An object of mass 1.50 kg is attached to a spring is undergoing simple harmonic motion on a frictionless surface. The period of the motion is 0.70 s. At t = 0 s, the object is instantaneously at rest at x = +5.0 cm. In general, the position is given as x = xm cos (ωt + ϕ). Determine; a) The time it takes for that object to go from x = +5.0 cm to x = −5.0 cm in the first cycle of the motion. b) The angular speed, ω of the oscillation. c) The phase angle, ϕ. Write the position x (t) for this motion. d) The total energy of the system. e) The kinetic energy and the potential energy of the system at x = 3.0 cm. f) The speed of the object at x = 3.0 cm
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