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10.71 A low-friction cart of mass m rests on a horizontal table. The cart is attached...

10.71

A low-friction cart of mass m rests on a horizontal table. The cart is attached to a relaxed light spring constant k. At distance d from the first cart rests a second identical cart. Both cars are covered with Velcro so they stick together if they collide or touch. The first cart is pushed to the left with initial speed v0.

a) Determine the final frequency of a vibrating system. Consider the case when the right care does not reach the left cart. Express your answer in terms of some or all of the variables k, m, v0, and pi.

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Answer #1

When the right cart does not reach the left cart, it is a single mass spring system
The angular frequency of such system is, w = sqrt(k/m)
frequency, f = w/2pi
f = (1/2pi)*sqrt(k/m) = (1/2pi) √(k/m)

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