PROBLEM 3 Mechanical system consists of: body 1 of mass mm; body 3 - two-stage disk of mass my-2m, radii r and R=2r, and 4 radius of inertia i-toward horizontal axes passing through 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 x, 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: R www. www. 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 I motion at x direction); d) the law of the system motion (using the body I motion at x direction).

PROBLEM 3 Mechanical system consists of: body 1 of mass mm; body 3 - two-stage disk of mass my-2m, radii r and R=2r, and 4 radius of inertia i-toward horizontal axes passing through 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 x, 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: R www. www. 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 I motion at x direction); d) the law of the system motion (using the body I motion at x direction).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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