Question 31: Work, Energy and Power & Circular Motion

Question

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is $8 \mathrm{~m} / \mathrm{s}$. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :

Accepted Answer

If $V_B=2 V$
Point A is instantaneous center of rotation
Given $V_B=8 \mathrm{~m} / \mathrm{s}$
$$\begin{aligned}
& \mathrm{V}=4 \mathrm{~m} / \mathrm{s} \
& \mathrm{~V}_{\mathrm{P}}=\sqrt{2} \mathrm{v} \Rightarrow V_{\mathrm{p}}=4 \sqrt{2} \mathrm{~m} / \mathrm{s} \
& \operatorname{correct}(1)
\end{aligned}$$

Answer

$4 \sqrt{2} \mathrm{~m} / \mathrm{s}$

Answer

$8 \mathrm{~m} / \mathrm{s}$

Answer

$4 \mathrm{~m} / \mathrm{s}$

Answer

$8 \sqrt{2} \mathrm{~m} / \mathrm{s}$

Work, Energy and Power & Circular Motion

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 \mathrm{~m} / \mathrm{s}. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :

Choose the correct answer: