PROBLEM 3 Mechanical system consists of: body 1 of mass m₁ =m; body 3 two-stage disk of mass m3=8m, radii r and R=2r, and radius of inertia i3=toward horizontal axes passing through 4 2 3 R wwwwww its center; both bodies 4 equal horizontal springs each of coe- fficient 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 equilibrium by small shifting of magnitude xo 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: 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: body 1 of mass m₁ =m; body 3 two-stage disk of mass m3=8m, radii r and R=2r, and radius of inertia i3=toward horizontal axes passing through 4 2 3 R wwwwww its center; both bodies 4 equal horizontal springs each of coe- fficient 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 equilibrium by small shifting of magnitude xo 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: 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).
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.125P: The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A...
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![PROBLEM 3
Mechanical system consists of: body 1 of mass m₁ =m; body 3
two-stage disk of mass m3-8m, radii r and R=2r, and
R
By
its center; both bodies 4 - equal horizontal springs each of coe-
fficient 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
www
out of its equilibrium by small shifting of magnitude xo 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
radius of inertia i3=- toward horizontal axes passing through
4
2
X
3
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eca8f87-4257-4d77-842b-78d46cd31859%2F7b5a871f-1ec8-4ba7-b130-859b164fa161%2F6duvh6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM 3
Mechanical system consists of: body 1 of mass m₁ =m; body 3
two-stage disk of mass m3-8m, radii r and R=2r, and
R
By
its center; both bodies 4 - equal horizontal springs each of coe-
fficient 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
www
out of its equilibrium by small shifting of magnitude xo 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
radius of inertia i3=- toward horizontal axes passing through
4
2
X
3
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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