PROBLEM 3 Mechanical system consists of: body 1 of mass m₁ =m; body 3 two-stage disk of mass m3=8m, radii r and R=2r, and radius of inertia i3=toward horizontal axes passing through 4 2 3 R wwwwww its center; both bodies 4 equal horizontal springs each of coe- fficient of elasticity c. An ideal cord 2 connects body 1 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, c are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x direction).

PROBLEM 3 Mechanical system consists of: body 1 of mass m₁ =m; body 3 two-stage disk of mass m3=8m, radii r and R=2r, and radius of inertia i3=toward horizontal axes passing through 4 2 3 R wwwwww its center; both bodies 4 equal horizontal springs each of coe- fficient of elasticity c. An ideal cord 2 connects body 1 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, c are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x direction).

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.60P: The weightless bars AB and CE, together with the 5-lb weight BE, form a parallelogram linkage. The...

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