Question
Medium
Solving time: 3 mins
A uniform cylinder of length and mass having cross-sectional area is suspended with its length vertical from a fixed point by a massless spring such that it is half submerged in a liquid of density at equilibrium position. The extension of the spring when it is in equilibrium, is (a) (b) (c) (d)
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Text solutionVerified
Exp. (c)
The various forces acting on the cylinder are shown in the figure.
Let be the extension in spring.
At equilibrium, Upward forces Downward forces
where, is spring constant, is force due to buoyancy which is equal to weight of liquid displaced.
The various forces acting on the cylinder are shown in the figure.
Let be the extension in spring.
At equilibrium, Upward forces Downward forces
where, is spring constant, is force due to buoyancy which is equal to weight of liquid displaced.
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Question Text | A uniform cylinder of length and mass having cross-sectional area is suspended with its length vertical from a fixed point by a massless spring such that it is half submerged in a liquid of density at equilibrium position. The extension of the spring when it is in equilibrium, is
(a)
(b)
(c)
(d) |
Updated On | Apr 26, 2023 |
Topic | Laws of motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 4 |
Upvotes | 500 |
Avg. Video Duration | 6 min |