15-98. Determine the angular momentum H, of the 3-kg particle about point O. 3 kgoA 6 m/s 2 m 2 m 2 m _ 15 m 15 m
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Q: 1. The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block is…
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- Each of the two links has a mass of 1.5 kg and a centroidal radius of gyration of 55 mm. The slider at B has a mass of 3.4 kg and moves freely in the vertical guide. The spring has a stiffness of 5.9 kN/m. If a constant torque M = 14.0 N-m is applied to link OA through its shaft at O starting from the rest position at = 45°, determine the angular velocity of OA when 0 = 0. 40 mm 330 mm O Answer: w= i 165 mm 165 mm rad/sAt the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is subjected to a couple moment M= 320 N-m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m В А 0.4 m' G 0.4 m D C M Your Answer: Answer unitsThe 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.
- 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: AnswerAt the instant shown, link CD rotates with an angular velocity of W = 9.5 rad/s. If it is subjected to a couple moment M = 560 N·m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m 0.4 m 0.4 m G Your Answer: Answer B D O W units A M3. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg gear rack B is subjected to a force of P = 200 N, determine the time required for the gear to obtain an angular velocity of 20 rad/s, starting from rest. The contact between the gear rack and the horizontal plane is smooth. 0.15 m ru P = 200 N
- The 0.2-Kg pin P is constrained to move in the smooth curved slot. Which is defined by the lemniscate r = (0.6cos 2theta) m. Its motion is controlled by the rotation of the slotted arm OA, which has a constant clockwise angular velocity of dot theta =-3 rad/s . Determine (a)-the force arm OA exerts on the pin P when theta = 0 ^ 0 ,note that the motion is in the vertical plane, (b) the acceleration in the r and 0 direction. r = (0.0cos 2theta) m 4The disk has a weight of 10 lb and is pinned at its center O. If a vertical force of P = 2 lb is applied to the cord wrapped around its outer rim, determine the angular velocity af the disk in four scconds starting from rest. Neglect the mass of the cord.A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at k, = 0.6 m.
- 3. The 300-kg gear has a radius of gyration about its center of mass O of ko = 400 mm. If the wheel is subjected to a couple moment of M= 300 N-m, determine its angular velocity 6 s after it starts from rest and no slipping occurs. Also determine the friction force that the ground applies to the wheel. Solve the problem using Impulse and Momentum. M 300 Nm 0.6 mThe 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 354 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 3.2 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. F 0 Your Answer: AnswerAt the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.