A wheel of radius R=1 m is rolling without sliding uniformly on a horizontal surface. Find the radius of curvature of the path (in m), of a point on its circumference when it is at highest point in its path?

Question

Aicharya · Accepted Answer

Rolling:
* No Relative motion
$
\begin{aligned}
V &=R \omega \\
V_{\text {total }} &=v+R \omega \\
&=v+v=2 \mathrm{~V}
\end{aligned}
$

het 'r be the required radius
- Centripetal
nen $F_{\text {orce }}=\frac{\left(V_{\text {total }}\right)^{2}}{\gamma}=\frac{v^{2}}{R}$
$\Rightarrow \frac{\left(2 v^{\prime}\right)^{2}}{r}=\frac{V^{2}}{R}$
$r=4 R$
$\Rightarrow r=4 m$

A wheel of radius R=1 m is rolling without sliding uniformly on a horizontal surface. Find the radius of…

Solution