3-2.Motion in Plane
medium

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$0$
B${30}$
C$45$
D${60}$
(IIT-1992)

Solution

(c) $\tan \theta = \frac{{{v^2}/r}}{g} = \frac{{{v^2}}}{{rg}}$
$\theta = {\tan ^{ – 1}}\left( {\frac{{{v^2}}}{{rg}}} \right)$ $ = {\tan ^{ – 1}}\left( {\frac{{10 \times 10}}{{10 \times 10}}} \right)$
 $\theta = {\tan ^{ – 1}}(1) = 45^\circ $
Standard 11
Physics

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