In Problem,an object attached to a coiled spring is pulled down a distance a from its rest position and then released.Assuming that the motion is simple harmonic with period T,develop a model that relates the displacement d of the object from its rest position after t seconds.Also assume that the positive direction of the motion is upa = 5; T = 6 seconds

A yo-yo oscillates up and down like a sine function y(t)=sin(t). a) What is the displacement over the time interval [0,6π]?   b) What is the total distance traveled by the yo-yo over the same time interval?   c) What is the minimum velocity of the yo-yo? Minimum speed?   d) At what part of the cycle is the yo-yo increasing in speed but decreasing in velocity?

Two particles oscillate in simple harmonic motion with amplitude A about the centre of a common straight line of length 2A. Each particle has a period of 1.5 s, and their phase constants differ by 4 rad. (a) How far apart are the particles (in terms of A) 0.5 s after the lagging particle leaves one end of the path? Enter the exact answer in terms of A. ab sin (a) Ω

What is true about the acceleration of a simple harmonic oscillator? (Choose all correct answers; there may be more than one correct answer.) O The acceleration is a maximum when the object is instantaneously at rest. O The acceleration is a maximum when the displacement of the object is a maximum. O The acceleration is a maximum when the speed of the object is a maximum. O The acceleration is zero when the speed of the object is a maximum. O The acceleration is a maximum when the displacement of the object is zero.

An object moves with simple harmonic motion of period Tand amplitude A. During one complete cycle, for what length oftime is the speed of the object greater than vmax>2?