Question

A uniform sphere is rotating with constant angular velocity '$\omega$' about one of its diameter OO^I which is perpendicular to the line joining A and B. Points A and B are at a separation of $\frac{R}{3}$ and $\frac{R}{2}$ from the origin of the solid. Choose the correct statement:-

• A. Angular velocity of A with respect to B is
• B. Angular velocity of A with respect to B is
• C. Magnitude of linear velocity of A is greater than B at any instant
• D. Magnitude of linear velocity of B is greater than A at any instant

Answer 1

The correct option is D

Magnitude of linear velocity of B is greater than A at any instant

The angular velocity of a body is 'ω' with respect to any point on the body therefore is called angular velocity of the body per see.

Now,

|$\overrightarrow{V_A}$| = $\frac{R}{3}$ $\omega$

and |$\overrightarrow{V_B}$| = $\frac{R}{2}$ $\omega$

|$\overrightarrow{V_B}$| > |$\overrightarrow{V_A}$|