Question

A small solid sphere and a small thin hoop are rolling along a horizontal surface with the same translational speed when they encounter a 20 ∘ rising slope.

If these two objects roll up the slope without slipping, which will rise farther up the slope?
The sphere.
The hoop.
Both the same.
More information about the objects' mass and diameter is needed.

Answer 1

The sphere will roll further I'd think. I can kinda explain it in my mind, but not in words :P

Answer 2

so far I got 3 different answers for this and there are 4 choices ahaha

Answer 3

what should i be focusing on this problem, are there clue words

Answer 4

It's all about the moments of inertia of the objects.

Well i remember doing inclined plane problems like this ... i am just trying to remember how the moment of inertia affects things.

Answer 5

http://www.physics.umd.edu/lecdem/services/demos/demosd2/d2-01.htm

Answer 6

I had it backwards - the ball will decelerate fastest, so not roll as high. I was thinking in terms of the way down... the ball accelerates faster, but this also means it decelerates faster on the way up.

Answer 7

yeah but that would apply to the problem it they both had the same radius and mass

Answer 8

Yeah. It's viable to pick the last option here, you aren't told they're equivalent.

Answer 9

so in this case it would be more info needed but say if the sphere and hoop had the same mass, the thin hoop would go further right?

Answer 10

go further up the slope

Answer 11

Yep. It accelerates at a slower rate down the ramp = it decelerates at a slower rate up the ramp

Answer 12

thank you so much, finally getting some of this stuff =)