Question:

A couple produces

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A couple defined more than two forces operating on a body in equal and opposing directions with an interval between their lines of action.

Updated On: Apr 27, 2024
  • purely translational motion
  • purely rotational motion
  • both translational and rotational motion
  • no motion
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The Correct Option is B

Approach Solution - 1

A couple defined more than two forces operating on a body in equal and opposing directions with an interval between their lines of action.

The pair is exerting no force as a consequence. As a result, the item does not travel linearly. 

As a result, the coupling just causes the item to rotate.

Discover More Topics From This Chapter: System Of Particles & Rotational Motion
 

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The Correct Answer is (B)

Real Life Applications

Few applications are: 

  • The driver of an automobile turning the steering wheel.
  • Turning on and off a water tap or adjusting an alarm clock's spring.
  • Using a key to open the locker removing and replacing a water bottle or jug's cap.
  • Disengaging a screwdriver.
Rotational Motion Applications

Question can also be asked as

  • What does a couple produce?
  • What is the effect of a couple?
  • What kind of motion does a couple produce?
  • Can a couple produce linear motion?
  • Can a couple produce rotational motion?
  • What is the difference between a couple and a force?
  • How does a couple produce torque?
  • What are the applications of couples?
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The Correct Answer is (B)

If both hands are free to operate a rod of length l. 

  • One hand pulls on one of the rod's ends while the other hand pulls on the opposite hand.
  • These two forces are of equal strength and move in the opposite direction.
  • The item rotates as a result of these two forces.
  • The pair of forces is expressed mathematically as τ=Fr
  • where r is the distance and F is the force.

Calculation of Torque

  • τ= F.r. sin can be used to refer to torque.
  • The vector product of force and position vector, resulting in, τ = r x F

Calculation of Couple

  • A pair is often a combination of two parallel, equal forces that act in opposition to one another.
  • It has the same magnitude but travels in the opposite direction, as a result of a perpendicular distance.
  • This equation, MC = r * F, frequently makes use of vector analysis.
  • Now that both forces are acting at a considerable distance from one another, a moment is created.
  • Any of the two forces produced by a couple multiplied by the product of their respective perpendicular distances can be used to determine a couple's moment.
  • Couples and torque share some similarities.
  • This indicates that they are both accountable for the creation of an object's rotating motion.
  • The forces often experienced in a pair are of equal size but are directed in opposite directions, making the net resultant force zero.

Also Read: 

Related Topics

Unit of TorqueTorque FormulaAngular acceleration
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