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Bending A Cyclist - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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3 Questions around this concept.
Solve by difficulty
A cyclist goes on a round a circular path with constant speed with 30m/s . If the radius of the path is 90m then the angle made by him with vertical will be:
A cyclist is moving with a velocity 20m/s. if he wants to take a circular turn of radius 40 m then for his safe turn what should be the value of angle made by the cyclist with vertical $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)$
Direction : In the following question, a statement of Assertion ( A ) is followed by a statement of reason (R). Mark the correct choice as
Assertion : When the turning cycle doubles his speed, then his chances of skidding becomes four times.
Reason : When the speed of vehicle increases, the angle of bending also increases .
Concepts Covered - 1
Bending a Cyclist
From figure.
$
R \sin \theta=\frac{m v^2}{r}
$
$
R \cos \theta=m g
$
$
\begin{aligned}
& \text { (i) \& (ii) } \\
& \tan \theta=\frac{v^2}{r g} \\
& \theta=\tan ^{-1}\left(\frac{v^2}{r g}\right) \\
& \mathrm{V}=\text { velocity } \\
& \mathrm{r}=\text { radius of track } \\
& \theta=\text { angle with which cycle leans }
\end{aligned}
$
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