A solid cylindrical drum of mass 6.0 kg and diameter 0.06 m rolls without slipping on a

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A solid cylindrical drum of mass 6.0 kg and diameter 0.06 m rolls without slipping on a horizontal surface (Figure). The axle of the drum is attached to a spring of spring constant k = 4000 N/m as shown.

(a) Determine the frequency of oscillation of this system for small displacements from equilibrium.

(b) What is the minimum value of the coefficient of static friction such that the drum will not slip when the vibrational energy is 5.0J?

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