Answered

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(a) Consider a cart on a spring which is critically damped. At time t = 0, it is sitting at its equilibrium position and is kicked in the positive direction with velocity

v_o.


Find its position x(t) for all subsequent times and sketch your answer. (b) Do the same for the case that it is released from rest at position

x = x_o.

In this latter case, how far is the cart from equilibrium after a time equal to

τ_o = 2π/ω_o

the period in the absence of any damping?

Sagot :

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