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Question Number 53151 by Necxx last updated on 18/Jan/19

A d i s c o f r a d i u s r s u s p e n d e d f r o m

a p o i n t l i e o n i t s e l f . F i n d o u t t h e

m i n i m u m t i m e p e r i o d o f o s c i l l a t i o n

o f t h e d i s c .

Answered by mr W last updated on 18/Jan/19

i h o p e i u n d e r s t a n d y o u r q u e s t i o n c o r r e c t l y .

m a x i m u m t i m e p e r i o d :

I = \frac{3 {M r}^{2}}{2}

I α = - M g r \sin θ \approx - M g r θ

\frac{3 {M r}^{2}}{2} α = - M g r θ

α = \frac{d^{2} θ}{{d t}^{2}} = - \frac{2 g}{3 r} θ

ω = \sqrt{\frac{2 g}{3 r}}

\Rightarrow T = 2 π \sqrt{\frac{3 r}{2 g}}

Commented by mr W last updated on 18/Jan/19

m a y b e y o u m e a n t s o m e t h i n g d i f f e r e n t .

Commented by Necxx last updated on 18/Jan/19

t h a n k y o u s o m u c h . T h a t s j u s t h o w

t h e q u e s t i o n w a s f r a m e d

Commented by mr W last updated on 18/Jan/19

{w h a t}^{'} s t h e s o l u t i o n g i v e n ?

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