Solution of task 20.6.12 from the collection of Kepe OE

Solution of task 20.6.12 from the collection of Kepe OE

20.6.12
The kinetic energy of the conservative system is T = x12 + x22 + 2x1x2, the potential energy is P = 0.5x12 + x2. From the differential equation of motion of the system corresponding to the generalized coordinate x2, determine the acceleration x2 at the time when the generalized coordinate x1 = 0.25 m (Response -0.25)