A 5 kg mass is hung on a spring with a stiffness of 70 N/m. Find the oscillation response of this mass as a function of time, if x0= 1 m and v0= - 0.45 m/s. x0 is the initial displacement and v0 the initial speed. x = cos (3.74 t) - 0.12 sin(3.74 t)

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
Section12.2: Analysis Model: Particle In Simple Harmonic Motion
Problem 12.4QQ: An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is...
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A 5 kg mass is hung on a spring with a stiffness of 70 N/m. Find the oscillation
response of this mass as a function of time, if x0= 1 m and v0= - 0.45 m/s. x0 is the
initial displacement and vo the initial speed.
x = cos (3.74 t) - 0.12 sin(3.74 t)
x = cos (14 t) - 0.12 sin(14 t)
x = - 0.12 cos (3.74 t) + sin(3.74 t)
x = - 0.12 sin(3.74 t) + cos (14 t)
Transcribed Image Text:A 5 kg mass is hung on a spring with a stiffness of 70 N/m. Find the oscillation response of this mass as a function of time, if x0= 1 m and v0= - 0.45 m/s. x0 is the initial displacement and vo the initial speed. x = cos (3.74 t) - 0.12 sin(3.74 t) x = cos (14 t) - 0.12 sin(14 t) x = - 0.12 cos (3.74 t) + sin(3.74 t) x = - 0.12 sin(3.74 t) + cos (14 t)
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