18-49. The assembly consists of two 10-kg bars which arepin connected. If the bars are released from rest whene = 60°, determine their angular velocities at the instante = 30°. The 5-kg disk at C has a radius of 0.5 m and rollswithout slipping.B3 m3 m

Given: mass of the rod -10kg mass of the disk = 5kg disk rolls without slipping to find the…

Answered: 18-49. The assembly consists of two…

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 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 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part B
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spool
16-34. For a short time a motor of the random-orbit sander drives the gear A with an angular velocity of VA = 40(t3 + 6t) rad/s, where t is in seconds. This gear is connected to gear B, which is fixed connected to the shaft CD. The end of this shaft is connected to the eccentric spindle EF and pad P, which causes the pad to orbit around shaft CD at a radius of 15 mm. Determine the magnitudes of the velocity and the tangential and normal components of acceleration of the spindle EF when t = 2 s after starting from rest. B D 40 mm 10 mm A -15 mm -Ε F WA P
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
17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk and attached to the wall at B. If a torque M = 40 lb - ft is applied to the disk, determine the angular acceleration of the disk and the time needed for the end C of the plate to travel 3 ft and strike the wall. Assume the disk does not slip on the plate and the plate rests on the surface at D having a coefficient of kinetic friction of 4, = 0.2. Neglect the mass of the cord. M = 40 lb · ft -3 ft-
17-73. Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. Compute the time needed to unravel 5 m of cable from the spool if the spool and cable have a total mass of 600 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. T = 300 N 15 m 0.8 m. 30° B.

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18-49. The assembly consists of two 10-kg bars which are pin connected. If the bars are released from rest when e = 60°, determine their angular velocities at the instant e = 30°. The 5-kg disk at C has a radius of 0.5 m and rolls without slipping. B 3 m 3 m