Compare a simple pendulum's period on the earth to its period on a moon to find the moon's gravity acceleration.

A simple pendulum, length L, completes 12 oscillations in 30 seconds here on the earth where g= 9.8 nt/kg. The same length pendulum on a certain moon of Jupiter, completes 18 oscillations in 54 seconds. a.) Find the acceleration of gravity, g1, on that moon. b.) Find the weight on the surface of that moon, of a person whose weight on the surface of the earth is W=686 nt.

An irregular flywheel is suspended on a pivot and oscillates with SHM from which we must find its moment of inertia.

A flywheel is symmetrical but irregular. SEE ATTACHMENT #1 for a diagram showing parameters. Its mass is 25 kg. When supported from a knife edge pivot, .36 m from the c. m. at its center, it oscillates as a physical pendulum completing 100 complete oscillations in 180 seconds. Find Io, its moment of inertia about the c.m. axis.

Given an equation of x(t) for a certain point moving with SHM, get v(t) and a(t), then calculate intercepts on the curves provided in ATTACHMENTS.

The position x of a certain SHM is expressed by: x = (.25 m) cos (8 t). PART a. Take derivatives to write v(t) and a(t). PART b. ATTACHMENT #1 shows general sine or cosine curves with the time axis shown. The location of the vertical axis, not shown, depends on the equation for t=0. For each equation, make a vertical axis and write the coordinates of its intercept, then calculate and write the time coordinates of three time intercepts to the nearest millisecond. SEE ATTACHMENT #2 for an example. PART c. Find the time in seconds for the point to move from +.15 m to -.10 m.

For a given equation x(t) of SHM with initial phase non-zero, obtain v(t) and a(t) then make graphs of all three functions. Must show intercepts.

The position x of a certain SHM is expressed by: x = (.36 m) cos (6 t + .628). PART a. Take derivatives to write v(t) and a(t). PART b. ATTACHMENT #1 shows general sine or cosine curves with anly a time axis. The location of the vertical axis, not shown, depends on the equation. For your x(t) and v(t) and a(t), locate the vertical axis and write the coordinates of its intercept, then calculate and write the time coordinates of three time intercepts to the nearest millisecond. SEE ATTACHMENT #2 for an example of similar work. PART c. Construct a reference circle and show one radius xm at t=0 and another somewhere in the first quadrant after through angle 6t.

Calculating the moment of inertia of an irregular object by the axis translation theorem.

An irregular piece of sheet metal mounted on a pivot at a distance of .62 m from the cm. About this pivot point, it oscillates with SHM with a period measured at 2.25 seconds. PART a. Find the moment of inertia about the pivot axis. PART b. Find the moment of inertia about the cm axis.