Question

A circular plate of diameter a is kept in contact with a Square Plate of age as shown in figure the density of the material and thickness are the same everywhere the centre of mass of the composite system will be​

Answer 1

Answer:

Explanation:

(b) inside the square plate

Let m1 be the mass of circular plate and m2 be the mass of square plate.

The thickness of both the plates is t.

mass = density × volumem1 = ρπ(d2)2t       m2 = ρd2t            mass = density × volumem1 = ρπd22t       m2 = ρd2t            

Centre of mass of the circular plate lies at its centre.

Let the centre of circular plate be the origin.

r→1=0r→1=0

Centre of mass of the square plate lies at its centre.

r→2=2dNow,R = m1r→1 + m2r→2m1 + m2   = m1 × 0 + ρd2t × 2dρπ(d2)2t + ρd2t   = 2dπ4 + 1 = 1.12d⇒R>dr→2=2dNow,R = m1r→1 + m2r→2m1 + m2   = m1 × 0 + ρd2t × 2dρπd22t + ρd2t   = 2dπ4 + 1 = 1.12d⇒R>d

∴∴ Centre of mass of the system lies in the square plate.

HOPE HELPFULL!!

Answer 2

Answer:

The answer is inside the square plate only