A force was applied on a door in four ways. From the given top views for the door, the representation for zero torque is:
A force was applied on a door in four ways. From the given top views for the door, the representation for zero torque is: Correct Answer <img alt="F1 Jitendra Kumar Anil 05.04.21 D7" src="//storage.googleapis.com/tb-img/production/21/04/F1_Jitendra%20Kumar_Anil_05.04.21_D7.png" style="width: 138px; height: 137px;">
The correct answer is option 1)
CONCEPT:
- Torque: Torque is the turning effect produced on an object due to a force acting on it at a distance from a fixed point. The object tends to turn about this fixed point.
- It is defined mathematically as the cross product of force and the perpendicular distance to an axis of rotation.
- Consider a fore F acting at a distance r from a fixed point O as shown.
The torque produced is given by:
τ = r × F = rFsinθ
- The SI unit of torque is N-m.
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- Movement of doors: Doors have a fixed axis of rotation for their movement. The hinges provided on the edges of the doors help in the turning motion. When a force is applied on the doorknob, the perpendicular distance between the hinges and the doorknob acts as the moment arm.
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EXPLANATION:
Torque = Moment arm × Force applied = r × F = rFsinθ
Hence, the torque produced will be zero if:
- either moment arm or force applied is zero
- the angle between moment arm and force is zero.
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