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2) [8 pts] As shown in the diagram, a steel wire (length 2.0 m, mass 35 grams) is used to stretch a spring (k = 179 N/m) by hanging a mass (m = 9.4 kg) over a frictionless, massless, fixed pulley. When the system is in equilibrium the extension of the spring is 0.514 m, exactly one-half of the wire is between the pulley and the spring, and the upper half of the wire oscillates with the pattern shown. a) What is the frequency f of the wire's oscillation? b) If the mass is now put into oscillations with an amplitude of 0.15 m, what are the wire's frequencies at the uppermost and lowermost point of the oscillations? (Assume the standing wave pattern is always as shown, with nodes at each end of the upper part of the wire, and one node in the middle).

          2) [8 pts] As shown in the diagram, a steel wire (length 2.0 m, mass 35 grams) is used to stretch a spring (k = 179 N/m) by hanging a mass (m = 9.4 kg) over a frictionless, massless, fixed pulley. When the system is in equilibrium the extension of the spring is 0.514 m, exactly one-half of the wire is between the pulley and the spring, and the upper half of the wire oscillates with the pattern shown.
a) What is the frequency f of the wire's oscillation?
b) If the mass is now put into oscillations with an amplitude of 0.15 m, what are the wire's frequencies at the uppermost and lowermost point of the oscillations? (Assume the standing wave pattern is always as shown, with nodes at each end of the upper part of the wire, and one node in the middle).

2) [8 pts] As shown in the diagram, a steel wire (length 2.0 m, mass 35 grams) is used to stretch a spring (k = 179 N/m) by hanging a mass (m = 9.4 kg) over a frictionless, massless, fixed pulley. When the system is in equilibrium the extension of the spring is 0.514 m, exactly one-half of the wire is between the pulley and the spring, and the upper half of the wire oscillates with the pattern shown.
a) What is the frequency f of the wire's oscillation?
b) If the mass is now put into oscillations with an amplitude of 0.15 m, what are the wire's frequencies at the uppermost and lowermost point of the oscillations? (Assume the standing wave pattern is always as shown, with nodes at each end of the upper part of the wire, and one node in the middle).

Added by Kevin G.

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