Developing total energy amplitude and maximum speed


Assignment:

Question. A mass M attached to an ideal spring with force constant k executes SHM on a horizontal frictionless table. It has a total energy of 1.0 Joule and amplitude .10 m, and its maximum speed when location x= 0, is 1.2 m/sec.

a. find k and M and the period T.
b. If the initial location of the mass is at x= +Xm, develop x(t), and v(t), and a(t).

1745_Total energy.JPG

c. If the initial location is at Xo = +.08 m, and decreasing, develop x(t).

1018_Maximum speed.JPG

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