Physics Assignment Help With Constraint Relations
Constraint Relations
The motion of a body is influenced by the forces acting on it as well as by the geometrical constraints imposed on it. For example, a block of mass
is acted upon by a force 
as shown in fig. The horizontal component of force 
tends to move the block in the horizontal direction; and the vertical component of the force 
tends to move the block in the vertical direction. As the block cannot penetrate the floor, therefore, the block cannot move vertically downward and hence, it moves horizontally only.
Hence motion of the block is governed by the geometrical constraints.
Another type of geometrical constraint is the inextensible string. For example, two blocks 
and 
are connected together by an inextensible string, as shown in fig. When the block 
is pulled by a horizontal force, it cannot accelerate alone because it is attached to block 
with a string. Since the string is inextensible, therefore, the rightwards displacements of blocks 
and 
are equal. Hence, both the blocks accelerates equally in the same direction.
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