In the slider crank mechanism shown below, crank OA of length 75 mm rotates with a uniform speed of 120 rpm . Find the linear velocity of the point Q at 50 mm on the extended connecting rod (as shown). Given BA $=300 \mathrm{~mm}$, $\mathrm{AQ}=50 \mathrm{~mm}$.

Explanation

To find the linear velocity of point Q, we need to use the relation v = rω, where r is the distance of point Q from the axis of rotation and ω is the angular velocity of the crank. The distance of point Q from the axis of rotation is r = 300 + 50 = 350 mm. The angular velocity ω can be found using the relation ω = (120 × 2π) / 60 = 4π rad/s.

In the slider crank mechanism shown below, crank OA of length 75 mm rotates with a uniform speed of 120 rpm . Find the linear velocity of the point Q at 50 mm on the extended connecting rod (as shown). Given BA $=300 \mathrm{~mm}$, $\mathrm{AQ}=50 \mathrm{~mm}$.

Explanation

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