One of the characteristics of a couple is that it can cause a body to ...
True. A couple is a system of forces that consists of two equal and opposite forces that act on a body but do not pass through the same point. A couple can cause a body to rotate or move in a particular direction, depending on the relative orientation and magnitude of the forces. One of the characteristics of a couple is that it can cause a body to move in the direction of the greater force. For example, if a couple consists of two forces that act on opposite ends of a lever, the lever will rotate in the direction of the force with the greater magnitude. Similarly, if a couple consists of two forces that act on opposite sides of a beam, the beam will rotate or translate in the direction of the force with the greater magnitude.
One of the characteristics of a couple is that it can cause a body to ...
True.
The statement is true. When a couple is applied to a body, it can cause the body to move in the direction of the greater force. To understand this concept, it is important to have a clear understanding of couple and its characteristics.
What is a couple?
A couple is a system of forces that consists of two equal and opposite forces acting on a body, but not in the same line of action. These forces create a moment that tends to rotate the body. The distance between the forces is known as the arm of the couple.
Characteristics of a couple:
1. Equal and opposite forces: A couple consists of two forces that are equal in magnitude and opposite in direction. The forces act along parallel lines but do not lie in the same line of action.
2. Parallel forces: The forces that make up a couple are parallel to each other. This means that they have the same line of action but are separated by a distance.
3. Moment or torque: The couple produces a moment or torque, which tends to rotate the body. The magnitude of the moment is given by the product of one of the forces and the perpendicular distance between the forces.
Effect of a couple on body movement:
When a couple is applied to a body, it creates a rotational effect rather than a translational effect. The body tends to rotate about an axis perpendicular to the plane containing the couple. However, if there are other forces acting on the body, the body may also experience translational motion.
The greater force and body movement:
When a couple is applied to a body, the direction of body movement will depend on the relative magnitudes of the forces in the couple and other external forces acting on the body. If the couple forces are greater than the external forces, the body will tend to rotate in the direction of the greater force in the couple. On the other hand, if the external forces are greater, the body may not rotate or may rotate in the opposite direction.
In conclusion, a couple can cause a body to move in the direction of the greater force when the couple forces are greater than the external forces. The rotational effect of the couple creates a tendency for the body to rotate, but the actual movement will depend on the balance of forces acting on the body.