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. k т, 1, R т, 1, R Variables x: vertical position of the moving pulley 6: rotation of the moving pulley 9: 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.

Elements Of Electromagnetics
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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.
What is the kinematic relationship between p and 0? Assume all the coordinates are zeros when the spring is
undeformed.
What is the kinematic relationship between x and 0? Assume all the coordinates are zeros when the spring is
undeformed.
Consider the previous problem. What is the stretch in the spring in terms of x? Assume that all the coordinates are
zeros when the spring is undeformed.
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:What is the kinematic relationship between p and 0? Assume all the coordinates are zeros when the spring is undeformed. What is the kinematic relationship between x and 0? Assume all the coordinates are zeros when the spring is undeformed. Consider the previous problem. What is the stretch in the spring in terms of x? Assume that all the coordinates are zeros when the spring is undeformed. 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.
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