is a square with sides of length 28 cm. Two forces of magnitude 117 N act along and , and two other forces of magnitude of 177 N act along and as shown in the figure. Find the algebraic measure of the moment of the resultant couple.
is a lamina in the shape of an isosceles triangle, where and . It rotates freely in a vertical plane about a fixed hinge at . A couple with moment of magnitude 67 N⋅cm acts on the lamina to keep it in equilibrium with vertical. Find the weight of the lamina given that it acts at the point of intersection of its medians.
is a square with a side length of 18 cm, where forces of magnitudes 32 N, N, 32 N, and N are acting along , , , and , respectively. If the four forces are equivalent to a couple, where the magnitude of its moment is 90 N⋅cm in the direction of , determine the magnitude of .