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Mechanical system consists of: body 1 of mass mm; body 3. - two-stage disk of mass my=2m, radii r and R=2r, and radius of

Mechanical system consists of: body 1 of mass mm; body 3. - two-stage disk of mass my=2m, radii r and R=2r,

Mechanical system consists of: body 1 of mass mm; body 3. - two-stage disk of mass my=2m, radii r and R=2r, and radius of inertia i toward horizontal axes passing through r 4 R. www. ww its center; both bodies 4- equal horizontal springs each of coe- fficient of elasticity c. An ideal cord 2 connects body I and body 3. Disk 3 moves by its small drum on a fixed horizontal plane without sliding. At the initial moment system is turned out of its equilibrium by small shifting of magnitude xo of the body 1 in the x direction (according to the figure) and released with initial velocity of magnitude vo. Assuming the system makes small oscillations around its equilibrium, neglecting resistance forces, and m, r, e are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; e) differential equation of the system motion (using the body I motion at x direction); d) the law of the system motion (using the body I motion at x direction).

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Solution a Kinetic energy of the system The kinetic energy of the system is the sum of the kinetic energies of body 1 and body 3 Kinetic energy of bod... blur-text-image

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