Recent content by szany
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Elastic pendulum - Lagrangian approach
I'm not sure I understand. From your equation, \phi = \epsilon = 0 (since \phi_0 = 0 clearly satisfies \ddot{\phi}=\dot{\phi}=0} ). Is something wrong with the result I got above?- szany
- Post #7
- Forum: Advanced Physics Homework Help
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Elastic pendulum - Lagrangian approach
Aha you're right; I missed a power of 2. Silly. I'll edit the equations to make sense. Everything looks good now.- szany
- Post #5
- Forum: Advanced Physics Homework Help
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Elastic pendulum - Lagrangian approach
But then must not \ddot{\phi} = 0? If so, the second equation becomes Mg(L_0 + x)\phi = 0, which means \phi = 0; a bit excessive for a small angle approximation. On the other hand, leaving \ddot{\phi} alone, x drops out completely from the second equation and (using x \ll L_0) I get...- szany
- Post #3
- Forum: Advanced Physics Homework Help
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2 masses connected via pulley system.
I don't think inertia should affect the answer at all; inertia just tells you how fast something accelerates relative to applied force, and a constant motion situation involves no acceleration (linear or rotational). The tension will always be equal no matter what the situation (assuming a...- szany
- Post #2
- Forum: Introductory Physics Homework Help
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Elastic pendulum - Lagrangian approach
Homework Statement A spring of rest length L_0 (no tension) is connected to a support at one end and has a mass M attached at the other. Neglect the mass of the spring, the dimension of the mass M, and assume that the motion is confined to a vertical plane. Also, assume that the spring only...- szany
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- Approach Elastic Lagrangian Pendulum
- Replies: 8
- Forum: Advanced Physics Homework Help