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Cosine Curve and Total Energy

ATTACHMENT1 shows the graph of x(t) for a mass M= 2.4 kg suspended on a spring of force constant k, executing SHM.
a. From information on the graph, develop x(t) with numerical values and units for the constants of the SHM.
b. Find the force constant, k, of the spring.


Solution Preview

Part a. Step 1.
From the graph on ATTACHMENT1, observe that amplitude Xm= .5 m.
Step 2.
Since the period is the time required for one cycle, the time between 0.3 sec and 1.3 sec gives:
(2) T= 1.0 sec
Step 3.
From physics statement D on the ...