How many degrees-of-freedom does the system shown below has? The two pulleys have the identical mass, radius, and the moment of inertia.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Select the correct FBD for the pulleys. Let s be the stretch in the springs and T's be the tension in the rope.
Find the correct equation(s) of motion.
Transcribed Image Text:Select the correct FBD for the pulleys. Let s be the stretch in the springs and T's be the tension in the rope. Find the correct equation(s) of motion.
Consider the system shown below. Answer Questions 6-11 based on this figure.
How many degrees-of-freedom does the system shown below has? The two pulleys have the identical
mass, radius, and the moment of inertia.
т, 1, R
k
т, 1, R
Variables
x: vertical position of the moving pulley
8: rotation of the moving pulley
p: rotation of the fixed pulley
m: pulley mass
R: pulley radius
I: mass moment of the pulley about its own center of mass.
k: spring stiffness
T: cable tension
Assumptions
1. x = 0, 0 = 0, and o = 0 when the spring is undeformed.
2. The cables and springs have negligible mass.
3. There is no slip between the pulley and the cable.
4. Only two-dimensional planar motion is allowed.
Transcribed Image Text:Consider the system shown below. Answer Questions 6-11 based on this figure. How many degrees-of-freedom does the system shown below has? The two pulleys have the identical mass, radius, and the moment of inertia. т, 1, R k т, 1, R Variables x: vertical position of the moving pulley 8: rotation of the moving pulley p: rotation of the fixed pulley m: pulley mass R: pulley radius I: mass moment of the pulley about its own center of mass. k: spring stiffness T: cable tension Assumptions 1. x = 0, 0 = 0, and o = 0 when the spring is undeformed. 2. The cables and springs have negligible mass. 3. There is no slip between the pulley and the cable. 4. Only two-dimensional planar motion is allowed.
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