If the cord at B suddenly fails, determine a) The angular acceleration of the beam. b) The horizontal and vertical components of the initial reaction at pin A. The beam has a mass of 50 kg. Treat the beam as a uniform slender rod.

SAMPLE PROBLEM 6/2 The vertical bar AB has a mass of 150 kg with center of mass G midway be- tween the ends. The bar is elevated from rest at 0 = 0 by means of the parallel links of negligible mass, with a constant couple M = 5 kN•m applied to the lower link at C. Determine the angular acceleration a of the links as a function of 6 0.6 m B 1.5 m and find the force B in the link DB at the instant when 0= 30°. 1.8 m Solution. The motion of the bar is seen to be curvilinear translation since the bar itself does not rotate during the motion. With the circular motion of the mass center G, we choose n- and t-coordinates as the most convenient descrip- LO 1.5 m A M

The 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part A Determine the angular acceleration of the spool. Express your answer to three significant figures and include the appropriate units. HA a = Value Units Submit Request Answer Part B Figure < 1 of 1 Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. 0.4 m В HÀ ? 0.6 m Value Units aG = M = 450 N-m Submit Request Answer

The 3.0 kg pendulum with mass center G is pivoted at A to the ficed support CA. It has a radius of gyration of 425 mm about O-0 and swings through an amplitude 0 pendulum is in the extreme position, calculate the moments Mx, M, and M, applied by the base support to the column at C. (M, = -5.64NM, M, = 1.976NM) 60°. For the instant when the 200 mm 400 mm 500 mm

2. The uniform bar of mass 5-kg and a length of 0.5 m is balanced in the vertical position when a horizontal force of P = 20 N is applied to the roller at A. Determine the bar's initial angular acceleration and the acceleration of its top point B. B

The 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer

In the figure below, the ring E has a mass mẸ = 30 kg and a radius of gyration about its center C of kc = 250 mm. A load mp = 40 kg carried by the ring E has an initial downward velocity 1.2 m/s when a clockwise torque is applied to the drum A to maintain a constant force F = 480 N in the cable at B. Calculate the angular velocity of the ring 5 seconds after the torque is applied to the drum and the tension in the cable at O. Neglect all frictions В E 375 mm V1 = 1.2 m/s

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The slender L-shaped bar ABCD mass 15 kg/m is free to rotate about thepin at B. The spring connected to the bar at A has a free length of 7 ft, and itsstiffness is 180 N/m. If the system is released from rest in the position shown,determine the angular velocity of the bar when A is directly above B.

1000 lb -8 ft +2ft A beam that weighs 300 lbs is supported by a roller and pin B and A respectively while being subjected to a force of 1000 lbs. If the pin at A is suddenly removed, determine the beams angular acceleration, the force exerted by support B and the horizontal acceleration just after A is removed. Assume the beam is a slender rod of negligible thickness. Please don't use angle measurements when solving. Use the 3-4-5 triangle to solve, if that makes sense. Thank you! Choutranco impgo tout