You have a mass of 2 kg attached to a spring with a spring constant 18 N/m. The mass is at rest at the equilibrium position. At time t=0 you hit the object with a hammer. This blow instantaneously gives the object a velocity of 3 m/s. The motion (after the blow) is described by the function x= Acos(omega t + constant).

Question

You have a mass of 2 kg attached to a spring with a spring constant 18 N/m.  The mass is at rest at the equilibrium position.  At time t=0 you hit the object with a hammer.  This blow instantaneously gives the object a velocity of 3 m/s.  The motion (after the blow) is described by the function x= Acos(omega t + constant).

a.)  What is the frequencey (omega)?
b) determine the value of the constant.
c.) determine the value of constant A.
d.) what is the position and velocity at t- 2s
e.)  What is the meximum displacement?  At what time does this occur?

I am confused on how to solve for omega.  I know that omega is the frequency as well so omega/2pi equals frequency, but I am confused on what to solve for.

bobpursley · Answer

isnt omega= sqrt (k/m)?