a 1.5kg mass attached to spring with a force constant 20N/m along a horizontal f

Question

a 1.5kg mass attached to spring with a force constant 20N/m along a horizontal frictionless track. At t=0 the mass is released from rest at x=10cm (that is, the spring is stretched by 10cm). A) determine the frequency of the oscillations. B) determine the max speed of the mass and where does the maximum speed occur? C) determine the max acceleration of the mass, where does the max acceleration occur? D) determine the total energy of the oscillating system E) Express the displacement as a function of time

Explanation / Answer

T=2*pi*sqrt(m/k)=1.71 sec f=0.58 hz 0.5*1.5*v^2=0.5*20*0.1^2 v=0.365 m/s this occurs at the equlibrium position a(max)=k*x(max)/m=20*0.1/1.5=1.33 m/s^2 this occurs at the max elongatioin total energy=0.5*m*v(max)^2=0.0999 j

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