The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 𝜔 1 . A rigid bar PQ is pinned to the wheel at P while the end Q slides on the floor. What is the angular velocity 𝜔 2 of the bar PQ?

Correct Answer is : 𝜔2 = 0.25𝜔1

GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 𝜔₁. A rigid bar PQ is pinned to the wheel at P while the end Q slides on the floor.
What is the angular velocity 𝜔₂ of the bar PQ?

𝜔₂ = 2𝜔₁
𝜔₂ = 𝜔₁
𝜔₂ = 0.5𝜔₁
𝜔₂ = 0.25𝜔₁

Validate

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