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A string is wrapped several times around the rim of a small hoop with radius r and mass m. The free end of the string is held in place and the hoop is released from rest.. (picture attached~)

So I tried using moment of inertia as mass*radius^2, so torque would be MR^2*alpha, and it would also be tension*R.

Solving for tension would give me mass*acceleration as tension.

Then net force would be tension-mass*gravity.

m*a=T-m*g

T=T-m*g

Now that doesn't make any sense.

Can anyone help?

So I tried using moment of inertia as mass*radius^2, so torque would be MR^2*alpha, and it would also be tension*R.

Solving for tension would give me mass*acceleration as tension.

Then net force would be tension-mass*gravity.

m*a=T-m*g

T=T-m*g

Now that doesn't make any sense.

Can anyone help?