Calculate the resultant couple of the following three couples: 20 kg force with a 0.5 m arm acting in the negative direction, 30 kg force with a 1 m arm acting in the negative direction, and 40 kg force with a 0.25 m arm acting in the positive direction. The arm length for the resultant couple is 0.5 m. What is the magnitude and direction of the resultant couple?

Engineering Mechanics MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Engineering Mechanicsmechanical-engineering-mcqs › engineering-mechanics
Published
25 Jan 2019
Last updated
28 May 2026

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Explanation

To find the resultant couple, multiply each force by its arm length, considering their directions: (20 × 0.5) negative, (30 × 1) negative, and (40 × 0.25) positive. Summing these moments gives the net moment. Dividing this net moment by the resultant arm length (0.5 m) yields the magnitude and direction of the resultant couple, which is 20 kg acting in the negative direction.

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