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Forum: Science, Math, and Philosophy

08-10-2007, 10:39 AM

Replies: 7

Geometry Question from Dinner

Posted By danny

Re: Geometry Question from Dinner

Put center of chair over intersection of lines. Rotate 45 degrees.

Forum: Science, Math, and Philosophy

06-09-2007, 09:48 PM

Replies: 8

Matrix help needed

Posted By danny

Re: Matrix help needed

In general, if n > m as in your example, the problem is underdetermined. You have m equations and n unknowns. In your example, the vector (0.3, 0.4, 0) is also a solution.

On the other hand, if...

Forum: Science, Math, and Philosophy

05-08-2007, 06:44 PM

Replies: 17

A Physics Question

Posted By danny

Re: A Physics Question

Borodog,

I think you're wrong. From the form of the integral you asked about, it appears that you were calculating the restoring force for a small displacement of the ring in the plane of the...

Forum: Science, Math, and Philosophy

04-12-2007, 12:42 AM

Replies: 26

Another Physics Problem

Views: 102

Posted By danny

Re: Another Physics Problem

jason,

You are correct, it is not a coincidence, and the symmetry requirement on the distribution is not needed.

If we define the mass distribution as m*f(x), then we can solve the problem...

Forum: Science, Math, and Philosophy

04-10-2007, 03:31 AM

Replies: 26

Another Physics Problem

Views: 102

Posted By danny

Re: Another Physics Problem

L/sqrt(12) above the midpoint.

Forum: Science, Math, and Philosophy

02-19-2007, 03:31 AM

Replies: 32

Rejected Physics Problems

Views: 150

Posted By danny

Re: Rejected Physics Problems

x=h tan(theta)
d-x=(h-deltah) tan(theta)
Eliminating h and solving for x:
x=(d + deltah tan(theta))/2

We also have sin(theta) = d/L
So tan(theta) = d/sqrt(L^2 - d^2)

This gives the solution:

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