20–31. The rod is attached to smooth collars A and B at itsends using ball-and-socket joints. Determine the speed of Bat the instant shown if A is moving at va = 8 m/s. Also,determine the angular velocity of the rod if it is directedperpendicular to the axis of the rod.VA = 8 m/s1mB1.5 m2 mх

The velocity of the collars are

Answered: 20–31. The rod is attached to smooth…

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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20–51. At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w, = 6 rad/s, while at the same instant the arm is rotating upward at a constant rate w, = 4 rad/s. If the conveyor is running at a rate r = 5 ft/s, which is increasing at i = 8 ft/s, determine the velocity and acceleration of the package Pat the instant shown. Neglect the size of the package. tr= 6 ft w = 6 rad/s = 45° w = 4 rad/s
If the flywheel is rotating with an angular velocity of = 6 rad/s, determine the angular velocity of rod BC at the instant shown 13 m 1.5m A-6 rad/s it com L
F12–33. The car has a speed of 55 ft/s. Determine the angular velocity ở of the radial line OA at this instant. r = 400 ft
If the hydraulic cylinder shortens at a constant rate of 4 ft/s, determine the angular velocity of the solid link ACB and the velocity of end A at the instant shown. (Answer: v Ay = 2.31 ft/s).
*20–16. Gear A is fixed while gear B is free to rotate on the shaft S. If the shaft is turning about the z axis at w. = 5 rad/s, while increasing at 2 rad/s², determine the velocity and acceleration of point P at the instant shown. The face of gear B lies in a vertical plane. 80 mm S0 mm 160 mm
*16–48. Determine the velocity and acceleration of the peg A which is confined between the vertical guide and the rotating slotted rod.
The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105 Answers: a = aA i i 0.63 m B 0.274 0.196 -ag=0.47m/s² UB=0.40 m/s rad/s² m/s²
16-90. Due to slipping, points A and B on the rim of the disk have the velocities shown. Determine the velocities of the center point C and point D at this instant. Vy = 10 ft/s B 0.8 ft 45°. CN30° VA = 5 ft/s
16–35. If the shaft and plate rotates with a constant angular velocity of w = 14 rad/s, determine the velocity and acceleration of point C located on the corner of the plate at the instant shown. Express the result in Cartesian vector form. 0,6 m 0.2 m 0.4 m 0.3 m 0.3 m 0.4 m
*16–96. The pinion gear A rolls on the fixed gear rack B with an angular velocity w = 8 rad/s. Determine the velocity of the gear rack C. A_ 150 mm
16–147. If the slider block C is fixed to the disk that has a constant counterclockwise angular velocity of 4 rad/s, determine the angular velocity and angular acceleration of the slotted arm AB at the instant shown. 40 mm 60 mm 30 w = 4 rad/s 180 mm 60°
4. Rod AB is attached to collars at its ends by ball- and-socket joints. If the collar A has a velocity of VA = 3 ft/s. determine the angular velocity of the rod and the velocity of collar B at the instant shown. Assume the angular velocity of the rod is directed perpendicular to the rod. 4 ft 2 ft B 3 ft/s A 4 ft y

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