If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be

Question

If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be (A) inside the square plate (B) inside the circular plate (C) at the point of contact (D) outside the system

Tardigrade Admin · Accepted Answer

If σ is mass per unit area, then mass of square plate is l2 σ and mass of circular plate is (π l2 σ/4) . Since, the square plate is more massive than the circular plate, therefore the centre of mass of the composite system is inside the square plate.

Q. If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be

inside the square plate

inside the circular plate

at the point of contact

outside the system

If $σ$ is mass per unit area, then mass of square plate is
$l^{2} σ$ and mass of circular plate is $\frac{π l ^{2} σ}{4} .$ Since, the square plate
is more massive than the circular plate, therefore the centre of mass of the composite system is inside the square plate.

Q. If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be

inside the square plate

inside the circular plate

at the point of contact

outside the system

If σ is mass per unit area, then mass of square plate is l2σ and mass of circular plate is 4πl2σ​. Since, the square plate is more massive than the circular plate, therefore the centre of mass of the composite system is inside the square plate.

If $σ$ is mass per unit area, then mass of square plate is
$l^{2} σ$ and mass of circular plate is $\frac{π l ^{2} σ}{4} .$ Since, the square plate
is more massive than the circular plate, therefore the centre of mass of the composite system is inside the square plate.