- #1
EnricoHendro
- 80
- 11
- Homework Statement
- Three objects of uniform density—a solid sphere, a solid cylinder, and a hollow cylinder—are placed at the top of an incline. They are all released from rest at the same elevation and roll without slipping. (a) Which object reaches the bottom first? (b) Which reaches it last?
- Relevant Equations
- Vcm=\sqrt{\frac{2gh}{(M+\frac{I}{MR^{2}})}}
Hello there, I have a question regarding this problem. I have no problem with part A. However, in part B, my solution manual states that the hollow cylinder will reach the bottom last. Why is it? I mean shouldn't the solid cylinder and the hollow one reach the bottom at the same time? you know since they have basically the same moment of inertia, (for the solid one I=\frac{1}{2}MR^{2} and for the hollow one I=\frac{1}{2}M(R1^{2}+R2^{2})).
If the hollow cylinder is the thin loop one, then I understand why it is the last one to reach the bottom. But if we assume that it is a normal hollow cylinder, than shouldn't both solid and hollow cylinders arrive at the same time?
If the hollow cylinder is the thin loop one, then I understand why it is the last one to reach the bottom. But if we assume that it is a normal hollow cylinder, than shouldn't both solid and hollow cylinders arrive at the same time?