Answered: Two figures show a system of two…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter1: A Physics Toolkit

Section: Chapter Questions

Problem 37A

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Question

A 13.2-kg object hangs in equilibrium from a string with a total length of

6.00 m

and a linear mass density of

? = 0.00500 kg/m.

The string is wrapped around two light frictionless pulleys that are separated by a distance of

d = 2.00 m.

Two figures show a system of two pulleys and a block of mass m attached to each other with string in a triangular arrangement. The pulleys are at the top left and top right of the triangle, separated by a distance d. The block connects directly to the bottom corner of the triangle, pulled downward by gravity vector g. In figure (a), the string connecting the pulleys is completely horizontal and unmoving. In figure (b), the string connecting the pulleys is oscillating as a standing wave such that there is one and a half wavelengths between the pulleys.

(a) Determine the tension in the string.
N

(b) At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b?

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