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. I foundI=0.036, and then I would have to use T=2(pi)squareroot (I/k),where k is the constant kappa. How do I find K and solve forthis?
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 is increasedto 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 is increasedto 1 kg?

Explanation / Answer

A)the period is T = (2/w) = 2 * (I/m * g * d)1/2 I = (m * r2/2) or T = 2 * ((m * r2/2)/m * g *d)1/2 or T = 2 * (r/(2gd)1/2) d = (r/2) or T = 2 * (r/(2g(r/2))1/2) = 2* (r/g)1/2 B)the frequency will be the same when the mass of the hoop isincreased to 1 kg B)the frequency will be the same when the mass of the hoop isincreased to 1 kg

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