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You attach a 1 kg block to a horizontal spring with a constant of k =...

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Physics

  1. You attach a 1 kg block to a horizontal spring with a constantof k = 25 N/m and set it oscillating on a frictionless surface.You’ve set up a gate that can read the velocity at the equilibriumpoint of the simple harmonic motion and find it is 50 cm/s, movingto the right. Assume the positive direction is to the right.

    1. What is the angular frequency, ω?

    2. What is the phase angle, φ0, assuming that t = 0 is the momentwhen you read the velocity at the

      equilibrium point?

    3. What is the amplitude, A?

    4. Write down the equations describing x(t) and a(t), filling inthe values for A,ω, and φ0.

    5. What is the magnitude of the acceleration when x(t) = A/2? SinceI am asking about magnitude you don’t need to worry about which ofthe two possible positions that are A/2 or the direction of travel- in other words you don’t need the phase. Any of the four possiblephases for the position A/2 will do.

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