Block B in Figure P15.46 is free to slide on the horizontal surface. With block C placed on top of B, the system undergoes simple harmonic motion with an amplitude of \(0.10 \mathrm{~m}\). Block B has a speed of \(0.24 \mathrm{~m} / \mathrm{s}\) at a displacement of \(0.060 \mathrm{~m}\) from its equilibrium position.

(a) Determine the period of the motion.

(b) What minimum value for the coefficient of static friction \(\mu_{\mathrm{s}}\) between \(\mathrm{B}\) and \(\mathrm{C}\) is needed if \(\mathrm{C}\) is never to slip? Ignore any friction between \(B\) and the horizontal surface.

Data from Figure P15.46

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