A mass 2m rotating freely in a horizontal circle of radius 1 m on a frictionless smooth table supports a stationary mass m, attached to the other end of the string passing through smooth hole O in table, hanging vertically. Find the angular velocity of rotation.

Engineering

Physics

Newtons Second Law of Motion

Circular Motion in Vertical Plane

Free Body Diagram

Question

A mass 2m rotating freely in a horizontal circle of radius 1 m on a frictionless smooth table supports a stationary mass m, attached to the other end of the string passing through smooth hole O in table, hanging vertically. Find the angular velocity of rotation.

$2 \sqrt{5} rad / s$

$\frac{\sqrt{5}}{2}$ rad/s

$\sqrt{5} rad / s$

$\sqrt{10} rad / s$

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2m(1) ω² = mg ω = $\sqrt{\frac{g}{2}}$ = $\sqrt{5}$ rad/s