PROBLEM 3 Mechanical system consists of body I of mass m: bady 3 two-stage disk of mass my 6m. tadi and R-2r, and radius of inertia toward horizontal axes passing through its center. both bodies 4-equal horizontal springs cach of coe- ficient 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 cquilibrium 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 Assuming the system makes small oscillations around its equilibrium, neglecting resistance forces, and er.r, c are positive constants, find: a) kinctic 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 xdirection) d) the law of the system motion (using the body I motion at x direction).

PROBLEM 3 Mechanical system consists of body I of mass m: bady 3 two-stage disk of mass my 6m. tadi and R-2r, and radius of inertia toward horizontal axes passing through its center. both bodies 4-equal horizontal springs cach of coe- ficient 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 cquilibrium 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 Assuming the system makes small oscillations around its equilibrium, neglecting resistance forces, and er.r, c are positive constants, find: a) kinctic 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 xdirection) 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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Question

PROBLEM 3
Mechanical system consists of: body I of mass m: body 3
two-stage disk of mass y 6m, tadii and R-2r. and
radius of inertia f toward horizontal axes passing through
its center. hoth bodies 4-equal horizontal springs cach of coe-
ficient 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 cquilibrium 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 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 I motion at x direction)
d) the law of the system motion (using the body I motion at x direction).

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