At 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 units

At 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 units

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the vertical plane. At the instant when Angle theta = 30°, the velocity of roller A is 13 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G and the reactions of points A and B, under the action ofthe 6-lb force P. Neglect the friction and the mass of the small rollers.
With the 360-lb cylindrical part P in its grip, the robotic arm pivots about O through the range -45° ≤ 0 ≤ 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 360-lb part P, the 100-lb weight of member OA (mass center at G₁), and the 60-lb weight of member AB (mass center at G₂). The end grip is included as a part of member AB. The lengths L₁ and L₂ are 2.8 ft and 2.0 ft, respectively. What is the maximum absolute value of Mo and at what value of 0 does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. lb-ft lb-ft lb-ft 52 120⁰ G₂ G₁ T! L₂ L₂ B Mi Questions: When 0 = -26°, Mo= When 0 = 6°, Mo When 0 = 20°, Mo= i The maximum absolute value Momax = 1834.87 lb-ft at 0= 21.60
With the 260-lb cylindrical part P in its grip, the robotic arm pivots about O through the range –45° < 0 < 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 260-lb part P, the 130-lb weight of member OA (mass center at G1), and the 45-lb weight of member AB (mass center at G2). The end grip is included as a part of member AB. The lengths L1 and L2 are 2.2 ft and 1.8 ft, respectively. What is the maximum absolute value of Mo and at what value of 0 does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. L2 120° G B Questions: Ib-ft When e = -22°, Mo= When 8 = 3°, Mo = i Ib-ft Ib-ft When e = 19°, Mo= i Ib-ft at 0 = i The maximum absolute value Momax
At the instant shown, link CD rotates with an angular velocity of W = 8.5 rad/s. If it is subjected to a couple moment M = 300 N-m, determine the magnitude of reaction force developed in link AB. 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 A 0.4 m G 0.4 m D C M Your Answer: Answer units 3
With the 370-lb cylindrical part P in its grip, the robotic arm pivots about O through the range -45° ≤ 0 ≤ 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 370-lb part P, the 125-lb weight of member OA (mass center at G₁), and the 45-lb weight of member AB (mass center at G₂). The end grip is included as a part of member AB. The lengths L₁ and L2 are 3.3 ft and 2.5 ft, respectively. What is the maximum absolute value of Mo and at what value of does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. LA lb-ft lb-ft lb-ft 0 2 52 120° G₂ 35 L₂ L₂ 2 B Questions: When 0-18°, Mo= i When 8 = -5°, Mo= i When 0= 19°, Mo= i The maximum absolute value Momax = H lb-ft at 0= i
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/s
At the instant shown, link CD rotates with an angular velocity of W = 8.5 rad/s. If it is subjected to a couple moment M = 340 N·m, determine the magnitude of reaction force developed in link AB. 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 0.4 m 0.4 m G Your Answer: Answer B 0.6 m units A M
4. The uniform slender rod has a mass m= 20 kg and length L = 0.5 m. As the frame accelerates forward the rod is held in the position shown at a steady angle 0 = tan (3/4) by the stop at A. Determine the magnitude of the reaction force at stop A if the acceleration is a = 6 m/s. A = a L. A
The 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 small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the verticalplane. At the instant when θ = 30°, the velocity of roller A is 14 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G, and the reactions of points A and B, under the action of the 6-lb force P. Neglect the friction and the mass of the small rollers.
2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.
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