Question

1) a) What is themechanical energy E ofthelinear oscillator of Problem 1 above. (Initially,

the block’sposition is x= 11 cm and itsspeed isv = 0. Spring constant k is 65N/m.)

b) What are thepotential energy and kinetic energyof the oscillator when theblock is at

x= A/2?(A represents theamplitude ofoscillations)

Answer: a) 0.39 J b) Pot. Energy=0.098 J, Kinetic Energy =0.30 J

2)A performer seated on a trapeze is swingingbackand forth with a period of 8.85 s. If she

stands up, thus raising the center of mass ofthetrapeze + performer system by 35.0 cm,

what will be the new period of the system?(Ignoreair friction and treat this as a small

angle oscillation)

Answer: 8.77 s