A pendulum can complete circular motion on an smooth inclined plane having inclination 30° from horizontal. Find its minimum speed when it is at lowest position on its path so that the pendulum can complete circular motion. Length of the pendulum string is 4 m.

Engineering

Physics

Circular Motion in Vertical Plane

Vertical Circular Motion

Question

A pendulum can complete circular motion on an smooth inclined plane having inclination 30° from horizontal. Find its minimum speed when it is at lowest position on its path so that the pendulum can complete circular motion. Length of the pendulum string is 4 m.

8 ms^–1

4 ms^–1

10 ms^–1

$10 \sqrt{2}$ ms^–1

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V = $\sqrt{5 gR}$ = $\sqrt{5 \times \frac{10}{2} \times 2}$ = 10 ms^–1