Use the figure to the right to answer the next two problems. A ball of mass m = 100 g and radius r = 10 cm is suspended from a light spring with spring constant k = 4 N / m.The ball is then immersed in oil with viscosity = 0.2 Pa.s and driven at the resonant frequency by a variable force F = F₀ cos (t) at an amplitude of A = 10 cm.
-What is the value of F_o?

Question

Quizplus · Accepted Answer

The resonant force amplitude $ F_o $ is given by $ F_o = k \cdot A $. Substituting the given values, $ F_o = 4 \, \text{N/m} \times 0.1 \, \text{m} = 0.4 \, \text{N} $. However, considering damping due to oil viscosity, the effective force is reduced, leading to $ F_o = 0.24 \, \text{N} $.

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