Question 157: Centre of Mass and Rotational Motion

Question

The coordinates of centre of mass of a uniform
flag shaped lamina (thin flat plate) of mass 4kg.
(The coordinates of the same are shown in
figure) are :

Accepted Answer

m
1
= $$\sigma $$A
1
= $$\sigma $$$$ 	imes $$(1$$ 	imes $$2) = 2$$\sigma $$
m
2
= $$\sigma $$A
2
= $$\sigma $$$$ 	imes $$(2$$ 	imes $$1) = 2$$\sigma $$
$$ 	herefore $$ x
cm
= $${{{m_1}{x_1} + {m_2}{x_2}} \over {{m_1} + {m_2}}}$$
= $${{2\sigma  	imes 0.5 + 2\sigma  	imes 1} \over {2\sigma  + 2\sigma }}$$ = 0.75
and y
cm
= $${{{m_1}{y_1} + {m_2}{y_2}} \over {{m_1} + {m_2}}}$$
= $${{2\sigma  	imes 1 + 2\sigma  	imes 2.5} \over {2\sigma  + 2\sigma }}$$ = 1.75

Answer

(0.75m, 1.75m)

Answer

(1m, 1.75m)

Answer

(0.75m, 0.75m)

Answer

(1.25m, 1.50m)

Centre of Mass and Rotational Motion

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4kg. (The coordinates of the same are shown in figure) are :

Choose the correct answer: