Mechanical system consists of: body 1 of mass m=m; body 3 – two-stage disk of mass m3=4m, radii r and R 3 R=2r, and radius of inertia iz= toward horizontal 4 axes passing through its center; both bodies 4 – equal horizontal springs each of coefficient 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 4 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).
Mechanical system consists of: body 1 of mass m=m; body 3 – two-stage disk of mass m3=4m, radii r and R 3 R=2r, and radius of inertia iz= toward horizontal 4 axes passing through its center; both bodies 4 – equal horizontal springs each of coefficient 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 4 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).
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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Can you please give me a solution to this example or an explanation ?
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In a) why you wrote ( m + 5m) , where that 5m came? You have m1 = m and m3 = 4m in the problem. So it must be (m + 4m), but istead 4m you wrote 5m, why?
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