A body that undergoes pure rotational motion without translation, will have a. K

Question

A body that undergoes pure rotational motion without translation, will have

a. Kinetic energy, momentum, and angular momentum

b.Angular momentum, momentum, but not kinetic energy

c.Kinetic energy, angular momentum, but not momentum

d.Angular momentum, but not momentum or kinetic energy

e.None of these, kinetic energy, momentum, or angular moment

a. Kinetic energy, momentum, and angular momentum

b.Angular momentum, momentum, but not kinetic energy

c.Kinetic energy, angular momentum, but not momentum

d.Angular momentum, but not momentum or kinetic energy

e.None of these, kinetic energy, momentum, or angular moment

Explanation / Answer

a. Kinetic energy, momentum, and angular momentum

Because at any point on the rim, the translational speed will be:

v = r w

so the momentum will be:

P = m v

KE = 1/2 m v^2 + 1/2 I w^2

angular momentum = L = I w

So it will have all three.

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