Question

An object acted on by a single, linear restoring force willundergo simple harmonic motion. For simple harmonic motion, if anobject is at its maximum position at time t=0s, the position andvelocity at a later time (t) can be written as

x=Acos(ωt) v=-ωAsin(ωt)

where A is the amplitude of the oscillation.

Now, assume the object from part a) is at x=0.5m at t=0s and isreleased.

Using your previous results for ω, determine the position andvelocity of the mass as a function of time, fill in the table onthe left, and graph the results.

From the graph of position versus time, does the period agree withthe result from part a)? Is it the same as the period of thevelocity as a function of time?

1) Approximately, what is the maximum speed of the mass and wheredoes the maximum speed occur in
relation to the position?

2) What is the minimum speed of the mass and where does the minimumspeed occur in relation to the position?

3) Input functions(f) into cells D2 and E2 (Assume A2 is 3.16)