Pravinbhai The nose-wheel assembly is raised by the application of a torque M to link BC through the shaft at B. The arm and wheel AO have acombined weight of 160 lb with center of mass at G, and a centroidal radius of gyration of 11 in. If the angle = 33°, determine thetorque M necessary to rotate link AO with a counterclockwise angular velocity of 14 deg/sec that is increasing at the rate of 8 deg/secevery second. Additionally, determine the magnitude of the total force supported by the pin at A. The mass of links BC and CD may beneglected for this analysis.AAnswers:28"14"BM18"C18"D7"

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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6/209 The nose-wheel assembly is raised by the applica- tion of a torque M to link BC through the shaft at B. The arm and wheel AO have a combined weight of 100 lb with center of mass at G, and a centroidal ra- dius of gyration of 14 in. If the angle 0 = 30°, deter- mine the torque M necessary to rotate link AO with a counterclockwise angular velocity of 10 deg/sec that is increasing at the rate of 5 deg/sec every second. Additionally, determine the total force sup- ported by the pin at A. The mass of links BC and CD may be neglected for this analysis. - 16"- B 20" C 32" 20" Problem 6/209
3. The wheel has a mass of 100 kg and a radius of gyration about the z-axis of k: = 300 mm rests on a smooth horizontal plane. If the belt is subjected to a force of P= 170 N, determine the angular velocity of the wheel and the speed of its center of mass two seconds after the 400 mm force is applied.
The center of the 173-lb wheel with centroidal radius of gyration of 5.6 in. has a velocity of 3.4 ft/sec down the incline in the position shown. Calculate the normal reaction N under the wheel as it rolls past position A. Assume that no slipping occurs. 36° 24" 17" Aj Answer: N = i Ib
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
The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagram
The 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: Answer
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 F
3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg. Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel). Wheel A: Wheel B: Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel. If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then Wheel B (assuming that all parts are at rest at t = 0).
3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg. Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel). Wheel A: Wheel B: Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel. If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then Wheel B (assuming that all parts are at rest at t = 0). Hint: This is a constant angular acceleration and 1 revolution of the wheel equals the circumference of the wheel.
Determine the angular velocity (positive if counterclockwise, negative if clockwise) of link BC for the instant indicated. In case (a), the center O of the disk is a fixed pivot, while in case (b), the disk rolls without slipping on the horizontal surface. In both cases, the disk has clockwise angular velocity w = 1.9 rad/s. Neglect the small distance of pin A from the edge of the disk. The radius r = 690 mm. C r A 2r A 2r (a) (b) B r B
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

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