Question
Physics moment of inertia of the cylinder
5. A wound around a cylinder of 18.3 cm radius has a 175 gram ma attached. string When released, the mass accelerates at 538 cm/s2. What is the angular acceleration of the system? What is the moment of inertia of the cylinder? Please show detailed calculation. (20 pts)
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Answer #1

To solve this you need to remember both torque equations
T = r F
and
T =(I) (alpha)
since the force of the string does not pass through the center of mass, there is a net torque. So set the two equations equal to each other and plug in the given variables
r = 0.1m
F = 1 N
I = 0.02 kg m^2/s
r F = I alpha
0.1 x 1 = 0.02 x (alpha)
5 rad/s^2 = alpha

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