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 1 m². &* and the potential energy is mgl(1- cos ø) . 1 (A) –-ml ở – mgl(1–cos ø) 2 1 (B) - ml ở – mgl(1-cos ø) 2 1 (C) –mlo + mgl (1– cos ø) 1 (D) – ml ở – 2mg (1– cos ø) 2
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 1 m². &* and the potential energy is mgl(1- cos ø) . 1 (A) –-ml ở – mgl(1–cos ø) 2 1 (B) - ml ở – mgl(1-cos ø) 2 1 (C) –mlo + mgl (1– cos ø) 1 (D) – ml ở – 2mg (1– cos ø) 2
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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
1
m²o² and the potential energy is mgl(1-cos ø).
1
-ml²ở –mgl(1- cos ø)
1
(B) - mlo – mgl(1-cos ø)
1
(C) -m²o² + mgl (1– cos ø)
2
1
(D) ml o – 2mgl (1- cos ø)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bf3a707-76a0-4641-8cf3-96bac652fbea%2F57bf700b-64ae-4e0a-b284-96c5028ca6cb%2F2lan06l_processed.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
1
m²o² and the potential energy is mgl(1-cos ø).
1
-ml²ở –mgl(1- cos ø)
1
(B) - mlo – mgl(1-cos ø)
1
(C) -m²o² + mgl (1– cos ø)
2
1
(D) ml o – 2mgl (1- cos ø)
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