- #1
highroller
- 6
- 0
1. The problem statement: a 100kg homogeneous cylinder of radius .3m. Starts at rest. Is pulled by a string wrapped around the cylinder coming off the top with a force of 500N.
Find the angular velocity after the cylinder has rolled one revolution?
The attempt at a solution: I= 4.5kg*m^2
circumferance=1.885m
work= 500*1.885= .5m(wr)^2+.5Iw^2 (using w for omega)
answer I get ... w=11.81rad/s
supposedly correct answer is 16.71
can someone please explain. I suppose the force could be doing rotational work as well but I'm having a hard time believing that the force does double the work because of where it is applyed.
My question is which answer is correct and WHY? thanks for any help
Find the angular velocity after the cylinder has rolled one revolution?
The attempt at a solution: I= 4.5kg*m^2
circumferance=1.885m
work= 500*1.885= .5m(wr)^2+.5Iw^2 (using w for omega)
answer I get ... w=11.81rad/s
supposedly correct answer is 16.71
can someone please explain. I suppose the force could be doing rotational work as well but I'm having a hard time believing that the force does double the work because of where it is applyed.
My question is which answer is correct and WHY? thanks for any help