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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

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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7 g L 7. ||02m || 15 gL 8. ||T2m|| 2 9. ||52m|| = /2gL 2 g L 10. ||T2m| 3
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
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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