An object with a mass of #7 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+xcos(pi/4-x/6) #. How much work would it take to move the object over #x in [0, 4pi], where x is in meters?
1 Answer
Jul 13, 2017
The work is
Explanation:
The integration by parts is
We start by calculating the integral of
We perform this by integration by parts
Therefore,
The work is