Momentum and CollisionHard

Question

A ladder is leaned against a smooth wall and it is allowed slip on a frictionless floor. which figure represents the track of its center of mass ?

Options

A.
B.
C.
D.

Solution

         
Let l be the length of ladder and (x, y) be its center of mass which is middle point of the ladder. From the figure it is clear that,
(2x)2 + (2y)2 = l2 ⇒ x2 + y2 =
So locus (x,y) is a circle with radius .
As centre og mass will always go downwards. So option (a) is correct.

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