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FI3-16. The 0.2-kg pin P is constrained to move in the
Chapter 13, Problem F13-16(choose chapter or problem)
The \(0.2-\mathrm{kg}\) pin P is constrained to move in the smooth curved slot, which is defined by the lemniscate \(r=(0.6 \cos 2 \theta) \mathrm{m}\). Its motion is controlled by the rotation of the slotted arm OA, which has a constant clockwise angular velocity of \(\dot{\theta}=-3 \mathrm{rad} / \mathrm{s}\). Determine the force arm OA exerts on the pin P when \(\theta=0^{\circ}\). Motion is in the vertical plane.
Questions & Answers
QUESTION:
The \(0.2-\mathrm{kg}\) pin P is constrained to move in the smooth curved slot, which is defined by the lemniscate \(r=(0.6 \cos 2 \theta) \mathrm{m}\). Its motion is controlled by the rotation of the slotted arm OA, which has a constant clockwise angular velocity of \(\dot{\theta}=-3 \mathrm{rad} / \mathrm{s}\). Determine the force arm OA exerts on the pin P when \(\theta=0^{\circ}\). Motion is in the vertical plane.
ANSWER:
Problem F13-16
The 0.2-kg pin P is constrained to move in the smooth curved slot, which is defined by the lemniscate r = (0.6 cos 20) m. Its motion is controlled by the rotation of the slotted arm OA. which has a constant clockwise angular velocity of 0 = -3 rad/s. Determine the force arm OA exerts on the pin P when 0 = 0. Motion is in the vertical plane.
Step by step solution
Step 1 of 3
Given: , , , .
We need to find time derivatives of r at the moment when :