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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

A rigid door is hinged along a vertical axis. A constant force \( F \) of given magnitude is to be applied to open the door. Which of the following conditions ensures that the torque produced about the hinge line is maximum?

  1. Force is applied at the outer edge, parallel to the plane of the door.
  2. Force is applied close to the hinge line, perpendicular to the plane of the door.
  3. Force is applied at the outer edge, perpendicular to the plane of the door.
  4. Force is applied directly on the hinge line at an angle of \( 45^\circ \).

Correct answer · Option 3

Force is applied at the outer edge, perpendicular to the plane of the door.

Explanation

Torque is \( \tau = r F \sin\theta \). To maximize torque, the lever arm \( r \) must be maximum (at the outer edge) and the angle \( \theta \) must be \( 90^\circ \) (perpendicular to the door).
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