Hollow sphere rolling up a ramp

AI Thread Summary
A hollow sphere rolling at 5 m/s encounters a 30-degree incline, prompting a discussion on how far it will roll up before reversing direction. The conservation of energy is identified as the appropriate approach, using the equation 1/2mv^2 + 1/2Iω^2 = mgh. Participants note that for rolling without slipping, the relationship v = rω applies, although the radius is not explicitly provided. It is suggested that the radius can be treated as a variable "r" to simplify calculations. The conversation emphasizes understanding rotational inertia and the conditions for rolling without slipping.
mjolnir80
Messages
54
Reaction score
0

Homework Statement


a hollow sphere is rolling long a horizontal floor at 5 m/s when it comes to a 30 degree incline. how far up the incline does it roll before reversing direction?

Homework Equations


The Attempt at a Solution


it seems like conservation of energy would work best for this problem
1/2mv^2 + 1/2I\omega^2 = mgh
im just having some problems finding \omega
am i doing this right? and if so any clues on how to find \omega?
thanks in advance
 
Physics news on Phys.org
Assuming the sphere is rolling without slipping, ω and v are directly related. (What's the condition for rolling without slipping?) What's the rotational inertia of a hollow sphere?

Your method is fine.
 
v=\omegar right? but we don't have the radius of the sphere
or do we....?
 
mjolnir80 said:
v=\omegar right?
Right.
but we don't have the radius of the sphere
or do we....?
Maybe you don't need it. :wink: (Just call it "r" and see what happens.)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Distance rolled of sphere vs cylinder with same m, r, and v
Replies
5
Views
700
Rolling without slipping problem
Replies
42
Views
3K
Ring and solid sphere rolling down an incline - rotation problem
Replies
8
Views
3K
Sphere rolling down incline then up incline?
Replies
5
Views
2K
What Is the Effect of Friction on the Height of a Sphere Rolling Down a Ramp?
Replies
2
Views
2K
A ball climbing a ramp while "rolling the wrong way"
Replies
32
Views
3K
Question About Momentum: Ball Rolling up a Curved Ramp
Replies
12
Views
1K
Is this formula for a ball rolling down a ramp incorrect?
Replies
10
Views
3K
A sphere rolling without slipping down a hemisphere
Replies
17
Views
3K
Calculate angular velocity of a ball rolling down incline?
Replies
6
Views
5K

Hot Threads

Recent Insights

Back
Top