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 0.480 kg and its length is 1.20 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. L/2 L. CG (a) (a) Determine the speed of its center of gravity at its lowest position in m/s. m/s (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s. 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 0.480 kg and its length is 1.20 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.

The diagram includes:
- A rod labeled with length \( L/2 \) and a center of gravity (CG) marked.
- An arrow indicating the direction of motion of the rod as it swings downward.

Questions:
(a) Determine the speed of its center of gravity at its lowest position in m/s.
   
   [Input box for answer] m/s

(b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s.

   [Input box for answer] m/s
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 0.480 kg and its length is 1.20 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. The diagram includes: - A rod labeled with length \( L/2 \) and a center of gravity (CG) marked. - An arrow indicating the direction of motion of the rod as it swings downward. Questions: (a) Determine the speed of its center of gravity at its lowest position in m/s. [Input box for answer] m/s (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s. [Input box for answer] m/s
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