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Using a forked rod, a smooth cylinder P, having a mass of 0.4 kg, is forced to move along the vertical slotted path r = (0.6θ) m, where θ is in radians. If the cylinder has a constant speed of υc = 2 m/s, determine the force of the rod and the normal force of the slot on the cylinder at the instant θ = π rad. Assume the cylinder is in contact with only one edge of the rod and slot at any instant. Hint: To obtain the time derivatives necessary to compute the cylinder’s acceleration components ar, and aθ, take the first and second time derivatives of r = 0.6θ. Then, for further information, use Eq. 12-26 to determine
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Chapter 13 Solutions
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- The rate of the rotating arm is 4 rad/s when it is 3 rad/s² and 0 = 180°. Determine the force it must exert on the 0.45 kg smooth cylinder if it is confined to move along the slotted path. Motion occurs in the horizontal plane. Round your answer to 2 decimal places. 6 = 4 rad/s, 0 = 3 rad/s²/ r 0 = 180° r = (²7) marrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.arrow_forwardThe spring-mounted 0.89-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate θ˙=8.2θ˙=8.2 rad/s. At a certain instant, r is increasing at the rate of 700 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.63, calculate the friction force F exerted by the rod on the collar at this instant.arrow_forward
- The small cylinder C has a mass of 10 kg and is attached to the end of a rod whose mass may be neglected. The frame is subjected to a couple of moment M = 26Nm, and the cylinder is subjected to a force of F = (5t² + 6) N, where t is in seconds, which is always directed in the same direction as the cylinder's velocity as shown. The cylinder has a speed vo= 2 m/s when t = 0. (Figure 1) Figure 0.75 m M 1 of 1 Part A Determine the speed of the cylinder when t = 3 s. Express your answer to three significant figures and include the appropriate units. v= |μA Value Submit Request Answer < Return to Assignment Units Provide Feedback ?arrow_forwardThe weight of the spring held follower AB is 0.375 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in Ib, at the end A of the follower where 0 = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. z = 0.1 sin 20 C 0.2 ft B 6 = 6 rad/s k = 12 lb/ftarrow_forwardThe tractor is used to lift the 170-kg load B with the 24-m-long rope, boom, and pulley system. The tractor travels to the right with an acceleration of 4 m/s² and has a velocity of 5 m/s at the instant SA = 5 m. When SA = 0, SB = 0. (Figure 1) Figure 12 m -SA 1 of 1 Part A Determine the tension in the rope at this instant. Express your answer to three significant figu T = Value N Submit Previous Answers Request Answ X Incorrect; Try Againarrow_forward
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