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Problem 16.3 Consider the pulley-mass system shown in the figure. The diameters of the large and small pulley are D = 1.5 ft and d = 9 in, respectively. Both pulleys turn together around the same axle, Point P. (a) If the pulleys are locked by a brake and cannot turn, the weight of each block produces a moment about Point P. Determine the net moment about Point P due to the stationary blocks, in lbf-ft. (b) If the pulleys turn together at the rate of 2.0 radians per second in the direction shown, i.e. w = 2.0 rad/s in the direction shown, each of the blocks has angular momentum and linear momentum. Determine the following for each block: i. ii. iii. Block A mA = 22 lbm the velocity, in ft/s, the linear momentum, in lbm-ft/s, and the angular momentum of each mass with respect to axle point P, in lbm-ft²/s. Remember to indicate both the magnitude and direction of all vector quantities. Show your work in the given units system. B Block B WB = 10 lbf a) 0.5 lbf-ft ≤ |M| ≤ 1.5 lbf-ft b) 0.25 ft/s < |V₂| < 1.25 ft/s

Problem 16.3 Consider the pulley-mass system shown in the figure. The diameters of the large and small pulley are D = 1.5 ft and d = 9 in, respectively. Both pulleys turn together around the same axle, Point P. (a) If the pulleys are locked by a brake and cannot turn, the weight of each block produces a moment about Point P. Determine the net moment about Point P due to the stationary blocks, in lbf-ft. (b) If the pulleys turn together at the rate of 2.0 radians per second in the direction shown, i.e. w = 2.0 rad/s in the direction shown, each of the blocks has angular momentum and linear momentum. Determine the following for each block: i. ii. iii. Block A mA = 22 lbm the velocity, in ft/s, the linear momentum, in lbm-ft/s, and the angular momentum of each mass with respect to axle point P, in lbm-ft²/s. Remember to indicate both the magnitude and direction of all vector quantities. Show your work in the given units system. B Block B WB = 10 lbf a) 0.5 lbf-ft ≤ |M| ≤ 1.5 lbf-ft b) 0.25 ft/s < |V₂| < 1.25 ft/s

Elements Of Electromagnetics
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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Problem 16.3 Consider the pulley-mass system shown in the figure. The diameters of the large and small pulley are D = 1.5 ft and d = 9 in, respectively. Both pulleys turn together around the same axle, Point P. (a) If the pulleys are locked by a brake and cannot turn, the weight of each block produces a moment about Point P. Determine the net moment about Point P due to the stationary blocks, in lbf-ft. (b) If the pulleys turn together at the rate of 2.0 radians per second in the direction shown, i.e. w = 2.0 rad/s in the direction shown, each of the blocks has angular momentum and linear momentum. Determine the following for each block: i. ii. iii. Block A mA = 22 lbm the velocity, in ft/s, the linear momentum, in lbm-ft/s, and the angular momentum of each mass with respect to axle point P, in lbm-ft²/s. Remember to indicate both the magnitude and direction of all vector quantities. Show your work in the given units system. B Block B WB = 10 lbf a) 0.5 lbf-ft ≤ |M| ≤ 1.5 lbf-ft b) 0.25 ft/s ≤ |V₂| ≤ 1.25 ft/s 16 lbm-ft/s ≤ |PA| ≤ 17 lbm-ft/s 5.85 lbm-ft²/s ≤ |LA| ≤ 6.25 lbm-ft²/s
Transcribed Image Text:Problem 16.3 Consider the pulley-mass system shown in the figure. The diameters of the large and small pulley are D = 1.5 ft and d = 9 in, respectively. Both pulleys turn together around the same axle, Point P. (a) If the pulleys are locked by a brake and cannot turn, the weight of each block produces a moment about Point P. Determine the net moment about Point P due to the stationary blocks, in lbf-ft. (b) If the pulleys turn together at the rate of 2.0 radians per second in the direction shown, i.e. w = 2.0 rad/s in the direction shown, each of the blocks has angular momentum and linear momentum. Determine the following for each block: i. ii. iii. Block A mA = 22 lbm the velocity, in ft/s, the linear momentum, in lbm-ft/s, and the angular momentum of each mass with respect to axle point P, in lbm-ft²/s. Remember to indicate both the magnitude and direction of all vector quantities. Show your work in the given units system. B Block B WB = 10 lbf a) 0.5 lbf-ft ≤ |M| ≤ 1.5 lbf-ft b) 0.25 ft/s ≤ |V₂| ≤ 1.25 ft/s 16 lbm-ft/s ≤ |PA| ≤ 17 lbm-ft/s 5.85 lbm-ft²/s ≤ |LA| ≤ 6.25 lbm-ft²/s
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