Lesson: Equilibrium of a Rigid BodyMathematics
In this lesson, we will learn how to solve problems about the equilibrium of rigid bodies in 2D where the sum of forces and the sum of moments equal zero.
Sample Question Videos
Worksheet: 25 Questions • 1 Video
is a uniform ladder with weight 177 N. End rests on rough horizontal ground and end rests against a smooth vertical wall. The ladder is inclined to the horizontal at an angle of , and the coefficient of friction between the ground and the ladder is . Find the maximum weight that can be suspended from without the ladder slipping.
A uniform rod of weight 10 N and length 12.5 m is resting with its end on a rough horizontal plane and point (between and ) resting against a smooth horizontal nail, which is 5.7 m above the horizontal plane. If the rod is about to slide when it is inclined to the horizontal at an angle whose tangent is , determine the coefficient of friction between the rod and the horizontal plane.
In the figure, a uniform rod of length 104 cm and weight 8 N is attached to a hinge against a vertical wall, while its free end is attached by a light rope to a point on the wall directly above the hinge. Another body weighing 6 N is suspended from the rod as shown in the figure. If the rod is in a horizontal static equilibrium, find the magnitude of the reaction of the wall to the hinge rounded to one decimal place and its direction from the horizontal rounded to the nearest minute.