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

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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

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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