Pendulum measuring the restorative force HELP

AI Thread Summary
The discussion focuses on deriving an expression for mass in a pendulum system using a force meter. The pendulum's length and angle are considered, with the radial and tangential forces analyzed. It is noted that the radial force due to gravity is balanced by the tension in the string, while the tangential force is unbalanced, driving the pendulum back to equilibrium. The force meter measures this tangential force, which is crucial for finding mass. The participant ultimately understands the relationship between these forces and how to approach the problem.
milk242
Messages
2
Reaction score
0
Pendulum measuring the restorative force HELP!

Homework Statement


A pendulum with length L is suspended at an angle theta. At the bottom of the pendulum, a string is attached to force meter. The string attached to the force meter is perpendicular to the pendulum string. In terms of F and theta, find an expression for mass.

Homework Equations


Fg= -mg
(Fg)r = -mgcos(theta)
(Fg)t = -mgsin(theta)

The Attempt at a Solution


What I get is all the tangential and radial components cancel out equally zero, which I would expect because mass doesn't matter in a pendulum. So I don't understand how I'm suppose to obtain an expression for mass.
 

Attachments

  • Screen shot 2010-04-11 at 10.15.14 PM.png
    Screen shot 2010-04-11 at 10.15.14 PM.png
    5.6 KB · Views: 522
Physics news on Phys.org


Hi milk242, welcome to PF.
Radial force due to mg is balance by the tension in the string. Where as the tangential force is an unbalanced force which tries to bring the bob to the equilibrium position.
Your force meter measures this force, which is perpendicular to the string.
 


Thanks for your help! I got it now.
 
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