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roshan2004
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How many constraints are there when the particle is moving in a plane and on three dimensional space and what are they?
Why?roshan2004 said:I guess it is two
roshan2004 said:in the form of ax+by+cz=0
There are usually 3 constraints when a particle is moving in a plane: 2 positional constraints and 1 tangential constraint. These constraints restrict the movement of the particle in the x and y directions, as well as the direction of its velocity.
A positional constraint restricts the position of the particle in a certain direction. For example, if the particle is moving on a horizontal plane, there may be a constraint that it cannot move below a certain height.
A tangential constraint restricts the direction of the particle's velocity. It can be thought of as a "path constraint" that the particle must follow in order to stay within a specific trajectory.
Yes, constraints can also limit the speed of the particle. This can be seen in situations where a particle is moving in a circular motion and there is a constraint that restricts its speed at a certain point in the circle.
Constraints can greatly affect the motion of a particle in a plane, as they restrict the particle's movement and can change its velocity. Constraints can also influence the shape of the particle's trajectory, making it more complex than a simple straight line or curve.