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 con
Posted: Thu Jul 14, 2022 8:05 pm
A mass m = 1.1 kg hangs at the endof a vertical spring whose top end is fixed to the ceiling. Thespring has spring constant k = 75 N/mand negligible mass. The mass undergoes simple harmonic motion whenplaced in vertical motion, with its position given as a function oftimeby y(t) = A cos(ωt – φ),with the positive y-axis pointing upward. Attime t = 0 the mass is observed to be at adistance d = 0.35 m below itsequilibrium height with an upward speedof v0 = 5 m/s.
A) Find the angular frequency of the oscillation, inradians per second.
B) Find the value of φ, in radians.
C) Calculate the value of A, inmeters.
D) What is the mass’s velocity alongthe y-axis, in meters per second, attime t1 = 0.25 s?
A) Find the angular frequency of the oscillation, inradians per second.
B) Find the value of φ, in radians.
C) Calculate the value of A, inmeters.
D) What is the mass’s velocity alongthe y-axis, in meters per second, attime t1 = 0.25 s?