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A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass in is suspended from its end A. A set of (in, x) values is recorded. The appropriate variables that give a straight line, when plotted, are: 
  • a)
  • b)
    m, x
  • c)
  • d)
    m, x2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A uniform rod AB is suspended from a point X, at a variable distance x...
Let, AB = L
com of rod = L/2(marked as point C)
CX =(L/2 - x)

For tranlational equilibrium,

T = mg + Mg , M = mass of rod

For rotational equilibrium,

Torque due to mg = Torque due to Mg

mgx = Mg(L/2 - x)

mx = M(L/2 - x)

m = M/x(L/2 - x)

m = [(ML/2) × (1/x)] - M. (1)

Note:- (ML/2) & M in (1) are constant

i.e, for straight line curve "m" must directly proportional to (1/x)

Ans. (m,1/x)
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Community Answer
A uniform rod AB is suspended from a point X, at a variable distance x...

= y = mx + c
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A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass in is suspended from its end A. A set of (in, x) values is recorded. The appropriate variables that give a straight line, when plotted, are:a)b)m, xc)d)m, x2Correct answer is option 'C'. Can you explain this answer?
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A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass in is suspended from its end A. A set of (in, x) values is recorded. The appropriate variables that give a straight line, when plotted, are:a)b)m, xc)d)m, x2Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass in is suspended from its end A. A set of (in, x) values is recorded. The appropriate variables that give a straight line, when plotted, are:a)b)m, xc)d)m, x2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform rod AB is suspended from a point X, at a variable distance x from A, as shown. To make the rod horizontal, a mass in is suspended from its end A. A set of (in, x) values is recorded. The appropriate variables that give a straight line, when plotted, are:a)b)m, xc)d)m, x2Correct answer is option 'C'. Can you explain this answer?.
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