Infer the mass distribution from a descent

A rigid circular body starts from rest and rolls without slipping down a vertical height of 0.90 m. Its centre reaches speed 3.0 m/s. Write I_C=βmr² and take g=10 m/s².

What value of β follows from the energy measurements?

Organize the givens & assumptions

Height loss: 0.90 m
Centre speed: 3.0 m/s
g=10 m/s²

Stationary surface, no rolling resistance or other energy losses; static contact does no work; the rotation axis goes through the centre.

A $0.50$
B $1.00$
C $2.00$
D $0$

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