આપેલ ઝંડા આકારની પાતળી તકતીનું દળ \(4\;kg\) છે તો તેના દ્રવ્યમાન કેન્દ્રના યામ શું થશે?

\(\mathrm{m}_{2}=1 \mathrm{kg}\)

Mass of plate- 1 is assumed to be concentrated at \((0.5,1.5)\)

Mass of plate- 2 is assumed to be concentrated at \((1.5,2.5)\)

\(\mathrm{x}_{\mathrm{cm}}=\frac{\mathrm{m}_{1} \mathrm{x}_{1}+\mathrm{m}_{2} \mathrm{x}_{2}}{\mathrm{m}_{1}+\mathrm{m}_{2}}=\frac{3 \times 0.5+1 \times 1.5}{4}=0.75\)

\(\mathrm{y}_{\mathrm{cm}}=\frac{\mathrm{m}_{1} \mathrm{y}_{1}+\mathrm{m}_{2} \mathrm{y}_{2}}{\mathrm{m}_{1}+\mathrm{m}_{2}}=\frac{3 \times 1.5+1 \times 2.5}{4}=1.75\)