Consider the length of the simple pendulum is 1 and the mass of the pendulum bob is m . Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is m² ø? and the potential energy is mg1(1-cos ø) . 1 (A) - mi g* – mg}(1– cos ø) 2 1 (В) — mi ф - mgl (1-cos ф) 1 (С) — mі ф + mgl(1-сos ) 1 (D) – ml ở – 2mgl (1– cos ø)
Consider the length of the simple pendulum is 1 and the mass of the pendulum bob is m . Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is m² ø? and the potential energy is mg1(1-cos ø) . 1 (A) - mi g* – mg}(1– cos ø) 2 1 (В) — mi ф - mgl (1-cos ф) 1 (С) — mі ф + mgl(1-сos ) 1 (D) – ml ở – 2mgl (1– cos ø)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Consider the length of the simple pendulum is 1 and the mass of the pendulum bob is m .
Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is
m² ø? and the potential energy is mg1(1-cos ø) .
1
(A) - mi g* – mg}(1– cos ø)
2
1
(В) — mi ф - mgl (1-cos ф)
1
(С) — mі ф + mgl(1-сos )
1
(D) – ml ở – 2mgl (1– cos ø)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae6be51-bf92-431e-8b92-bf1f35b0fd7d%2Fd6fc4e49-725c-4b0a-b587-c3839a0d771f%2Fgyle4ul.png&w=3840&q=75)
Transcribed Image Text:Consider the length of the simple pendulum is 1 and the mass of the pendulum bob is m .
Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is
m² ø? and the potential energy is mg1(1-cos ø) .
1
(A) - mi g* – mg}(1– cos ø)
2
1
(В) — mi ф - mgl (1-cos ф)
1
(С) — mі ф + mgl(1-сos )
1
(D) – ml ở – 2mgl (1– cos ø)
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