A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.5 g cylinder has a total length of 6.65 cm. The 41.5 g disk has a radius of 1.75 em, and its center of masN is located a distance of 1.51 cm from the tip at the bottom of the thin cylinder. The child places the top on its pedestal and gives it an angular speed of 72.5 rad/s. When she turns to show her parents, she accidentally bumps the top, which begins to precess about a vertical axis through the point where the top contacts the pedestal. As the top precesses, it makes an angle o= 12.8 with the vertical axis. Determine the precessional angular speed o, of the top. Use g= 9.81 m/s for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible. rad/s

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.