A rigid rod leans against a vertical wall (y-axis) as shown in figure. The other end of the rod is on the horizontal floor. Point A is pushed downwards with constant velocity. Path of the centre of the rod is –
Text Solution
Verified by ExpertsThe correct answer is:
C
Let l be the length of the rod and θ the angle of rod with x-axis (horizontal) at some instant of time. Co-ordinates of the centre of rod at this instant of time are
x = 
cos θ
and y = 
sin θ
Squaring and adding Eqs. (1) and (2), we get:
x 2 + y 2 = 
Which is an equation of a circle of radius 
and center at origin.
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