Hinged rod attached to elastic string

AI Thread Summary
The discussion revolves around a hinged rod with an elastic string, focusing on deriving the total potential energy (PE) and finding the equilibrium angle (θ). The elastic modulus of the string is given as (1/4Mg), and the total PE is proposed to be (1/4)MgL(1-cosθ-2sinθ). Participants suggest using torque summation about point X and applying trigonometric identities to solve the problem. The conversation highlights the need for a clear starting point in tackling the physics involved. Overall, the thread seeks guidance on approaching the calculations related to the system's equilibrium.
adam640
Messages
19
Reaction score
0
A rod (mass M, length L) hinged at point X. End Y is attached to X by an elastic string passing over a pin P, the natural length of the string is L. P is a distance L from X.

Elastic Modulus of string: (1/4Mg)

Refer to GPE to X and prove that total PE is: (1/4)MgL(1-cosθ-2sinθ) and find angle θ for the equilibrium position.

http://img155.imageshack.us/img155/1247/47349211.png

I literally have no idea where to begin with this and any help at all would be greatly appreciated.

Thank you in advance.
 
Last edited by a moderator:
Physics news on Phys.org
How about summing torques about X to zero?

And then maybe an apposite trigonometric identity?
 
Back
Top