Question

A sphere is pure rolling on a horizontal surface such that its centre moves with 5 m/s as shown in figure. What is the magnitude of velocity of point B on this sphere?

• A. 5 m/s
• B. $5\sqrt{3}$ m/s
• C. $5\sqrt{2}$ m/s
• D. $\frac{5}{\sqrt{2}}$ m/s

Answer 1

The correct option is C $5\sqrt{2}$ m/s

The net velocity of B is the vector sum of two velocities. I hope you remember what you just learned!

where v = R$\omega$ = 5 m/s
${\left|{\overrightarrow{V}}_{net}\right|}_B=\sqrt{25+25}$
$=5\sqrt{2}$m/s.