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cpyykkonen
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Homework Statement
1. A weight hangs from a spring. If a force is applied to the weight at t = 0 seconds, it will start moving up and down. The following equation gives the distance d, in centimetres, of the weight from its equilibrium point: d=4(sin5t-4cos6t)
At what times during the first 2 seconds is the weight at the equilibrium point?
Homework Equations
The Attempt at a Solution
Since d=0 at equilibrium, we can set the equation 4(sin5t-4cos6t)=0
Since the factored out 4 will only affect the amplitude of the function, we can get rid of that (since we are looking for points of 0)
So I am left with sin5t-4cos6t=0
or sin5t=4cos6t
I understand that this is a difference of 2 functions (sint and cost), and the 0's will occur when each individual functions have equal but opposite magnitudes...I just have no idea how to proceed to find those points.