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[QUE/CM-02034]

Node id: 3165page

A mass \(m\) is suspended by a mass-less spring of spring constant \(k\) and un-stretched length\(b\). The suspension point is pulled upwards with constant acceleration \(a_0\). Gravity acts vertically downwards.

Find the Lagrangian and Hamiltonian function and write Hamilton's equations of motion.
Find also
the period of motion.

Panat

kapoor's picture 22-08-26 12:08:32 n

LFM/CM-07 :: Eliminating Zero Frequency Modes of Translation and Rotation

Node id: 3109page
kapoor's picture 22-08-26 12:08:27 n

CM@HCU :: Tutorial I

Node id: 3065page

Assistance for Classical Mechanics Tutorial-I

 

Click to go back to the Tutorial Page

kapoor's picture 22-08-26 12:08:18 n

\(\S\S\) 7.3 Q[2] \(\int_0^\infty \frac{x}{x^4+1} dx\)

Node id: 1835page
kapoor's picture 22-08-26 11:08:24 n

\(\S\S\) 7.3 Q[9] \(\int_0^\infty \frac{x^2+1}{(x^4+1)^2}dx \)

Node id: 1842page
kapoor's picture 22-08-26 11:08:00 n

\(\S\S\) 7.3 Q[11] \(\int_0^\infty \frac{x^4}{x^{2N}+1} dx\)

Node id: 1844page
kapoor's picture 22-08-26 11:08:11 n

\(\S\S\) 7.3 Q[12] \( \int_0^\infty \frac{dx}{x^N+1} \)

Node id: 1846page
kapoor's picture 22-08-26 11:08:44 n

\(\S\S\) 7.3 Q[13] \(\int_0^\infty \frac{x^{2N}}{x^{2M}+1} \, dx\)

Node id: 1848page
kapoor's picture 22-08-26 11:08:15 n

\(\S\S\) 7.3 Q [7] \(\int_0^\infty \frac{x^2\, dx}{x^6+1}\)

Node id: 1840page
kapoor's picture 22-08-26 11:08:57 n

\(\S\S\) 7.3 Q[14] \(\int_0^\infty \frac{dx}{(p+qx^2)^N}\)

Node id: 1847page
kapoor's picture 22-08-26 11:08:38 n

\(\S\S\) 7.3 Q [8] \(\int_0^\infty \frac{dx}{(x^2+p^2)(x^2+q^2)}\)

Node id: 1841page
kapoor's picture 22-08-26 11:08:07 n

\(\S\S\) 7.3 Q[3] \(\int \frac{dx}{x^4+x^2+1}\)

Node id: 1836page
kapoor's picture 22-08-26 11:08:51 n

\(\S\S\) 7.3 Q[4] \(\int_{-\infty}^\infty \frac{dx}{(x^2+x+1)^2}\)

Node id: 1837page
kapoor's picture 22-08-26 11:08:24 n

\(\S\S\) 7.3 Q[5] \int_{-\infty}^{\infty}\(\frac{(x^2+2)}{(x^4+10x^2+9)}\)

Node id: 1838page
kapoor's picture 22-08-26 11:08:10 n

\(\S\S\) 7.3 Q[6] \(\int_0^\infty \frac{(x-2)}{(x^4+10x^2+9)} dx\)

Node id: 1839page
kapoor's picture 22-08-26 11:08:26 n

2019-CM-I @ CMI :: Assignments and Group Activity Q-Papers

Node id: 3175curated_content
kapoor's picture 22-08-26 10:08:21 n

2019-CM-I @ CMI :: Quiz Papers with Solutions

Node id: 3176curated_content
kapoor's picture 22-08-26 10:08:33 n

QFT/17- Course Overview

Node id: 2270page
kapoor's picture 22-08-26 10:08:04 n

[QUE/QM-20007]

Node id: 2682page

Find the direction along which the spin projection is $1/2$ for a spin  half particle if the spin wave function the particle is given to be 

\[ \chi = \begin{pmatrix} 3\over 5 \\ -{4\over 5} \end{pmatrix}\]

kapoor's picture 22-08-26 10:08:33 n

2019-CM @ HCU :: Lessons [LNK]

Node id: 3444curated_content
kapoor's picture 22-08-26 00:08:40 n

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