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7 g L
7. ||02m ||
15
gL
8. ||T2m||
2
9. ||52m|| = /2gL
2 g L
10. ||T2m|
3
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Transcribed Image Text:7 g L 7. ||02m || 15 gL 8. ||T2m|| 2 9. ||52m|| = /2gL 2 g L 10. ||T2m| 3
A rod of mass m and length L is hinged with a
frictionless hinge at one end. The moment of
inertia about the center of mass is -m L².
Attached to the end of the rod opposite to
the hinge there is a mass of magnitude 2 m.
The rod is released from rest in the horizontal
12
position.
m
2m
What is the speed of the mass 2 m when
the rod passes through the vertical position?
Consider the mass at the end of the rod to be
a point particle.
1. ||T2m||
L
2. ||T2m|| = VgL
3. ||T2m| :
5 g L
V
%3D
2
15 g L
V
4. ||T2m|| =
7
3gL
5. ||T2m||
2gL
6. ||T2m|
5
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Transcribed Image Text:A rod of mass m and length L is hinged with a frictionless hinge at one end. The moment of inertia about the center of mass is -m L². Attached to the end of the rod opposite to the hinge there is a mass of magnitude 2 m. The rod is released from rest in the horizontal 12 position. m 2m What is the speed of the mass 2 m when the rod passes through the vertical position? Consider the mass at the end of the rod to be a point particle. 1. ||T2m|| L 2. ||T2m|| = VgL 3. ||T2m| : 5 g L V %3D 2 15 g L V 4. ||T2m|| = 7 3gL 5. ||T2m|| 2gL 6. ||T2m| 5
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