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JEE Main 202325 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2023 · 25 January · Morning Shift · Physics · Rotational Motion

An object of mass 8kg is hanging from one end of a uniform rod CD...

An object of mass 8kg8kg is hanging from one end of a uniform rod CDCD of mass 2kg2kg and length 1m1m pivoted at its end CC on a vertical wall as shown in figure. It is supported by a cable ABAB such that the system is in equilibrium. The tension in the cable is:

(Take g=10ms−2g = 10m{s}^{- 2})

An object of mass 8kg is hanging from one end of a uniform rod CD of mass 2kg and length 1m pivoted at its end C on a

Options

  1. A240N240N
  2. B90N90N
  3. C300N300N
  4. D30N30N

Correct answer

C. 300N300N

Step-by-step solution

An object of mass 8kg is hanging from one end of a uniform rod CD of mass 2kg and length 1m pivoted at its end C on a

Let TT be the tension in cable.

Since the system is at equilibrium, the net torque, about an axis perpendicular to the plane and passing through the point of contact of the rod and the wall, is zero. Therefore, torque about point CC

Tsin30 ° \times 60 = mg \times 50 + 8g \times 100</p><p></p><p>\dfrac{T}{2} \times 60 = 20 \times 50 + 80 \times 100</p><p></p><p>⇒ 3T = 100 + 800</p><p></p><p>⇒ 300N.

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