A thin uniform L shaped rod is kept as shown. The part of the rod on the x-axis has length of 60 cm and the part of the rod on y-axis has the length of 40 cm. Find the distance of centre of mass of body from origin. Express the answer in the form \sqrt{N}cm. Fill N in the answer.

Engineering

Physics

Center of Mass

Summation of Vectors

Calculus

Question

A thin uniform L shaped rod is kept as shown. The part of the rod on the x-axis has length of 60 cm and the part of the rod on y-axis has the length of 40 cm. Find the distance of centre of mass of body from origin. Express the answer in the form $\sqrt{N}$ cm. Fill N in the answer.

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$\frac{λ \times 60 \times 30 \hat{i} + λ \times 20 \times 40 \hat{j}}{60 λ + 40 λ} = 18 \hat{i} + 8 \hat{j} = \sqrt{324 + 64} = 388 cm$