Question

Given: A shaft is rotating about the fixed X-axis at a constant rate of Ω. A square plate is pinned at its center O to the centerline of the shaft and is rotating relative to the shaft about O at a constant rate of ˙θ. A set of xyz axes are attached to the plate with its origin at O. An insect on the plate is walking along the y-axis with a constant speed of vrel relative to the plate. Find: Determine the velocity and acceleration of the insect when the insect has reached the edge of the plate. The insect reaches the edge of the plate when θ = 0◦ . A ! b x y O X Y b O ! ! b x y O X Y b O ! vrel P Use the following parameters in your analysis: b = 6 in, vrel = 12 in/s, Ω = 3 rad/s and ˙θ = 5 rad/s.

Homework H.3..J Given: A shaft is rotating about the fixed X-axis at a constant rate of Ω. A square plate is pinned at its center O to the centerline of the shaft and is rotating relative to the shaft about O at a the plate is walking along the y-axis with a constant speed of vrel relative to the plate. Find: Determine the velocity and acceleration of the insect when the insect has reached the edge of the plate. The insect reaches the edge of the plate when θ 0° ar Use the following parameters in your analysis: b = 6 in, vre1 = 12 in/s, Ω-3 rad/s and rad/s = 5

Answer 1

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