,,,,,,,, Determine the angular velocity of the spool. The cable wraps around the

Question

,,,,,,,,

Determine the angular velocity of the spool. The cable wraps around the inner core, and the spool does not slip on the platform P. Take upsilon A = 1ft/s , upsilonB = 4 ft/s. Express your answer to three significant figures and include the appropriate units. This content is not available on your mobile device, but your work is still incomplete. Please use a different device to submit your solution for grading. The wheel rolls without slipping with an angular velocity of = 14rad/s . Determine the magnitude of the velocity of point B at the instant shown. Express your answer to three significant figures and include the appropriate units. This content is not available on your mobile device, but your work is still incomplete. Please use a different device to submit your solution for grading.

Explanation / Answer

part A

let w be angular velocity of spool

let vo be vel of o then vel of B is vo+w =vb

=> vo=4-w

and vel of A is v0-2w

if it does not slip then vo-2w=va

=> 4-w-2w=-1

so w=5/3=1.666rad/s (angular velocity)

part B

if it doesnot slip then Vo=rw=0.6*14=8.4m/s( velocity of center of mass)

vel of B has two component tangential (rw) and normal(vo)

and vel of b is sqrt((8.4)^2+(8.4)^2)=11.879m/s

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