Question

In the arrangement shown below, an object can be hung from a string (with linear mass density

μ = 0.00200 kg/m)

that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is

L = 2.30 m.

When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any mass between these values, however.

The left end of a horizontal string of density μ is connected to a vibrator at point P. A distance L from point P, the string goes over a pulley and hangs down. A block of mass m connects to the hanging end of the string. The vibrator causes the portion of string between point P and the pulley to oscillate such that standing waves are generated.

(a)

What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.)

Hz

(b)

What is the largest object mass (in kg) for which standing waves could be observed?

kg

(c)

What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed?

kg/m

(d)

For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case?

m2 = kg

m3 = kg

m4 = kg

m5 = kg

Answer 1