Question

1. You attach a 1 kg block to a horizontal spring with a constant of 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 equilibrium point of the simple harmonic motion and find it is 50 cm/s, moving to 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 moment when 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 in the values for A,ω, and φ0.

   5. What is the magnitude of the acceleration when x(t) = A/2? Since I am asking about magnitude you don’t need to worry about which of the 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 possible phases for the position A/2 will do.

Answer 1