A car is moving in a circular horizontal track of radius $10\, m$ with a constant speed of $10 \,m/sec$. A plumb bob is suspended from the roof of the car by a light rigid rod of length $1.00\, m$. The angle made by the rod with track is ........ $^o$
A car is moving in a circular horizontal track of radius $10\, m$ with a constant speed of $10 \,m/sec$. A plumb bob is suspended from the roof of the car by a light rigid rod of length $1.00\, m$. The angle made by the rod with track is ........ $^o$
$0$
${30}$
$45$
${60}$
A car is moving in a circular horizontal track of radius $10\, m$ with a constant speed of $10 \,m/sec$. A plumb bob is suspended from the roof of the car by a light rigid rod of length $1.00\, m$. The angle made by the rod with track is ........ $^o$
$\tan \theta = \frac{{{v^2}/r}}{g} = \frac{{{v^2}}}{{rg}}$
$\theta = {\tan ^{ - 1}}\left( {\frac{{{v^2}}}{{rg}}} \right)$ $ = {\tan ^{ - 1}}\left( {\frac{{10 \times 10}}{{10 \times 10}}} \right)$
$\theta = {\tan ^{ - 1}}(1) = 45^\circ $
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