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An object of mass m = 0.25 kg has a horizontal spring attached to its left...

An object of mass m = 0.25 kg has a horizontal spring attached to its left side, and slides along a frictionless surface. The spring constant is κ = 0.4 N m . At t = 0 s, the object is displaced 0.1m to the right of its equilibrium position. Its initial velocity is 0.4 m s , toward the right.

a) Calculate the period T of the motion. b) Calculate the angular frequency ω. c) Calculate the frequency ν. d) Calculate the total energy E. e) Calculate the amplitude A of the motion. (careful!) f) Calculate the phase angle φ. g) Calculate the maximum velocity vmax. (careful!) h) Calculate the maximum acceleration amax. i) Calculate the position, velocity, and acceleration at t = π 8 s.

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