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).
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 10.51P: The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest...
Related questions
Question
Solve the problem
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
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
VIEWSolution
VIEWStep by step
Solved in 6 steps with 45 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L