15.49 •*. CP One end of a light uniform rod is attached to a wall by a frictionless hinge. The rod is held in a horizontal position by a wire that runs from the other end of the rod to the wall. The wire has length 2.00 m and makes an angle of 30.0° with the rod. A block with mass m is sus- pended by a light rope attached to the middle of the rod. The transverse fundamental standing wave on the wire has frequency f. The mass m is varied and for each value the frequency is measured. You plot f² versus m and find that your data lie close to a straight line with slope 20.4 kg-1.s-2. What is the mass of the wire? Assume that the change in the length of the wire when the tension changes is small enough to neglect.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.15P
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15.49 •.. CP One end of a light uniform rod is attached to a wall by a
frictionless hinge. The rod is held in a horizontal position by a wire that
runs from the other end of the rod to the wall. The wire has length 2.00 m
and makes an angle of 30.0° with the rod. A block with mass m is sus-
pended by a light rope attached to the middle of the rod. The transverse
fundamental standing wave on the wire has frequency f. The mass m is
varied and for each value the frequency is measured. You plot f² versus m
and find that your data lie close to a straight line with slope 20.4 kg-1 .s-2.
What is the mass of the wire? Assume that the change in the length of the
wire when the tension changes is small enough to neglect.
Transcribed Image Text:15.49 •.. CP One end of a light uniform rod is attached to a wall by a frictionless hinge. The rod is held in a horizontal position by a wire that runs from the other end of the rod to the wall. The wire has length 2.00 m and makes an angle of 30.0° with the rod. A block with mass m is sus- pended by a light rope attached to the middle of the rod. The transverse fundamental standing wave on the wire has frequency f. The mass m is varied and for each value the frequency is measured. You plot f² versus m and find that your data lie close to a straight line with slope 20.4 kg-1 .s-2. What is the mass of the wire? Assume that the change in the length of the wire when the tension changes is small enough to neglect.
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