A rigid body is rotating with variable angula | vedclass

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Question

$\omega=a-b t$

for Rest $\omega=0$

$\frac{\mathrm{d} 	heta}{\mathrm{dt}}=(\mathrm{a}-\mathrm{bt}) \quad \omega=\mathrm{a}-\mathrm{bt}=0, \mathr

Vedclass · Accepted Answer

$\frac{{{a^2}}}{{2b}}$

Vedclass · Answer

$\omega=a-b t$

for Rest $\omega=0$

$\frac{\mathrm{d} 	heta}{\mathrm{dt}}=(\mathrm{a}-\mathrm{bt}) \quad \omega=\mathrm{a}-\mathrm{bt}=0, \mathrm{t}=\frac{\mathrm{a}}{\mathrm{b}}$

$\int {m{d}} 	heta  = \int\limits_0^t {\left( {a - bt} ight)at} $

$	heta=\left[a t-\frac{b t^{2}}{2}ight]_{0}^{a / b}=\frac{a^{2}}{b}-\frac{b a^{2}}{2 b^{2}}=\frac{a^{2}}{2 b}$

A rigid body is rotating with variable angular velocity $(a -bt)$ at any instant of time $t.$ The total angle subtended by it before coming to rest will be ( $a$ and $b$ are constants)

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