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rod of Mass (Mand lenath L=libm lis pivoted about ane end and oscillates in a . tind the Deriod of oscillation amplitude of the P a Motion is Small, A unifurm Vertical Plane. :r the n

rod of Mass (Mand lenath L=libm lis pivoted about ane end and oscillates in a . tind the Deriod of oscillation amplitude of the P a Motion is Small, A unifurm Vertical Plane. :r the n

College Physics
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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Need help on this question. The anwser should be 2.07

A uniform rod of mass \( M \) and length \( L = 1.6 \, \text{m} \) is pivoted about one end and oscillates in a vertical plane. Find the period of oscillation if the amplitude of the motion is small.
Transcribed Image Text:A uniform rod of mass \( M \) and length \( L = 1.6 \, \text{m} \) is pivoted about one end and oscillates in a vertical plane. Find the period of oscillation if the amplitude of the motion is small.
The diagram illustrates a lever system with a pivot point labeled "O." The lever is shown inclined at an angle with dimensions indicated as \( l \) and \( L \) along its length. The center of mass (CM) is marked on the lever with a red cross, and a blue arrow labeled \( Mg \) points downward from it, indicating the force of gravity acting on the mass. **Details:** - **Pivot O:** The fixed point around which the lever rotates. - **Dimensions \( l \) and \( L \):** Represent lengths along the lever. \( l \) is closer to the CM, while \( L \) is the full length from the pivot to the end. - **Center of Mass (CM):** The point on the lever where its mass is considered concentrated. - **Force Mg:** The gravitational force acting downward at the center of mass. This diagram is typically used to explain concepts in rotational dynamics, illustrating how forces and torques act on a lever system.
Transcribed Image Text:The diagram illustrates a lever system with a pivot point labeled "O." The lever is shown inclined at an angle with dimensions indicated as \( l \) and \( L \) along its length. The center of mass (CM) is marked on the lever with a red cross, and a blue arrow labeled \( Mg \) points downward from it, indicating the force of gravity acting on the mass. **Details:** - **Pivot O:** The fixed point around which the lever rotates. - **Dimensions \( l \) and \( L \):** Represent lengths along the lever. \( l \) is closer to the CM, while \( L \) is the full length from the pivot to the end. - **Center of Mass (CM):** The point on the lever where its mass is considered concentrated. - **Force Mg:** The gravitational force acting downward at the center of mass. This diagram is typically used to explain concepts in rotational dynamics, illustrating how forces and torques act on a lever system.
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Given:

Mass of the rod = M

Length of rod l = 1.6 m.

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