Rotational motion: rod in a tube

AI Thread Summary
The discussion focuses on a physics problem involving a thin rod sliding within a frictionless tube that can pivot freely. The goal is to derive the equations of motion for the rod based on the angle of the tube, θ, and the radial position, r. Participants express confusion regarding the system's description and request clarification through a diagram. The attached diagram aims to provide a clearer understanding of the setup. Overall, the thread seeks assistance in solving the equations of motion for this rotational motion scenario.
SonOfOle
Messages
41
Reaction score
0

Homework Statement


A long thin tube of negligible mass is pivoted so it may rotate freely without friction in a horizontal plane. A thin rod of mass M and length L lies in the tube and can slide without friction in the tube. (I_{Thin Rod}=\frac{1}{12}ML^{2}).

Find the equations of motion for the thin rod in terms of the angle of the tube, \theta, and the radial position of the center of the rod, r.
 
Physics news on Phys.org
Could you perhaps draw a diagram of what you're asking? I'm a little confused by your description, because you could be describing a number of different systems.
 
The diagram is attached. Thanks for any help. I'm currently stumped.
 

Attachments

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

Question about springs and rotational/translational energy
Replies
4
Views
1K
Forces that act on a physical pendulum
Replies
7
Views
3K
Rotational inertia - globes connected by a thin rod
Replies
9
Views
2K
Challenging problem about an impact with a smooth frictionless surface
2
Replies
55
Views
5K
A falling rotating rod strikes a ball of mass M....
Replies
13
Views
2K
Motion of rotating rig, find the angle variation with control rod length
Replies
12
Views
1K
How Does Torque Apply to a Rotating Rod on a Frictionless Surface?
Replies
4
Views
2K
Rotating uniform rod about an arbitrary axis
Replies
24
Views
3K
What happens to the moment of inertia when a rod is folded?
Replies
9
Views
2K
Conservation of angular momentum
Replies
22
Views
3K

Hot Threads

Recent Insights

Back
Top