16–34. For a short time a motor of the random-orbitsander drives the gear A with an angular velocity ofwA = 40(B + 6t) rad/s, where t is in seconds. This gear isconnected to gear B, which is fixed connected to the shaftCD. The end of this shaft is connected to the eccentricspindle EF and pad P, which causes the pad to orbit aroundshaft CD at a radius of 15 mm. Determine the magnitudes ofthe velocity and the tangential and normal components ofacceleration of the spindle EF when t = 2 s after startingfrom rest.40 mm10 mmD15 mm

Angular velocity of gear A is ωA=40t3+6t rad/s here, t is the time Substitute values in the above…

Answered: 16–34. For a short time a motor of the…

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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If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O,determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50 kg and it has a radius of gyration of k0 = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.
16-89 If rod CD is rotating with an angular velocity Wcd = 4 rad/s, determine the angular velocities of rods AB and CB at the instant shown.
The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
19-26 The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.
If the hub gear H and ring gear R have angular velocities Wh = 5rad/s and Wr = 20rad/s, respectively. Determine the angular velocity
18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.
The pin ion gear A on the motor shaft is given a constant angular accelera tion a = 3 rad/s2. If the gears A and B have the dimensions shown , determine the angular velocity and angular displacement of the output shaft C, when t = 2 s starting from rest. The shaft is fixed to B and turns with it.
18-9 The pendulum consists of a 10 kg uniform disk and a 3 kg uniform slender rod. If it is released from rest in the position shown, determine its angular from velocity when it rotates clock wise .
At the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.
The two gears A and B have weights and radii of gyration of WA = 15 lb , kA = 0.5 ft and WB = 15 lb , kB = 0.35 ft, respectively. A motor transmits a couple moment to gear B of M=2(1−e−0.5t)lb⋅ft, where t is in seconds. Determine the angular velocity of gear A in t = 5 s , measured counterclockwise, starting from rest.
Draw the impulse-momentum diagram and line of action for e. Solve for the following: 1. Determine the angular velocity of the slender bar (B) immediately after impact. angular velocity of A = 57.1 rad/s since there is no external torque 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids ANSWERS I GOT BUT ARE INCORRECT: (the unit is given) angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2 linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2
19-31 The 75 kg gymnast lets go of the horizontal bar in a fully stretched position A, rotating with an angular velocity of = 3 rad/s. estimate his angular velocity when he assumes a tucked position B. assume the gymnast at position A and B as a uniform slender rod and a uniform circular disk, respectively.

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