Question 572: Centre of Mass and Rotational Motion

Question

Two discs of same mass and same thickness (t) are made from two different materials of densities '$$d_1$$' and '$$d_2$$' respectively. The ratio of the moment of inertia $$I_1$$ to $$I_2$$ of two discs about an axis passing through the centre and perpendicular to the plane of disc is

Accepted Answer

The ratio of moments of inertia of two discs of the same mass and same thickness but of different densities is given by $$\frac{I_1}{I_2}=\frac{R_1^2}{R_2^2}=\frac{d_2}{d_1}$$

Answer

$$\mathrm{d}_1: \mathrm{d}_2$$

Answer

$$\mathrm{d}_2: \mathrm{d}_1$$

Answer

$$1: d_1 d_2$$

Answer

$$1: \mathrm{d}_1^2 \mathrm{~d}_2$$

Centre of Mass and Rotational Motion

Two discs of same mass and same thickness (t) are made from two different materials of densities '$d_1' and 'd_2' respectively. The ratio of the moment of inertia I_1 to I_2$ of two discs about an axis passing through the centre and perpendicular to the plane of disc is

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