18-50. The compound disk pulley consists of a hub andattached outer rim. If it has a mass of 3 kg and a radius ofgyration of ke = 45 mm, determine the speed of block Aafter A descends 0.2 m from rest. Blocks A and B each havea mass of 2 kg. Neglect the mass of the cords.100 mm30 mm

Given: The mass of the hub and rim combined is m=3 kg. The radius of gyration is kG=45 mm. The…

Answered: 18-50. The compound disk pulley…

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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3. A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest, determine how far it must descend in order to attain an angular velocity @ = 70 rad/s. neglect the mass of the string and assume that the string is wound around the central peg such that the mean radius at which it unravels is r = 0.02 ft.
stion 5 The 20-kg wheel has a radius of gyration ko = 400 mm where O is the center of the wheel. If the wheel is subjected to a moment, M = (2t) N.m, where t is in seconds, determine its angular velocity when t- 4s starting from rest. Assume the wheel is subjected to rotation only (no translation). OA 16.0 rad/s B. 10.0 rads oc 8.0 rad/s 0 5.0 rad/s
2. The tapered cylindrical bar in Fig. 2 is subjected to opposing torques T on its free ends. For the tapered section only, the angle of twist 0 can be expressed as: 32 TI(d? + d,d2 + dž) Gd d? 37n (a) Derive an expression for the effective spring constant keff for the entire bar, treating each segment as a torsional spring in series. Fig. 2 (b) For the bar shown, let; I, = 12 = 12 in., 1= 24 in., d1= 0.25 in., d2= 1 in., T = 1000 lbf-in., and G = 13.5 x 103 kpsi. Calculate the angle twist 0 for the entire bar using the expression for kef determined in (a). Verify that this value is the sum the angles of twist for each individual %3D %3D segment.
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The 45-kg reel has a radius of gyration about its center O of ko = 220 mm. If it is released from rest, determine the total external work done to it when its center O has traveled 6.6 m down the smooth inclined plane (with angle = 35°). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 0.4 m 0.2 m²
At the instant shown, the spring is un-deformed. Determine the change in potential energy if the 20 kg disk (with radius of gyration kG = 0.5 m) rolls 2 revolutions without slipping. k= 200 N/m 3 m/s datum 0.3 m M = 2 Nm 30° O 1791 J O -1791 J O 1051 J O 1421 J O E) None of the above
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.
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 pavement compactor is traveling down the incline at VG = 5 ft/s when the motor is disengaged. The body of the compactor, excluding the rollers, has a weight of 8000 lb and a center of gravity at G. Each of the two rear rollers weighs 400 lb and has a radius of gyration of KA = 3.3 ft. The front roller has a weight of 800 lb and a radius of gyration of kg = 1.8 ft. The rollers do not slip as they rotate. (Figure 1) Figure 3.8 ft 5 ft A GT 10 ft 1 of 1 30 730 ▼ Part A Determine the angular velocity of the roller B when the compactor has traveled 16 ft down the plane. Express your answer in radians per second to three significant figures. WB = Submit IVE ΑΣΦ | Η Provide Feedback Request Answer P Pearson vec ? rad/s Next >
18–37. The spool has a mass of 20 kg and a radius of gyration of 200 mm ko = 160 mm. If the 15-kg block A is released from rest, determine the velocity of the block when it descends 600 mm. A
The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B
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

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18-50. The compound disk pulley consists of a hub and attached outer rim. If it has a mass of 3 kg and a radius of gyration of ke = 45 mm, determine the speed of block A after A descends 0.2 m from rest. Blocks A and B each have a mass of 2 kg. Neglect the mass of the cords. 100 mm 30 mm