Question

The centre B of a wheel rolling on a plane surface moves with a speed $V_0$. The speed of point A, B and C are respectively

• A. $V_0,V_0,2V_0$
• B. $V_0,V_0,0$
• C. $\sqrt{2}{V}_0,V_0,2V_0$
• D. $\sqrt{2}{V}_0,V_0,V_0$

Answer 1

The correct option is C $\sqrt{2}{V}_0,V_0,2V_0$

Point O is the Instantaneous centre (Zero Velocity Point) of rotation and it is at the point of contact between the wheel and floor.

$\omega =\frac{V_0}{R}$

$\text{Distance of poin A from O}=\sqrt{R^2+R^2}=\sqrt{2}R$

$\text{Speed of point A}=\omega \sqrt{2}R=\sqrt{2}{V}_0$

$\text{Speed point B}=V_0$

$\text{Speed of point C}=\omega \times 2R=2V_0$