# The pin P has a mass of 0.2 kg. It is constrained to move along the frictionless curved slot as shown. As the arm OA rotates, the radial distance between pin P and pivot O is constrained to follow the function r = (0.6cos2 m. The arm OA rotates with a constant angular speed θ =-3 rad/s. The whole thing is on the vertical plane (gravity cannot be neglected). At the moment when θ三0, determine: The normal force exerted on the pin by the wall. (Hint: at θ = 0 this force will be horizontal and along the er component. The normal force exerted on the pin by the arm OA. (Hint: at θ = 0 this force will be vertical and along the eθ component. The net normal force (magnitude) exerted on the pin. (Easy once you solved (a) and (b)) a. b. c. r (0.6 cos 20) m More hints on problem 5: Draw your FBD and IRD when θ 0, such that the reaction forces (from the wall and the arm) are horizontal and vertical, respectively. The only “body” in your FBD should be the pin. Dio not draw the arm or the track!!! Work this problem in polar coordinates!!! It will be nearly impossible to solve otherwise. The most tedious part of this problem is to derive an expression for ř and i (you need to take the derivative of r, which requires careful application of chain rule and product rule.) γ, γ and γ will be functions of θ, θ and θ, which have known values in this problem and you can therefore just plug in. You should end up with actual values for r,f and i. Use Newton’s 2″d Law using polar accelerations. (You should have one equation for the êr direction and another for the êa direction, The answer to part c is 5.75 N

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