Question
Asked Dec 2, 2019
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In the figure provided, two boxes oscillate on a frictionless surface. The coefficient of static friction between the two boxes is 0.440 and the spring constant in the spring is 54.5 N/m. If the smaller box has a mass of 3.51 kg and the larger box has a mass of 8.47 kg, what is the maximum oscillation amplitude for which the 3.51 kg box does not slip?

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Expert Answer

Step 1

Write the expression for maximum acceleration

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Ao k m+m

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Step 2

Write the condition for no slipping of the small mass

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sF ma SF k |am um,g m.A m+m g(m+m) A S k

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Step 3

Substitute the...

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(0.440)(9.8 m/s2) (8.47+3.51) kg (54.5 N/m) 0.948 m

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Science

Physics

Friction

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