The following question I have been having difficulties with:
"A cable is 20 m in length, and has a linear density of 3kg/m. It is hanging from a winch that is 30m above the ground. How much work is done in winding up:
a) Half of the cable? B) All of the cable?
I have attempted part a by
For the bottom portion which is all lifted 10m:
and for the top portion which varies:
The integrand of 3*9.8*y evaluated from 0-10. I am sorry but I can't get the symobls to work at all.
When this is all done and calculated, I do not get the correct answer. If someone could tell me what I am missing, that would be awesome!