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In this lesson, we will learn how to find the resultant of two or more couples.

Q1:

π΄ π΅ πΆ π· is a square with sides of length 28 cm. Two forces of magnitude 117 N act along ο« π΄ π΅ and ο« πΆ π· , and two other forces of magnitude of 177 N act along ο« π΄ π· and οͺ πΆ π΅ as shown in the figure. Find the algebraic measure of the moment of the resultant couple.

Q2:

π΄ π΅ πΆ is a lamina in the shape of an isosceles triangle, where π΄ π΅ = π΄ πΆ = 1 3 c m and π΅ πΆ = 1 0 c m . It rotates freely in a vertical plane about a fixed hinge at π΄ . A couple with moment of magnitude 67 Nβ cm acts on the lamina to keep it in equilibrium with π΄ π΅ vertical. Find the weight of the lamina given that it acts at the point of intersection of its medians.

Q3:

π΄ π΅ πΆ π· is a square with a side length of 18 cm, where forces of magnitudes 32 N, πΉ N, 32 N, and πΉ N are acting along ο« π΅ π΄ , οͺ π΅ πΆ , ο« π· πΆ , and ο« π· π΄ , respectively. If the four forces are equivalent to a couple, where the magnitude of its moment is 90 Nβ cm in the direction of π΄ π· πΆ π΅ , determine the magnitude of πΉ .

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