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Solution of task 20.4.4 from the collection of Kepe OE

Solution of task 20.4.4 from the collection of Kepe OE

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20.4.4

At some instant of time, the generalized coordinate φ = 3 rad, and the generalized velocity φ = 2 rad / s. Determine the modulus of the kinetic potential of a mechanical system if it is known that the kinetic energy of the system is T = 10φ2 and the potential energy is Π = 2φ2. (Answer 22)