a)kinetic energy of the system b)total power of the forces acting upon the systemc)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) www Mechanical system consists of: body I of mass m m: bady 3two-stage disk of mass 6m. radii and R-2r. andwwwradius of inertia toward horizontal aves passing throughits center, both bodies 4- equal horizontal springs cach of coe-tlicient of elasticity c. An ideal cord 2 connects body I andbody 3. Disk 3 moves by its small drum on a fixed horizontalplane without sliding. At the initial moment system is turnedout of its cquilibrium by small shifting of magnitude x of the body 1 in the x direction (according to thefigure) and released with initial velocity of magnitude Assuming the system makes small oscillationsaround its equilibrium, neglecting resistance forces, and e.r,c are positive constants, find:a) kinetic energy of the system;b) total power of the forces octing 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).

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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)

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

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)

Mechanical system consists of: body I of mass m m: bady 3
two-stage disk of mass 6m. radii and R-2r. and
www
radius of inertia toward horizontal aves passing through
its center, both bodies 4- equal horizontal springs cach of coe-
tlicient 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 e.r,c are positive constants, find:
a) kinetic energy of the system;
b) total power of the forces octing 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).

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