is a trapezoid in which sides and are parallel, , , and . Forces of magnitude , 2, , 8, and newtons are acting along , , , , and , respectively. If the resultant of the moments of the forces about is zero, and the resultant of the moments of the forces about equals that about , calculate the values of and .
is an isosceles triangle in which and . Forces of magnitudes 4, 8, and newtons are acting along , , and respectively. Find the magnitude of sum of the forces moments about the midpoint of .
is a regular hexagon, where forces of magnitudes 9, 12, 3, 1, 11, and 16 newtons are acting along , , , , , and respectively. Determine the magnitude of the additional force that would need to act along so that the algebraic sum of moments about becomes zero.
Five known forces, measured in newtons, are acting on the square , with side length 17 cm. A sixth force will be applied at the midpoint of , and perpendicular to it, as shown in the figure. Firstly, determine the algebraic sum of the moments of the forces (excluding ) about . Secondly, determine the value of that would make the algebraic sum of the moments about equal to zero.
is a trapezoid with a right-angle at , where , and . If is drawn perpendicular to the plane of the trapezoid, and a force of magnitude 117 N is acting along , find the moment of the force about .
In the figure, , and . When force acts on wire , the magnitude of the moment about is 1 959 N⋅m. Find the magnitude of force rounded to two decimal places.
is a triangle with a right-angle at , where and . A force is acting in the plane of the triangle, where and . Determine the magnitude and the line of action of .
Determine, to the nearest newton meter, the magnitude of the moment of the force about point , given that the force has a magnitude of N.
Given that two parallel forces, each having a magnitude of 26 N, are acting on a lever as shown in the figure, where , , and , find the algebraic measure of the sum of the moments of the two forces about point .
is a rectangle, where and . A force is acting in the plane of the rectangle, where its moment about equals its moment about , which equals N⋅cm, and its moment about is 108 N⋅cm. Determine the magnitude and the direction of .
is a force in the plane of parallelogram . The sum of the moments about , units of moment. The sums of the moments about and are units of moment. Determine the sum of the moments about , .
Find the size of angle , rounded to the nearest minute, so that the moment of the force about has its minimum value.