An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 15.0 kg, a radius of 0.400 m, and a length of 0.600 m. The mass of the end of the barrel equals a third of the mass of its side, and the thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s². What is the translational speed vf of the barrel at the bottom of the hill if released from rest at a height of 31.0 m above the bottom?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
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Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....
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An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 15.0 kg, a
radius of 0.400 m, and a length of 0.600 m. The mass of the end of the barrel equals a third of the mass of its side, and the
thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s².
What is the translational speed vg of the barrel at the bottom of the hill if released from rest at a height of 31.0 m above
the bottom?
Uf =
m/s
Transcribed Image Text:An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 15.0 kg, a radius of 0.400 m, and a length of 0.600 m. The mass of the end of the barrel equals a third of the mass of its side, and the thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s². What is the translational speed vg of the barrel at the bottom of the hill if released from rest at a height of 31.0 m above the bottom? Uf = m/s
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