SOLUTION: The displacement of a body is given by s =4sin(t+30), and a force acting upon the body is given by F=7sin(t-60). If the energy of the motion, E, at at time t is the product Fs, sh

Algebra ->  Trigonometry-basics -> SOLUTION: The displacement of a body is given by s =4sin(t+30), and a force acting upon the body is given by F=7sin(t-60). If the energy of the motion, E, at at time t is the product Fs, sh      Log On


   



Question 22230: The displacement of a body is given by s =4sin(t+30), and a force acting upon the body is given by F=7sin(t-60). If the energy of the motion, E, at at time t is the product Fs, show that E=-14cos(2t-30)
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
s =4sin(t+30), and a force acting upon the body is given by F=7sin(t-60). If the energy of the motion, E, at at time t is the product Fs, show that
E=-14cos(2t-30)

Use the formula:
2 sin A sin B = cos (A-B) - cos(A+B) and cos 90 deg= 0
Kenny