A mass M of oscillating on a spring (force constant k=10 n/m)with an amplitude A

Question

A mass M of oscillating on a spring (force constant k=10 n/m)with an amplitude A as shown has a mass M frictionallly coupled tit. Static friction coefficient is 0.6, how large does A haveto be before m begins to slip? (Assume M=m=0.1Kg) a) .051 b) .118 c) .187 A mass M of oscillating on a spring (force constant k=10 n/m)with an amplitude A as shown has a mass M frictionallly coupled tit. Static friction coefficient is 0.6, how large does A haveto be before m begins to slip? (Assume M=m=0.1Kg) a) .051 b) .118 c) .187

Explanation / Answer

so gravity is pulling the mass down with a force of .1kg *9.8m/s2 = .98N and the coefficient of static friction is .6 so the force offriction is .98N * .6 = .588N we need the force from the spring to equal this to cause the blockon top to be dislocated, thus -kx = .588 10 x = .588 x = .0588 m

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