For reducing the time it takes to unroll a telephone cable, the cable spool trailer shown starts from rest and is given a constant acceleration of 3 ft/sec² to the right. Starting from rest at the same instant, the tow truck simultaneously pulls the free end of the cable horizontally in the opposite direction with a constant acceleration of 2 ft/sec?. Changes in the diameter of spooled cable are negligible for the short time interval to be considered and the cable is inextensible. For the instant five seconds (t=5 s) after starting: FIND: The ACCELERATION of a point on the cable just as it leaves the spool, The RATE (i.e. SPEED) at which the cable is being UNWOUND from the spool. The ANGULAR VELOCITY (OSPOOL) of the cable spool, The ACCELERATION of a point A shown on the forward rim of spool horizontally igned with its center, 2 ft/see 3 ft/see

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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For reducing the time it takes to unroll a telephone cable, the cable spool trailer shown starts from rest
and is given a constant acceleration of 3 ft/sec² to the right. Starting from rest at the same instant, the
tow truck simultaneously pulls the free end of the cable horizontally in the opposite direction with a
constant acceleration of 2 ft/sec?. Changes in the diameter of spooled cable are negligible for the short
time interval to be considered and the cable is inextensible. For the instant five seconds (t=5 s) after
starting:
FIND:
The ACCELERATION of a point on the cable just as it leaves the spool,
The RATE (i.e. SPEED) at which the cable is being UNWOUND from the spool.
The ANGULAR VELOCITY (OSPOOL) of the cable spool,
The ACCELERATION of a point A shown on the forward rim of spool horizontally
igned with its center,
2 ft/see
3 ft/see
Transcribed Image Text:For reducing the time it takes to unroll a telephone cable, the cable spool trailer shown starts from rest and is given a constant acceleration of 3 ft/sec² to the right. Starting from rest at the same instant, the tow truck simultaneously pulls the free end of the cable horizontally in the opposite direction with a constant acceleration of 2 ft/sec?. Changes in the diameter of spooled cable are negligible for the short time interval to be considered and the cable is inextensible. For the instant five seconds (t=5 s) after starting: FIND: The ACCELERATION of a point on the cable just as it leaves the spool, The RATE (i.e. SPEED) at which the cable is being UNWOUND from the spool. The ANGULAR VELOCITY (OSPOOL) of the cable spool, The ACCELERATION of a point A shown on the forward rim of spool horizontally igned with its center, 2 ft/see 3 ft/see
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