A uniform rod of length 50 cm is released in the vertical plane from the position shown in the figure. The rod is hinged smoothly at O . The angular speed of rod when it becomes horizontal is ( take g = 10 m s - 2 )

Question

A uniform rod of length 50 cm is released in the vertical plane from the position shown in the figure. The rod is hinged smoothly at O . The angular speed of rod when it becomes horizontal is ( take g = 10 m s - 2 ), 30 rad s - 1, 30 rad s - 1, 40 rad s - 1, 32 rad s - 1

MARKS App · Accepted Answer

From the conservation of mechanical energy mg l 2 sin ⁡ 30 = 1 2 Iω 2 mg l 2 sin ⁡ 30 = 1 2 ml 2 3 ω 2 ω = 3 g 2 l = 3 × 10 2 × 50 × 10 - 2 = 30 rad s - 1

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