-The wheel of radius 0.7 ft rolls without slipping on the horizontal surface with a constant angularvelocity w. At the instant when 40°, point A on the wheel has a speed of 2.3 ft/sec. Calculatethe angular velocity of the wheel and the speeds of the center O and point B on the wheel. (w = 3.89rad/sec, vo = 2.72 ft/sec, vB = 4.93 ft/sec)AωB00

Step 1:The wheel is rolling without slipping; thus, the velocity of the centre of the wheel is given…

Answered: - The wheel of radius 0.7 ft rolls…

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 telephone-cable reel of inner and outer diameters d = 0.5 m and D = 1.5 m rolls without slipping on the horizontal surface. If point A on the cable has a constant velocity VA 1.2 m/s, calculate the magnitude and direction of the angular velocity of the reel, the velocity of point O, and the velocity of point A relative to point O, i.e., JA/O, for the cases (a) and (b). If at the instant shown the horizontal distance between O and A is s = 2 m, determine that distance after one second. (w = 2.4 1.4 m, w = 1.2 rad/s, vo 0.31 m/s, 0.9 m/s, A/O rad/s, vo 1.8 m/s, A/O = −0.6î m/s, s = s = 2.3 m) = = = y x d D (a) S VA A хох (b) S VA A
What is the angular acceleration at point BC What is the total Acceleration at Point B? At Point C? Draw the force and inertia diagram.
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The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/s
= The quarter-circular link AB with small rollers at two ends has a radius of 0.8 m (that is, it is part of a circle of radius 0.8 m). At the instant shown, roller A has a speed va 2 m/s to the right and roller B moves along the incline of angle 0 = 70° with the horizontal. Calculate the angular velocity of the link and the speed of point B on the link for this instant. (w = 1.83 rad/s CCW, vB m/s) = 1.56 B 45° VA Ꮎ A
(Three-Dimensional Motion) The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC,which in turn rotates about the terminal axis at O. At the instant shown, theangular velocity of the shaft OC is 10j rad/sec, and gear A is stationary. Deter-mine the angular velocity of gear B, and the velocity of a point D at the top ofgear B.
The system shown is composed of pin-connected rod AB, rod BC and disk C. At the instant shown, the disc, with center C, rolls without slipping with an angular acceleration of 5 rad/s² counterclockwise. If the velocity of C at this instant is 12 m/s to the left, find the total acceleration of point C
(a) Find the final speed V of the center of mass of the wheel once the wheel starts moving.
The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m 4 0.69 m 1.315 i 1.376 Ho m/s VA rad/s
The system has a pin-connected rod AB, rod BC and disk C. At the instant shown, the disc, with center C, rolls without slipping with an angular acceleration of 6 rad/s counterclockwise. If the velocity of C at this instant is 13 m/s to the left,a. what's the total acceleration of C (m/s^2)b. what's the angular acceleration of rod BC (rad/s^2)c. what's the total acceleration at point B (m/s^2)
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I'm trying to understand this problem is there an easier way to solve other than the the solution I attached? That just doesn't look like a relative acceleration equation it is so complicated any help is so appreciated thanks.

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