The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.580 kg and its length is 1.80 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. (a) Determine the speed of its center of gravity at its lowest position in m/s. (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.580 kg and its length is 1.80 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. (a) Determine the speed of its center of gravity at its lowest position in m/s. (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.580 kg and its length is 1.80 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.
(a) Determine the speed of its center of gravity at its lowest position in m/s.
(b)
When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.
Check your calculations. m/s
![The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.580 kg and its length is 1.80 m.
When the rod is released from its horizontal position, it swings down to the vertical position as shown.
M
L/2
L• CG
(a) (a) Determine the speed of its center of gravity at its lowest position in m/s.
5.35
Consider the conservation of energy of the center of mass of the rod. What is the relationship between angular and tangential velocities? m/s
(b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.
9.51
Check your calculations. m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b67059-297d-4577-8dba-8a5a889438c7%2F495e5c88-0549-4205-a6e8-71ba9d629ca1%2Fk2resdb_processed.png&w=3840&q=75)
Transcribed Image Text:The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.580 kg and its length is 1.80 m.
When the rod is released from its horizontal position, it swings down to the vertical position as shown.
M
L/2
L• CG
(a) (a) Determine the speed of its center of gravity at its lowest position in m/s.
5.35
Consider the conservation of energy of the center of mass of the rod. What is the relationship between angular and tangential velocities? m/s
(b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.
9.51
Check your calculations. m/s
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