial conditions
b)write down the period and amplitude of the subsequent motion

can some one show me how this is done thanks
how do i find the amplitude?
 

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