A 19.5 g coin of diameter 1.5 cm is spinning at 4 rev/s about avertical diameter

Question

A 19.5 g coin of diameter 1.5 cm is spinning at 4 rev/s about avertical diameter at a fixed point on a tabletop.

a)What is the angular momentam of the coin about its center ofmass? (A coin is a cylinder of length l and radius R,where l is negligible compared to R.) Answer in units ofkg.m2/s

b)What is its angular momentum about a point on the table 10 cmfrom the coin? Answer in units ofkg.m2/s.

c)If the coin spins about a vertical diameter at 4 rev/s while itscenter of mass travels in a straight line across the tabletop at 11cm/s, what is the angular momentum of the coin about a point on theline of motion of the center of mass? Answer in units of kg.m2/s.

d) Consider the angular momentum of the coin about a point 16 cm toeither side of the line of motion of the center of mass. What isthe smaller angular momentum of the coin? Answer in units ofkg.m2/s.

Explanation / Answer

It seems to me that you need to derive the formula for angularmomentum using calculus. Is this true?

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