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Problem 4: A mass m = 1.3 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has a spring constant k = 105 N/m and negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion, with its position given as a function of time by y(t) = A cos(ωt – φ), with the positive y-axis pointing upward. At time t = 0, the mass is observed to be passing through its equilibrium height with an upward speed of v0 = 3.9 m/s. Part (b) Find the smallest positive value of φ, in radians. Part (c) Calculate the value of A, in meters. Part (d) What is the mass's velocity along the y-axis, in meters per second, at time t1 = 0.25 s? Part (e) What is the magnitude of the mass's maximum acceleration, in meters per second squared?

          Problem 4: A mass m = 1.3 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has a spring constant k = 105 N/m and negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion, with its position given as a function of time by y(t) = A cos(ωt – φ), with the positive y-axis pointing upward. At time t = 0, the mass is observed to be passing through its equilibrium height with an upward speed of v0 = 3.9 m/s.

Part (b) Find the smallest positive value of φ, in radians.
Part (c) Calculate the value of A, in meters.
Part (d) What is the mass's velocity along the y-axis, in meters per second, at time t1 = 0.25 s?
Part (e) What is the magnitude of the mass's maximum acceleration, in meters per second squared?

Added by Nuria G.

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