Q2) A bowling ball is modeled as a sphere with uniform density and mass mball= 2.52 kg and radius r= 0.174 m. It rolls without slipping with 3.37 revolutions per second. It hits a massless spring with spring constant k = 1.60e+3 N/m. What is the compression of the spring when the bowling ball comes to a standstill? Assume that the motion of the bowling ball throughout is rolling without slipping, and neglect rolling friction.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.