Problem 15.023- Three belts DEPENDENT MULTI-PART PROBLEM -ASSIGN ALL PARTS Three

Question

Problem 15.023- Three belts DEPENDENT MULTI-PART PROBLEM -ASSIGN ALL PARTS Three belts move over two puleys with t SIpping in the speed reduction system shown. At the instant shown, the velocity or Port A on the iput belt is 35 ts to the right decessng at the ate of 6 as 4 in. Sin. References eBook&Resources; Problem 15 023 - Three belts-DEPENDENT MULTI PART PROBLEM-ASSIGN ALL PARTS Section Break 10.00 points Problem 15.023.a-Velocity and acceleration (You must provde an answer betore moving to the next part) Determine, at thes instant the velocity and acceleration of Point C on the output beit. (Round the final answers to two decimal places,) The velocity is The acceleration TUS

Explanation / Answer

Here , for the angular velocity and angular acceleration of the left pulley

w1 = vA/r1 = 3.5/(8/2) rad/s = 3.5/4 rad/s^2

a1 = 6/(8/2) = 6/4 rad/s^2

Now, for the point B

w2 * (8/2) = 3.5/4 * 2

w2 = 1.75/4 rad/s^2

a2 * (8/2) = 6/4 * 2

a2 = 0.75 rad/s^2

for the point C

vC = 1.75/4 * 2 = 0.875 ft/s

aC = 0.75 * 2 = 1.5 ft/s^2

the velocity is 0.875 ft/s

the acceleration is 1.5 ft/s^2

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