21-39. Determine the angular momentum H, of the 7-kg disk and 1.5-kg rod when the assembly is rotating about the z axis at w = 5 rad/s. w = 5 rad/s 200 mm 100 mm
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A: Given data as per question Mass of disk = 20 kg Radius of the roller = 20 mm
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A: Consider the diagram shown below for the given system.
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Q: 17-86. The 4-kg slender rod is initially supported horizontally by a spring at B and pin at A.…
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Q: 19-35 The 10 kg bullet having of 800 m/s is fired into the edge of the 5 kg disk as shown.…
A: Given: the mass of the bullet, m= 10 g = 0.001 kg The mass of the disk is, M = 5 kg The speed of the…
Q: 18-45. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the…
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Q: 19-21. The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped…
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A: Given data:
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- The 21-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 = 247 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 4.0 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. Your Answer: G Answer r 0 FThe 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.4 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: AnswerThe 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7 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. Your Answer: G Answer Ө F
- The link AC (6 kg) rotates in the vertical plane about the point B. A spring (k = 600 N/m, points C to D) of unstretched length 225 mm is fixed to the link as shown. If the link is released from rest in the position shown below, determine its angular velocity after it has rotated 90°. You may take the moment of inertia of the link AC about its mass center as Igac =÷ml?. 180 900 mmThe double pulley consists of two parts that are attached to one another. It has a weight of 52 lb and a radius W= 20 rad/s of gyration about its center of k = 0,9 ft. If it rotates with O an angular velocity of 20 rad>s clockwise, determine the kinetic energy of the system. Assume that neither cable slips on the pulley. @= 20 rad/s 0.5ft 1 ft B 30 lb A 20 lbA drum with a radius of 0.5 ft has a weight of 90 lb and a radius of gyration ko = 0.3 ft. A weightless cable is wrapped around the drum and rotates it clockwise. If the cable is being pulled by a force P = 15 lb, determine the time needed to increase the drum's angular velocity from w1 = 6 rad/s to wz = 24 rad/s. 0.5 ft
- The uniform 50-kg sphere has radius r = 0.2 m and is welded to the center of the uniform 30-kg shaft as shown. When a constant couple moment M is applied to the shaft, its angular velocity reaches 74 rad/s after 4 s. Determine the magnitude of the moment M. Write your answer in N.m but do not write the units. M R= 0.1 m Taylor e m Te am Answer: AnswerEach 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/sThe 24-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 couple moment M = 90 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s?). The coefficient of kinetic friction between the wheel and the plane is Uk = 0.45. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. M
- The disk weighs 50 lb and has a radius of gyration (kg) of 0.8 ft, and a couple moment of 35 lb-ft is applied to the disk. Determine the acceleration of at the mass center G for the µs =0.3 and μk =0.25. G 1.25 ft A - M = 35 lb. ftThe 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: Answer5. The 0.3-kg pin P is constrained to move in the smooth curved slot, which is defined by the locus r =(0.6 cos20) m. Its motion is controlled by the rotation of the slotted arm OA, which has a constant clockwise angular velocity of é = -2 rad/s. Determine the following when e = 0°. Motion is in the vertical plane. r= (0,6 cos 20) m or = m m/s m's? o a, = m/s2 o ag = m/s² o Normal force from the smooth curved slot to the pin = IN o Normal force from the slotted arm to the pin =