Question
Medium
Solving time: 2 mins
A rod of length L is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane. Let and be the tensions at the points L/4 and 3L/4 away from the pivoted ends.
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Text solutionVerified
(a)
Let the angular velocity of the rod be .
Distance of the centre of mass of portion of the rod on the right side of L/4 from the pivoted end :
Mass of the rod on the right side of L/4 from the pivoted end :
At point L/4, we have :
Distance of the centre of mass of rod on the right side of from the pivoted end :
Mass of the rod on the right side of from the pivoted end :
At point , we have :
Let the angular velocity of the rod be .
Distance of the centre of mass of portion of the rod on the right side of L/4 from the pivoted end :
Mass of the rod on the right side of L/4 from the pivoted end :
At point L/4, we have :
Distance of the centre of mass of rod on the right side of from the pivoted end :
Mass of the rod on the right side of from the pivoted end :
At point , we have :
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Uploaded on: 11/26/2022
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Uploaded on: 9/5/2023
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Question Text | A rod of length L is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane. Let and be the tensions at the points L/4 and 3L/4 away from the pivoted ends. |
Updated On | Sep 5, 2023 |
Topic | System of Particles and Rotational Motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 8 |
Upvotes | 939 |
Avg. Video Duration | 8 min |