courtrigrad
Feb1-05, 01:24 PM
Hello all
I was given a problem involving cranks and pistons. I do not understand the exact question, but it involved an oblique triangle where you had to apply the Law of cosines. Lets say you are given \theta = \frac{\pi}{4}, x=7, c = 11 where c where c is the hypotenuse and \frac{dx}{dt} = 200 . Find the rate of change of the piston.
So here it is:
c^2 = a^2 + b^2 - 2ab\cos C
a^2 = b^2 + c^2 - 2bc\cos A
b^2 = a^2 + c^2 - 2ac\cos B
Ok so how would I solve for the change of the piston? Would I just find the derivative of the first Law of Cosine expression and substitute in the values?
I was given a problem involving cranks and pistons. I do not understand the exact question, but it involved an oblique triangle where you had to apply the Law of cosines. Lets say you are given \theta = \frac{\pi}{4}, x=7, c = 11 where c where c is the hypotenuse and \frac{dx}{dt} = 200 . Find the rate of change of the piston.
So here it is:
c^2 = a^2 + b^2 - 2ab\cos C
a^2 = b^2 + c^2 - 2bc\cos A
b^2 = a^2 + c^2 - 2ac\cos B
Ok so how would I solve for the change of the piston? Would I just find the derivative of the first Law of Cosine expression and substitute in the values?