CP The lower end of a uniform bar of mass 45.0 kg is

Chapter 15, Problem 15.59

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QUESTION:

The lower end of a uniform bar of mass 45.0 kg is attached to a wall by a frictionless hinge. The bar is held by a horizontal wire attached at its upper end so that the bar makes an angle of \(30.0^{\circ}\) with the wall. The wire has length 0.330 m and mass 0.0920 kg. What is the frequency of the fundamental standing wave for transverse waves on the wire?

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QUESTION:

The lower end of a uniform bar of mass 45.0 kg is attached to a wall by a frictionless hinge. The bar is held by a horizontal wire attached at its upper end so that the bar makes an angle of \(30.0^{\circ}\) with the wall. The wire has length 0.330 m and mass 0.0920 kg. What is the frequency of the fundamental standing wave for transverse waves on the wire?

ANSWER:

Step 1 of 4

The frequency of a fundamental standing wave in a wire is given by,

…..(1)

Here, F is the force on the wire, L is the length and m is the mass per unit length of the wire.

Now, to understand the situation given in the question, let us have a look at the figure given below.

                   

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