PROBLEM 3 Mechanical system consists of solid body 1 of mass mm which is connected by non-clastic cord of negligible mass to the disk 2 of mass m, 4m and radius R. A spring 3 of coefficient of elasticity c is hinged at p. A, at distance AC = R/2 from 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: R w Al [R/2 2 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 solid body 1 of mass mm which is connected by non-clastic cord of negligible mass to the disk 2 of mass m, 4m and radius R. A spring 3 of coefficient of elasticity c is hinged at p. A, at distance AC = R/2 from 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: R w Al [R/2 2 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).
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Transcribed Image Text:PROBLEM 3
Mechanical system consists of solid body 1 of mass
m₁ m which is connected by non-clastic cord of
negligible mass to the disk 2 of mass m, 4m and radius
R. A spring 3 of coefficient of elasticity e is hinged at
p. A, at distance AC = R/2 from 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:
3
T
[R/2
2
1
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).
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Step 1: Determine kinetic energy, total power of the forces, differential equation, law of the system motion
VIEWStep 2: Determine kinetic energy of the system
VIEWStep 3: Determine total power of the forces acting upon the system
VIEWStep 4: Determine differential equation of the system motion
VIEWStep 5: Determine the law of system motion
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