Assume it is pin connected on either end. The horizontal reaction would be 10 lbs. And the vertical reaction +10 lbs at one support and -10 lbs at the other.
A force couple supported by line is a type of mechanical system in which two equal and opposite forces are applied at different points on a rigid body, causing it to rotate around a fixed point or axis. The forces are parallel to each other and act along the same line, creating a moment or torque that causes the rotation.
A single force acting on a body will cause it to translate or move in a straight line, while a force couple will cause the body to rotate around a fixed point. Additionally, a force couple requires the application of two equal and opposite forces, while a single force can be of any magnitude and direction.
One common example is a pair of pliers, in which the handles provide two parallel forces that allow the user to grip and rotate objects. Another example is a wrench, in which opposing forces are applied to the bolt or nut, causing it to rotate and loosen or tighten. Force couples are also present in many sports, such as rowing, where the oars create a force couple to propel the boat forward.
The line of action refers to the imaginary line along which the forces in a force couple act. This line determines the direction and magnitude of the resulting moment or torque. It is important to note that the line of action must be perpendicular to the axis of rotation in order to produce a pure rotation without any translational motion.
The magnitude of the moment created by a force couple is equal to the product of one of the forces and the perpendicular distance between the forces. This distance is also known as the lever arm or moment arm. The direction of the moment is determined by the right-hand rule, where the thumb points in the direction of one of the forces and the fingers curl in the direction of the moment.