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Newton's method and energy method.
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Q.3

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Q.4

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1] Newton's Method.

Assume, point of vibration at point 'P'

I T = e of all moments.

$+ I_p \theta = -kr \theta \times r$

$I_p \theta = -kr^2 \theta$

$I_p \theta + kr^2 \theta = 0$ . . . . . E O M

$\theta + \frac{kr^2}{I_p} …

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