The disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular velocity of wo 18 rad/s and a counterclockwise angularacceleration of 6.5 rad/s2 determine the velocity and acceleration of pin A relative to the slotted member BC and the angular velocity and angularacceleration of BC. The value of r is 235 mm. Neglect the distance from the center of pin A to the edge of the disk. The relative velocity and accelerationare positive if they point from B to Cand negative if they point from C to B. The angular velocity and acceleration are positive if counterclockwise andnegative if clockwise.59Om3.0 rAnswers:m/siVrelm/s2arelrad/sШвсrad/s2авсIl

Draw the triangle formed by joining the points OAB.

Answered: The disk rolls without slipping on 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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The ends of the 0.62-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.58 m/s and an acceleration of 0.37 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). 21° A 0.62 m 101° Answers: α = aA = i i Bag=0.37 m/s² UB=0.58 m/s rad/s² m/s²
The differential pinion meshes on the two racks. If these move with the velocities shown, determine the angular velocity of the pinion and the velocity of its center C. 0.6 m/s 0.8 m/s 90 mm 150 mm
Disk A weighs 4.00 lb and Disk B weighs 1.00 lb. Disk A is driven by a 30.0 in-lb torque as shown. Calculate the angular acceleration of Disk B.
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
The rod is attached with ball-and-socket joints to smooth collars AA and BB at its end points. AA is moving upward at a constant speed of vAvAv_A = 6.6 ft/sft/s . The angular velocity of the rod is directed perpendicular to the axis of the rod. Determine the magnitude of the velocity of BB at the instant shown Determine the xx, yy, and zz components of the angular velocity of the rod using scalar notation.
The rod AB has a mass of 36 kg and a length of 1.9m. The spring is unstretched when 0- 45°. The spring constant k is 226 N/m. B Find the angular velocity of rod AB at 0 - 0. if the rod is released from rest when 0. 45°. Give your answer with 2 decimals.
The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures. @ = 6 rad/s a = 12 rad/s² 3 in. 2 in. 60° B 8 in. A
The vertical rod has a downward velocity v = 1.6 ft/sec and an upward acceleration a = 4.7 ft/sec? when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller Bif R = 19 in. A 1.35R 29° B Answers: a = i -13.97 rad/s2 aB = i ft/sec? -29.85 !!
The disk rotates about the shaft SS, while the shaft is turning about the zz axis at a rate of ωzωzomega_z = 6 rad/srad/s , which is increasing at ααalpha = 2.5 rad/s2rad/s2 . No slipping occurs. Determine the xx, yy, and zz components of the velocity of point BB on the disk at the instant shown using scalar notation. Determine the xx, yy, and zz components of the acceleration of point BB on the disk at the instant shown using scalar notation.

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