Question

Two uniform plates of the same thickness and area but of different materials, one shaped like an isosceles triangle and the other shaped like a rectangle are joined together to form a composite body as shown in the figure. If the centre of mass of the composite body is located at the midpoint of their common side, the ratio between masses of the triangle to that of the rectangle is:

• A. $1:1$
• B. $4:3$
• C. $3:4$
• D. $2:1$

Answer 1

Answer: (C)

$3:4$

$m_1\times \frac{h}{3}=m_2\times \frac{b}{2}$ from center of mass $-----\left(1\right)$

$l.b=\frac{1}{2}\times l.h$ as area equal $------\left(2\right)$

From $\left(1\right)$ and $\left(2\right)$

$\frac{m_1}{m_2}=\frac{3}{4}$.