Apply Lagrange's equations, toshow that the equations of motion of the doublependulum of Fig. 28-10 are given by01m1P1%3D(m1 + m2)l81 + malz82 + (m1 + m2) g®1 = 0l81+ lg82 + g®2 = 0m2P2and%3Dfor small angles 01, 02.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The first part is solved, need help on the remaning part....2 images thanks
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SOLVE THE FOLLOWING H.O.D.E
7.4-7.5 Intro x nl?state=%7B'ids"%3A%5B"1Hj8jnL-05aPIxd6BAuNnkV8rF7dQMA-o%5D%2C"action"%3A'open"%2C"userld%3A10586670021 Maya Paniagua - L7.4 -7.5 Intro to Trigonometry NOies/EXampies + 136% Triangle measurement angle or side Each acute angle of a right triangle has the following trigonometric ratios: The ratio of the leg opposite the angle to the hypotenuse. sin A = SINE sin B = The ratio of the leg adjacent to the angle to the hypotenuse. Cos A = COSINE cos B = The ratio of the leg opposite the angle to the leg adjacent to the angle. tan A = + TANGENT tan B =
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G 4. 5, 8. 6, 38° mz1 = m25 = m22 = m26 = m23 = m27 = %3D m24 = m28 = %3D %3D WZ = M2WXZ = %3D VY = M2WVZ = ZV = M2ZYW = ZX = m/XYW = %3D 3.

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Apply Lagrange's equations, to show that the equations of motion of the double pendulum of Fig. 28-10 are given by 01 m1 P1 12 %3D (m1 + m2)l81 + mglzö2 + (m1 + m2) gº1 = 0 and 181+ lg82 + g82 = 0 P2 for small angles 01, 02.