Homework SourseA spring with a spring constant k of 20 pounds per foot is l
A spring with a spring constant k of 20 pounds per foot is loaded with a 10-pound weight and allowed to reach equilibrium. It is then displaced 1 foot downward and released. If the weight experiences a retarding force in pounds equal to four times the velocity at every point, find the equation of motion.
y(t)=
where t is time and y(t) is displacement in time.
y(t)=
where t is time and y(t) is displacement in time.
Solution
This is simple harmonic motion, the equation is Acos(wt)
A is the amplitude and is equal to one foot so we could just say cos(wt)
w is the angular frequency and can be found from sqrt(k/m) both k and m are given.
