A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. A horizontal force acts on one end of the rope. (a) Show that the rope must sag, even if only by an imperceptible amount. Then, assuming that the sag is negligible, find (b) the acceleration of rope and block, (c) the force on the block from the rope, and (d) the tension in the rope at its midpoint.

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 53P: Show that the acceleration of any object down an incline where friction behaves simply (that Is,...
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A block of mass M is pulled
along a horizontal frictionless surface
by a rope of mass m. A horizontal force
acts on one end of the rope.
(a) Show that the rope must sag, even if only by an imperceptible
amount. Then, assuming that the sag is negligible, find (b) the acceleration
of rope and block, (c) the force on the block from the
rope, and (d) the tension in the rope at its midpoint.

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