19–15. A 4-kg disk A is mounted on arm BC, which has anegligible mass. If a torque of M = (5e05") N-m, where t isin seconds, is applied to the arm at C, determine the angularvelocity of BC in 2 s starting from rest. Solve the problemassuming that (a) the disk is set in a smooth bearing at B sothat it moves with curvilinear translation, (b) the disk isfixed to the shaft BC, and (c) the disk is given an initialfreely spinning angular velocity of w, = {-80k} rad/s priorto application of the torque.250 mm60 mmM = (5e5) N - m

Given: M = 5e0.5t Nm Required : The angular velocity of BC in 2s starting from rest assuming: The…

Answered: 19–15. A 4-kg disk A is mounted on arm…

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 cable drum has a mass of 610 kg with radius of gyration of 385 mm about its center O and is mounted in bearings on the 1325-kg carriage. The carriage is initially moving to the left with a speed of 1.8 m/s, and the drum is rotating counterclockwise with an angular velocity of 2.0 rad/s when a constant horizontal tension T = 345 N is applied to the cable at time t = 0. Determine the velocity v of the carriage and the angular velocity w of the drum when t = 20 s. Neglect the mass of the carriage wheels. The velocity v is positive if to the right, negative if to the left. The angular velocity is positive if counterclockwise, negative if clockwise. %3D %3D T = 345 N 610 kg 415 mm 1325 kg
lb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached to a spring which has a stiffness k = 2. and an unstretched length of 1 ft. If the disk is released from rest in the position shown and rolls without slipping, determine its angular velocity at the instant G moves 3 ft to the left. 4 ft Sommi k = 2 lb/ft -3 ft 0.75 ft
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The 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.28 and Uk = 0.14. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s?). 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 18-kg rod AB is pin-connected at A and subjected to a couple moment of M =15 N- m The rod is released from rest when the spring is unstretched at 0 = 30°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. (Figure 1) Determine the rod' s angular velocity, measured clockwise, at the instant 0 = 60°. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. vec rad/s k = 40 N/m 0.75 m M = 15 N- m
The 250 g disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular velocity ω2 of 6 rad/s. Find the Kinetic energy of the disk with this information.
The 30-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.48 m, has mass center at point G, and the radius of gyration is kg = 0.24 m. The coefficients of friction between the wheel and the ground is μ = 0.39 and k=0.10. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). 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: Answer G 1
19–33. The 80-kg man is holding two dumbbells while standing on a turntable of negligible mass, which turns freely about a vertical axis. When his arms are fully extended, the turntable is rotating with an angular velocity of 0.5 rev/s. Determine the angular velocity of the man when he retracts his arms to the position shown. When his arms are fully extended, approximate each arm as a uniform 6-kg rod having a length of 650 mm, and his body as a 68-kg solid cylinder of 400-mm diameter. With his arms in the retracted position, assume the man is an 80-kg solid cylinder of 450-mm diameter. Each dumbbell consists of two 5-kg spheres of negligible size. -0.20 m 0.65 m 0.3 m H0.3 m Prob. 19–33
The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.

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