PROBLEM 3 3. Mechanical system consists of solid body 1 of mass mm which is connected by non-elastic cord of negligible mass to the disk 2 of mass m,-4m and radius R. A spring 3 of coefficient of elasticity e is www hinged at the center of the disk. The other spring end is fixed. Disk 2 moves on a horizontal fixed plane without sliding. At the initial moment system is turned out of its equilibrium as body 1 is shifted to xo distance at x direction (according to the figure) and it is released without initial velocity. Assuming the system makes small oscillations around its equilibrium, neglecting all resistances, and if m, R, c, xo are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; C₂ e) 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 3. Mechanical system consists of solid body 1 of mass mm which is connected by non-elastic cord of negligible mass to the disk 2 of mass m,-4m and radius R. A spring 3 of coefficient of elasticity e is www hinged at the center of the disk. The other spring end is fixed. Disk 2 moves on a horizontal fixed plane without sliding. At the initial moment system is turned out of its equilibrium as body 1 is shifted to xo distance at x direction (according to the figure) and it is released without initial velocity. Assuming the system makes small oscillations around its equilibrium, neglecting all resistances, and if m, R, c, xo are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; C₂ e) 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).

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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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

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PROBLEM 3
3
Mechanical system consists of solid body 1 of mass
mm which is connected by non-elastic cord of
negligible mass to the disk 2 of mass m, 4m and
radius R. A spring 3 of coefficient of elasticity e is w
hinged at the center of the disk. The other spring end
is fixed. Disk 2 moves on a horizontal fixed plane
without sliding. At the initial moment system is turned
out of its equilibrium as body 1 is shifted to xo distance at x direction (according to the
figure) and it is released without initial velocity. Assuming the system makes small
oscillations around its equilibrium, neglecting all resistances, and if m, R, c, xo 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 1 motion at x direction);
d) the law of the system motion (using the body 1 motion at x direction).
R
Q
2

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