Solution of task 20.6.10 from the collection of Kepe OE

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20.6.10
The kinetic T = 6x2 + 8y2 + 10z2 and the potential P = - (6x + 8y + 10z) energy of the mechanical system are expressed respectively in terms of the generalized velocities x, y, z and generalized coordinates x, z. Determine the acceleration z. (Answer 0.5)
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