Lesson Worksheet: Moment of a Couple Mathematics

What is a couple?

If the norm of the moment of a couple is 750 N⋅m, and the magnitude of one of its two forces is 50 N, determine the length of the moment arm.

In the figure below, and and form a couple. Find the algebraic measure of the moment of that couple.

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 measure of the angle of inclination that the second two forces make with the rod.

Given that and are two forces which form a couple, where , determine .

Given that two forces and are acting at two points and respectively to form a couple, find the perpendicular distance between the two forces.

Given that the forces in the figure have magnitudes of 56, 105, and 242 newtons, find the algebraic measure of the resultant couple.

is a square of side length 8 cm, where two forces of magnitudes 21 N are acting at and respectively, and their lines of action are in the direction of and respectively. Determine the magnitude of the moment of the couple.

is a rhombus in which its diagonal and . Given that two equal forces, each of magnitude 45 N, are acting along and respectively, find the magnitude of the moment of the couple rounded to two decimal places if necessary.

is a regular hexagon with sides of length 5 cm. Two forces of the same magnitude 13 N are acting along and , respectively. Determine the magnitude of the moment of the couple.