How Does Angular Acceleration Affect Rotational Motion?

AI Thread Summary
The discussion revolves around two problems related to angular acceleration and rotational motion. For the rotating door problem, the key steps involve calculating the rotational inertia of the door and applying the torque formula to determine the angular acceleration, considering the force applied is perpendicular to the pane. In the second problem regarding the falling rod, the tangential speed of the free end can be found by calculating the time it takes to fall and using the moment of inertia for a thin uniform rod. Converting the angle through which the rod falls into radians is also necessary for accurate calculations. Overall, understanding the concepts of torque and moment of inertia is crucial for solving these rotational motion problems.
rockmorg
Messages
22
Reaction score
0
Hey all, thought I should ask about a couple problems...

1 - A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 95 kg. A person pushes on the outer edge of one pane with a force of F = 80 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration.

This says it is about a fixed axis so I don't know how that changes it, but it doesn't seem like I have enough information for one of the rotational kinematics equations...

2 -

A thin uniform rod is initially positioned in the vertical direction, with its lower end attached to a frictionless axis that is mounted on the floor. The rod has a length of 1.90 m and is allowed to fall, starting from rest. Find the tangential speed of the free end of the rod, just before the rod hits the floor after rotating through 90°.

This one seems like it should be really easy, but I'm not sure. I'll need the time it takes for the rod to fall, and I assume that I could use moment of inertia somehow because they specifically say thin uniform rod? Then convert the angle it fell thru to radians...?

Thanks much, any help is appreciated!
-
rockmorg
 
Physics news on Phys.org
For problem 1, first find the rotational inertia of the door (includes all 4 panes). Then, you can use the torque formula to find the angular acceleration. Remember the force is perpendicular to the pane.
 
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