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A 2.65 kg mass oscillates back and forth on a spring with a velocity vector that...

A 2.65 kg mass oscillates back and forth on a spring with a velocity vector that varies as a function of time according to the following v(t)=(3.95cm/s) sin [0.79 rad/s]

What is the maximum speed of mass
What is the spring constant if the spring in n:m

How fast us the mass moving at t= 5.0 sec in m/s

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Answer #3

v(t)=Vosin(wt)

Vo=V max=3.95cm/s

w=sqrt(k/m)

thus,k=w2m=1.65N/m

|v(5)|=0.0285m/s

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