Question

A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the center of mass of the combination, assuming same mass per unit area for two plates.

Answer 1

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ANSWER::

Let m be the mass per unit area .

Mass of square plate = M₁ = d²m

Mass of circular disc = M₂ = πd²m/4 

Let the centre of circular disc be the origin of the system.

Position of centre of mass = 

= [(d²md + π(d²/4)m x 0) / (d²m + π(d²/4)m ) , (0 +0) / (M₁+M₂)] 

= [d³m / {d²m(1+π/4)} , 0 ]

= [4d/(π+4) , 0]

Hope it helps!

Answer 2

Hope this helps..

Made as easy as possible to understand.