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Consider an ideal massless rubber-band which has an upstretched ‘l’. A roll of 50 pennies of...

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Physics

Consider an ideal massless rubber-band which has an upstretched‘l’. A roll of 50 pennies of total mass mpis attached tothe rubber band. The new stretched length of the rubber band withthe pennies hanging down from the end of the rubber band is 1:

Assume the rubber band satisfies Hookes’ law when it isstretched, what is the spring constant of the rubber band?

A small nut with mass with the mass mnis thenattached to the rubber band and both are rotated by a motor at anunknown constant frequency f. The rubber band is stretched to alength ‘l’.

Find an expression for the frequency

How long does it take for the nut to complete one rotation?

What is the angular frequency of the nut?

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