A10-kg cylinder rolls without slipping on a rough surface. at an instant when its center of gravity has a speed of 10 m/s, determine (a) the translational kinetic energy of its center of gravity, (b) the rotational kinetic energy about its center of gravity, and (c) its total kinetic energy.

Part a)

Part b)

Part c)

Explanation:

Part a)

As we know that cylinder is rolling without slipping

So we have

now we have

now we know that translational kinetic energy is given as

Part b)

Now for rotational kinetic energy we know that

Part c)

Total kinetic energy is given as

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