PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The attached wheels of radii r = 0.2 m and R = 0.5 m roll without slipping on the fixed plate P.
A cord is securely wrapped around the large wheel and, at the instant represented, the free end of
the cord has a velocity v = 2.1 m/s and an acceleration a = 2 m/s², both to the right. Calculate
the magnitude of the accelerations of points B, C, and D on the wheels for this instant. (aB = 5.27
m/s², ac 4.58 m/s², ap = 1.8 m/s²)
=
v, a
A
R
r
B
0
P
D
C
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.
A cyclist pedals constantly at 7.9587 rad/s the wheels are 336.5mm in radius. If the chain is directly connected with the sprockets which are 76 mm in radius (front sprocket) and 35mm in radius (rear sprockets), Determine the angular speed of the wheel in rad/s.
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- The wheel of radius R rolls without slipping, and itscenter O has an acceleration aO. A point P on the wheelis a distance r from O. For given values of aO, R, and r,determine the angle θ and the velocity vO of the wheelfor which P has no acceleration in this position.arrow_forwardWrite the vector expression for the acceleration a of the mass center G of the simple pendulum in both n-t and x-y coordinates for the instant when = 60° if = 2.00 rad/sec and 0 = 4.025 rad/sec². Answers: a = (i a = (i 4.0' in 8 en + i i+ i et) ft/sec² j) ft/sec²arrow_forward3. Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys C and D. At a certain instant, point P1 on the tape is in contact with pulley C and point P2 is in contact with pulley D. If the normal component of acceleration of P1 is 40 m/s2 and the tangential component of acceleration of P2 is 30 m/s2 at this instant, compute the corresponding speed of the tape, the magnitude of the total acceleration of P1 and the magnitude of the total acceleration of P2. P, 50 mm 100 mm A.arrow_forward
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