A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes
a. Find the angular frequency of oscillation, in radians per second.
b. Determine the magnitude of the coefficient A, in meters.
c. Determine the value of φ, in radians.
d. Enter an expression for the velocity along the y-axis as a function of time, in terms of A, φ, ω, and t.
e. What is the mass’s velocity, in meters per second, at time t1 = 0.25 s?
f. What is the magnitude of the mass’s maximum acceleration, in meters per second squared?
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