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In this lesson, we will learn how to use the equivalence of two couples to solve different problems.

Q1:

is a horizontal light rod having a length of 60 cm, where two forces, each of magnitude 45 N, are acting vertically at and in two opposite directions. Two other forces, each of magnitude 120 N, are acting in two opposite directions at points and of the rod, where . If they form a couple equivalent to the couple formed by the first two forces, find the size of the angle of inclination that the second two forces make with the rod.

Q2:

As shown in the figure, π΄ π΅ πΆ π· is a square of side length 1 m. Two forces, each of magnitude 16 kg-wt, are acting along ο« π΄ π΅ and ο« πΆ π· , and another two forces, each of magnitude πΉ , are acting at π΅ and π· , where one of them makes an angle of 1 5 β with οͺ π΅ πΆ , and the other makes an angle of 1 5 β with ο« π· π΄ . If the couple formed by the first two forces is equivalent to that formed by the other two, determine the magnitude of πΉ and round to two decimal places.

Q3:

is a parallelogram in which , , and the diagonal is perpendicular to . If two forces, each of magnitude 7 N, are acting along and , find the magnitude of each of the two forces and that act at and perpendicularly to the diagonal so that they form a couple equivalent to the couple by the two forces mentioned earlier.

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