[Rotational Inertia, Angular Velocity] problem without given masses.

AI Thread Summary
The discussion revolves around a physics problem involving a meter stick pivoted at a point and released from rest. The key concepts include rotational inertia and the application of energy conservation principles to determine maximum angular velocity. The participant initially expresses confusion over the lack of mass information but is guided to focus on energy conservation, linking potential energy and rotational kinetic energy. Ultimately, the solution emphasizes that understanding energy conservation is crucial for solving the problem. The conversation highlights the importance of these fundamental physics concepts in addressing rotational motion challenges.
Alpha Russ Omega
Messages
30
Reaction score
0
Hello:

I seem to be stuck on this one problem: "A meter stick is suspended vertically at a pivot point 0.26 meters from the top end. It is rotated on the pivot until it is horizontal and then released from rest. What will be its maximum angular velocity (in radians per second)?"

So I figured this problem might involve Rotational Inertia: I=\sum_i m_{i} r_{i}^2

Would I also need to find torque? (I'm getting confused on how the problem does not give me the mass of the meter stick.) Am I using the right formula?

Any help would be appreciated.
 
Physics news on Phys.org
You need to use energy conservation. If the angular velocity is maximal, what does that tell you about rotational kinetic energy? Further on, what does that tell you about potential energy?
 
Aha! You were dead on right about the energy conservation. Thanks for your help. :-)
 
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...
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...
Back
Top