What is constrained motion?
When anything is allowed to move in a limited manner, it is considered to be in constrained motion. It could have to slide on a table that accelerates upward, go down a curving track, maintain touch with an accelerating wedge, etc.
when a particle receives externally generated forces that cause it to go along a particular path. Constraints are the limitations placed on a system of particles’ velocity, setting, or both.
Constraint forces are the forces that the object that is confining it applies to the object in order to make it follow the movement limitations.
An object’s motion has been restricted by constraint forces. Constrained motion can be defined as the speed that cannot move openly in any way, the motion that we desire to occur, or simply the required motion. For instance, constrained motion would be the motion that a fan produces if we want it to travel in a circular motion.
Simple instances of this type of motion are:
A particle traveling on an inclined plane that is smooth or rough,
A particle moving with gravity along a curve,
a particle that is made to travel in a specific manner by being attached to one end of a string.
Let’s say we wish to move an automobile in a straight route, but it is currently traveling on a curved path. We can control it and make it move in a straight way by force. Motion in a straight line is limited motion.
Cycling is the ideal illustration. The pair that the cycle created is the input there. The back wheel rotating is the output.
How Does Constrained Motion Works?
A condition whereby a body is limited in all directions yet allowed to move in one can be referred to as constrained motion. This suggests that there are limitations on the object’s movement.
The rotary motion of a ceiling fan is a typical demonstration of this. The constrained force is the force that the constraining object exerts on the specific item to make sure it complies with the movement limits.
Motion can be classified into three types: Completely Constrained Motion, Partially or Successfully Constrained Motion, and Insufficiently Constrained Motion.
Completely constrained motion refers to motion between a pair of objects that is limited to a single direction, regardless of the direction of force applied. For example, a piston and cylinder in a steam engine can move in a circular hole with collars on both ends, allowing the piston to rotate in relation to the cylinder. Examples of fully restricted movements include a square bar moving within a square hole or a piston in a circular hole with collars on both ends.
Incompletely constrained motion, on the other hand, refers to motions that have numerous directions in which a pair of objects can move. Examples of insufficiently constrained motion include a circular shaft or strip in a circular hole, which can slide or rotate inside the hole, indicating that there is no relation between the two motions.
In summary, motion can be categorized into three types: Completely Constrained Motion, Partially or Successfully Constrained Motion, and Insufficiently Constrained Motion.