Question

Problem 1 (10 points) A mass m = 0.3 kg is tied at one end of a spring whose force constant is k = 60 N/m and whose other end is held fixed. At time t = 0, the initial position is x0 = 0 and initial velocity is v0 = 30 m/s. (a) What are the angular frequency ω, frequency f, and the period T, amplitude A, and phase δ of oscillations? (b) What is the position x(t) for all subsequent times? Problem 2 (40 points) The maximum displacement of a mass oscillating about its equilibrium position is 0.3 m and its maximum speed is 0.5 m/s. What is the period T of oscillations? Problem 3 (40 points) Consider a car on a spring which is critically damped. At time t = 0, it sits in the equilibrium position and is kicked in the positive direction with velocity v0. Find the position x(t) for all subsequent times.

          Problem 1 (10 points)
A mass m = 0.3 kg is tied at one end of a spring whose force constant is k = 60 N/m and whose other end is held fixed. At time t = 0, the initial position is x0 = 0 and initial velocity is v0 = 30 m/s.
(a) What are the angular frequency ω, frequency f, and the period T, amplitude A, and phase δ of oscillations?
(b) What is the position x(t) for all subsequent times?

Problem 2 (40 points)
The maximum displacement of a mass oscillating about its equilibrium position is 0.3 m and its maximum speed is 0.5 m/s. What is the period T of oscillations?

Problem 3 (40 points)
Consider a car on a spring which is critically damped. At time t = 0, it sits in the equilibrium position and is kicked in the positive direction with velocity v0. Find the position x(t) for all subsequent times.

problem 10 points a mass m 03 kg is tied at one end of a spring whose force constant is k 60 nlm and whose other end is held fixed at time t 0 the initial position is xo and initial velocity 02176

Added by Juan J.

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