The solid right-circular cylinder of mass 500 kg is set into torque-free motion with its symmetry axis initially aligned with the fixed spatial line a–a. due to an injection error, the vehicle’s angular velocity vector ω is misaligned 5◦ (the wobble angle) from the symmetry axis. calculate to three significant figures the maximum angle φ between fixed line a–a and the axis of the cylinder.

30.95°

Explanation:

We need to define the moment of inertia of cylinder but in terms of mass, that equation say,

Replacing the values we have,

At the same time we can calculate the mass moment of intertia of cylinder but in an axial way, that is,

Finally we need to find the required angle between the fixed line a-a (I attached an image )

Replacing the values that we have,

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