Question

One end of a light uniform rod is attached to a wall by a frictionless hinge....

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 2.00m and makes an angle of 30.0∘ with the rod. A block with mass m is suspended 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 22.4 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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