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

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

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

A small nut with mass with the mass m_nis then attached to the rubber band and both are rotated by a motor at an unknown constant frequency f. The rubber band is stretched to a length ‘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?

Solutions

Expert Solution

genius_generous answered 1 year ago

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