What Is the Angular Speed of a Falling Meter Stick?

AI Thread Summary
To determine the angular speed of a falling meter stick hinged at its lower end, conservation of energy can be applied. The gravitational potential energy at the vertical position converts into rotational kinetic energy as the stick falls. The initial height of the center of mass and the moment of inertia of the meter stick are key factors in the calculations. The discussion highlights the challenge of starting the problem with limited data and emphasizes the importance of understanding the relationship between linear and angular motion. Utilizing these principles will lead to the solution for the angular speed upon impact with the table.
gmiller4th
Messages
3
Reaction score
0

Homework Statement


A meter stick is hinged at its lower end and allowed to fall from a vertical position. With what angular speed does it hit the table?

Homework Equations


V = rW (Not sure?)

The Attempt at a Solution


I have no clue where to even start with this problem, given the small amount of given data.

Obviously a meter stick is 1m long. But this doesn't get me very far. I know that gravity is also acting on the object so that would have to be included somewhere in my calculation. Basically I'm completely lost on this one.

Thanks for your help / guidance.
 
Physics news on Phys.org
Welcome to PF!

gmiller4th said:
A meter stick is hinged at its lower end and allowed to fall from a vertical position. With what angular speed does it hit the table?

Hi gmiller4th! Welcome to PF! :smile:

Hint: use conservaton of energy. :wink:
 

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

Find the angular acceleration of the bridge?
Replies
1
Views
3K
Angular velocity and acceleration of a plank
Replies
7
Views
3K
Determine the angular acceleration and angular velocity
Replies
2
Views
3K
Centripetal Acceleration Problem: Finding Angular Speed
Replies
2
Views
2K
What does this equation mean? angular acceleration
Replies
2
Views
2K
Riding a bicycle around a tree w/ constant acceleration
Replies
20
Views
2K
How Is Angular Acceleration Calculated for a Speeding Ferris Wheel?
Replies
1
Views
2K
How to calculate angular speed?
Replies
7
Views
2K
Why Doesn't My Method Work for Calculating Angular Speed of a Falling Rod?
Replies
18
Views
3K
Angular Acceleration (and other torque/angular problems)
Replies
5
Views
3K

Hot Threads

Recent Insights

Back
Top