8) End A of the uniform 15 lb bar is attached to a horizontal rope and end B contacts the floor with negligible friction. 45° 3 ft Knowing that the bar is released from rest in the position shown, determine immediately after release: (a) The angular acceleration of the bar (b) The tension in the rope (c) The reaction at B ANS. a=-11.38k r/s² 7=-5.637 lb Ñ=9.37j lb

2. A cord is wrapped around a homogeneous disk of radius r = 0.5 m and mass m = 14. 25 kg. If the cord is pulled upward with a force T of magnitude 171 N, determine a. the acceleration of the center of the disk, b. the angular acceleration of the disk, c. the acceleration of the cord. T 0.5 m Go A Draw the Free Body Diagram.

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B. L 15° 30° A uniform bar of mass 166.93 kg and length L=2.1 m is supported by two massless frictionless roller blocks in the vertical plane, and held in static equilibrium by a horizontal force P at point A as shown. If the acceleration due to gravity g=9.81 m/s², determine the magnitude of P. O a. P = 409.51 N O b. P = 409.40 N O c. P = 409.30 N O d. P = 409.64 N e. P = 409.77 N O f. P = 409.21 N

The parallelogram linkage shown moves in the vertical plane with the uniform 9.3-kg bar EF attached to the plate at E by a pin which is welded both to the plate and to the bar. A torque (not shown) is applied to link AB through its lower pin to drive the links in a clockwise direction. When e reaches 51°, the links have an angular acceleration and an angular velocity of 7.0 rad/s² and 2.3 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E. Welded 1435 mm pin F 995 995 mm mm B D Horizontal Answers: F = i N M = i N•m

The 100 kg cylinder has an angular velocity of 30 rad/s If the coefficient of kinetic friction is 0.2. The axle through the cylinder is connected to 2 symmetrical links (only AB is shown) Assume that the links are massless. 11 20⁰ 500 mm Mass moment of inertia (kg.m²) FAB (N) Normal force with the ground N (N) co = 30 rad/s Choose C 2 D B 200 mm

Bar BC weighs 161 lb and has a radius of gyration of mass with respect to a hor- izontal axis through G of 3.0 ft. The bar is supported by the cords AB and CD which rotate in the same vertical plane. The speed of the mass centre, when in the position shown, is 12 fps. Determine the tension in cables AB and CD for this position.

The 9-kg rod AB, which length is 2.0-m, is pin connected at A and attached to a horizontal spring at B. The spring will always remain horizontal. k M 1. The rod is subjected at A to a couple M. The rod forms an angle 0-30° with the vertical when the spring, of stiffness 27 N.m, is unstretched. Determine the couple M required to the observe an angular velocity of the rod w=6 rad/s when 0 =51.

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