Question

Write the equations of motion of the system shown in Figure P4.3, using Lagrange's equation. Write the equations in terms of x, and X.

Answer 1

.$ ܘ Total tinetic Energy of system ܘܐ ܢ ܢܬ ܢ ܝN 83܀ 3,cm 'ܬ݁ܟܢ!:-£»-T_ 1 ,6 + % 82 . ; ; I AS , * a . : ܐܨܐ ;)AJ ܪܫܺܝܗ܊ ܃ ܧܼܲ]s܊ ܀ * :* _%_ 882 : ܝܐ 5 IN ܙ r : (a- E : !(«;: 5)3:_ -® _ Tokel potential Energy. 9-1 :ܐ 21 ;-: . ";,( , - z ܀ ܐܪܛܼ :V i + ! ( " ; - ; ) - bi (ܢܸܐ ܪܨܬ݁)! .ܬ ܘܶܐ fo ( l : - » - | - Langrangian. As per langsangian Egh ܘ . OL .[ܬ© ܐ ܘ ܂ ܂ dtbf;]_22; g:1;2 for i=1 ܘ : ܬ?. ' ܬ do ,t Io£ , ] ox ܦ

dil if2(0.47-) :14 14 (23) 4.{<23x2] , (M, 470, ) 3 + $12, + 5/7,-4)-0 (Mat To, či + (kitk), - 1526-D ) M -12- for 1:2. DL al bli (z (Mat tag) 11 ) - ., 2(22X41) (280)|| * (Ma + Fo?) č – ks Qui<3>) + kg = 0 (1, 1 Toz ) 8; -62, +(6+19) 3; -0 - 16) Equation +)$ 1(b) represents Eg" of motion.
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