The position of a mass on a spring is given by x = (6.5 cm) cos [2 pi t/ (0.88s)]. (a) What is the period of this motion? (b) Where is the mass at t = 0.25 s? (c) Show that the mass is at the same location at 0.25 s + T seconds as it is at 0.25 s.© BrainMass Inc. brainmass.com March 4, 2021, 6:23 pm ad1c9bdddf
The standard equation for simple harmonic motion is
x = A cos [2 pi t / T]
where x is position, A is amplitude, t is time, and T is period.
(a) matching the equation in the problem to the standard equation, we see immediately that the period is 0.88s.
Solution shows the equation for simple harmonic motion and proceeds step-by-step for a complete solution of all the parts of the question. Solution also shows how to use radians and degrees.