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lisov135 [29]
4 years ago
5

A large block attached to a spring is undergoing simple harmonic motion horizontally, with angular frequency ω and amplitude A.

On top of the block there is a small mass m which has a coefficient of friction µ with the surface of the block. What is the smallest value of µ (in terms the given values, and the gravitational constant g) for which the small mass does not slide while sitting on top of the block?
Physics
1 answer:
Naily [24]4 years ago
3 0

Answer:

Explanation:

It is a problem based on simple harmonic motion and friction . maximum friction possible between large block and mass m is µ mg . During SHM , maximum acceleration is ω² A and force is  mω² A .

friction must exceed it so that mass m may not slip over it during motion . so

µ mg ≥ mω² A

µ ≥ mω² A / mg

smallest value of µ

= mω² A / mg

= ω² A /g

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