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 is hanging from one end of a uniform rod of mass and length pivoted at its end on a vertical wall as shown in figure. It is supported by a cable such that the system is in equilibrium. The tension in the cable is:
(Take )
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Let 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
Tsin30 ° \times 60 = mg \times 50 + 8g \times 100\dfrac{T}{2} \times 60 = 20 \times 50 + 80 \times 100⇒ 3T = 100 + 800⇒ 300N.