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Please solve this question. 

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Asked by Tanmmygarg6 15th October 2019, 9:37 AM
Answered by Expert
Answer:
For spring 
K x minus f equals m a minus negative negative negative negative left parenthesis 1 right parenthesis
A l s o
T o r q u e comma tau equals I alpha space o r space tau equals f R
T h e r e f o r e
I alpha equals f R minus negative negative negative negative negative negative negative left parenthesis 2 right parenthesis
f r o m space e q u a t i o n space left parenthesis 1 right parenthesis
f equals K x minus m a
L e t s space s a y space d i s c space i s space r o t a t e d space b y space s m a l l space a n g l e space theta
a n d space w e space k n o w space t h a t space theta equals fraction numerator a r c over denominator r a d i u s end fraction
theta equals x over R
x equals R theta
a n d space a subscript c equals alpha R
N o w
f equals K R theta minus m alpha R
s u b s t i t u t i n g space i n space e q u a t i o n space 2 space

fraction numerator M R squared over denominator 2 end fraction alpha equals open parentheses K R theta minus m alpha R close parentheses R
O n space s o l v i n g
alpha equals fraction numerator 2 K theta over denominator 3 M end fraction
a n d space alpha equals omega squared theta
omega squared theta equals fraction numerator 2 K theta over denominator 3 M end fraction
omega equals square root of fraction numerator 2 K over denominator 3 M end fraction end root
2 pi f equals square root of fraction numerator 2 K over denominator 3 M end fraction end root
f equals fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator 2 K over denominator 3 M end fraction end root
Answered by Expert 15th October 2019, 3:42 PM
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