Which of the following statements is incorrect? (a) A pair...

Name: Problem 34, Chapter 7: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-11-11T15:44:19-08:00
Duration: 2 min 10 s
Channel: Akshaya Rs
Description: Which of the following statements is incorrect? (a) A pair of equal and opposite forces with different lines of action is known as couple. (b) A couple produces rotation without translation. (c) When we open the lid of a bottle by turning it, our fingers apply a couple to the lid. (d) Moment of a couple depends on the point about which we take the moment.

Which of the following statements is incorrect? (a) A pair of equal and opposite forces with different lines of action is known as couple. (b) A couple produces rotation without translation. (c) When we open the lid of a bottle by turning it, our fingers apply a couple to the lid. (d) Moment of a couple depends on the point about which we take the moment.

Which of the following statements is incorrect?
(a) A pair of equal and opposite forces with different lines of action is known as couple.
(b) A couple produces rotation without translation.
(c) When we open the lid of a bottle by turning it, our fingers apply a couple to the lid.
(d) Moment of a couple depends on the point about which we take the moment.

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Key Concepts

Force Couple

A force couple refers to a pair of equal and opposite forces whose lines of action are parallel but do not coincide. This configuration produces a turning effect or rotation without causing any linear (translational) movement in the object, which is a fundamental concept in mechanics.

Moment of a Couple

The moment of a couple is the measure of its rotational effectiveness. It is calculated as the product of the magnitude of one of the forces and the perpendicular distance between their lines of action, known as the moment arm. A key property of the moment of a couple is that it is invariant; that is, it remains the same regardless of the point about which the moment is calculated.

Rotation Without Translation

Rotation without translation is the phenomenon where an object rotates due to applied forces without undergoing any linear movement. This occurs when forces are applied in such a way that their net force is zero but their moment (or torque) about a point is nonzero, as is the case with a force couple.

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