Question
Medium
Solving time: 3 mins
Three equal masses of each are fixed at the vertices of an equilateral triangle .
(a) What is the force acting on a mass placed at the centroid of the triangle?
(b) What is the force if the mass at the vertex is doubled?
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Text solutionVerified
(a) The angle between GC and the positive -axis is and so is the angle between GB and the negative -axis. The individual forces in vector notation are
From the principle of superposition and the law of vector addition, the resultant gravitational force on is
Alternatively, one expects on the basis of symmetry that the resultant force ought to be zero.
(b) Now if the mass at vertex A is doubled then
From the principle of superposition and the law of vector addition, the resultant gravitational force on is
Alternatively, one expects on the basis of symmetry that the resultant force ought to be zero.
(b) Now if the mass at vertex A is doubled then
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Three equal masses of each are fixed at the vertices of an equilateral triangle .
(a) What is the force acting on a mass placed at the centroid of the triangle?
(b) What is the force if the mass at the vertex is doubled?
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(a) What is the force acting on a mass placed at the centroid of the triangle?
(b) What is the force if the mass at the vertex is doubled?
Take
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Question Text | Three equal masses of each are fixed at the vertices of an equilateral triangle . (a) What is the force acting on a mass placed at the centroid of the triangle? (b) What is the force if the mass at the vertex is doubled? Take |
Updated On | Apr 14, 2023 |
Topic | Gravitation |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 8 |
Upvotes | 907 |
Avg. Video Duration | 11 min |