I\'m not sure if my answer was right and I wanted to check first. Idon\'t know t

Question

I'm not sure if my answer was right and I wanted to check first. Idon't know the formula for Inertia relating to SHM.
A uniform hoop with mass M=400 g, R= 30 cm is pivoted at therim. A) What is the period of the resulting simple harmonicoscillation? B) What will be the frequency if the mass of the hoop isincreased to 1 kg?
A uniform hoop with mass M=400 g, R= 30 cm is pivoted at therim. A) What is the period of the resulting simple harmonicoscillation? B) What will be the frequency if the mass of the hoop isincreased to 1 kg?

Explanation / Answer

Moment of inertia  of the hoop I = M R ^2 (a). period of the resulting simple harmonicoscillations T = 2 [ I / c ] where c = restoring torque for unit angulaedisplacement (B ). Frequency f = 1 / T                            = ( 1/ 2 ) [ c / I ]                         f ( 1/ M ) That is mass increases frequency is decreases

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