Probability Density Function for a Pendulum?

Thread starter bencmier
Start date Oct 2, 2012
Tags

Density Density function Function Pendulum Probability Probability density Probability density function

AI Thread Summary

The discussion focuses on deriving the probability density function for a simple pendulum using the small angle approximation. The initial equation proposed is 1/(2 pi θmax) sec(sqrt(g/L)t), but there are concerns about its correctness. Participants question the definition of the random variable in relation to the probability density. The emphasis is on clarifying the probability density as a function of angle. Accurate formulation is essential for understanding the pendulum's behavior in this context.

Oct 2, 2012

bencmier

What is the probability density equation as a function of angle for a simple pendulum using the small angle approximation?

I got 1/(2 pi θmax) sec(sqrt(g/L)t) but it doesn't seem right.

Physics news on Phys.org

Oct 2, 2012

HallsofIvy

Science Advisor

Homework Helper

The probability density of what random variable?

Oct 2, 2012

bencmier

HallsofIvy said:

The probability density of what random variable?

"as a function of angle"

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'

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 »

Thread 'Explain this asphalt sheen'

This problem is two parts. The first is to determine what effects are being provided by each of the elements - 1) the window panes; 2) the asphalt surface. My answer to that is The second part of the problem is exactly why you get this affect. And one more spoiler:

View full post »