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 c is H 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: R C₂ 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 I motion at x direction); d) the law of the system motion (using the body I 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 c is H 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: R C₂ 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 I motion at x direction); d) the law of the system motion (using the body I motion at x direction).
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.46P: The uniform bar AB of weight W and length L is pinned to a sliding collar at A and to the sliding...
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