A cylinder with rotational inertia 0.050 kg m2 is spinning with angular velocity 25 rad/s, clockwise with negligible friction about a vertical axis.  A second cylinder that is not spinning is centered above and dropped onto the spinning cylinder.  Kinetic friction produces torque of amount 0.60 Nm that affects both objects until the two cylinders spin together at angular velocity 18 rad/s, clockwise.    (a) Determine the amount of time it takes for friction to cause the two objects to spin together. (b) Determine the rotational inertia of the second cylinder that was dropped onto the first. (c) Determine the total amount of heat and sound energy resulting from the interaction of the cylinders.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.