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5) A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end as shown in question 4 above. The rod is released from rest in the horizontal position. a) What is its angular speed when it reaches its lowest position? b) Determine the linear speed of the center of mass and the linear speed of the lowest point on the rod when it is in the vertical position. 3g b) Center of mass speed =V3gl L Answer: a) Linear speed of the lowest point = /3gL

5) A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end as shown in question 4 above. The rod is released from rest in the horizontal position. a) What is its angular speed when it reaches its lowest position? b) Determine the linear speed of the center of mass and the linear speed of the lowest point on the rod when it is in the vertical position. 3g b) Center of mass speed =V3gl L Answer: a) Linear speed of the lowest point = /3gL

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A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end as shown in question 4 above. The rod is released from rest in the horizontal position. a) What is its angular speed when it reaches its lowest position? b) Determine the linear speed of the center of mass and the linear speed of the lowest point on the rod when it is in the vertical position.
(Hint, use mechanical energy conservation)

5) A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end as shown in question 4 above. The rod is released from rest in the horizontal position. a) What is its angular speed when it reaches its lowest position? b) Determine the linear speed of the center of mass and the linear speed of the lowest point on the rod when it is in the vertical position. 3g Answer: a) V L b) Center of mass speed =- 3gl ; Linear speed of the lowest point = /3gL (Hint, use mechanical energy conservation)
Transcribed Image Text:5) A uniform rod of length L and mass M is free to rotate on a frictionless pin passing through one end as shown in question 4 above. The rod is released from rest in the horizontal position. a) What is its angular speed when it reaches its lowest position? b) Determine the linear speed of the center of mass and the linear speed of the lowest point on the rod when it is in the vertical position. 3g Answer: a) V L b) Center of mass speed =- 3gl ; Linear speed of the lowest point = /3gL (Hint, use mechanical energy conservation)
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