Rotational Motion Question 160

Question: A metal sheet 14 cm x 2 cm of uniform thickness is cut into two pieces of width 2 cm. The two pieces are joined and laid along XY plane as shown. The centre of mass has the coordinates

Options:

A) (1, 1)

B) (7/2, 7/2)

C)(13/4, 9/4)

D) (12/7, 8/7)

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Answer:

Correct Answer: C

Solution:

[c]

$X _{cm}=\frac{m\times 5.5+1\times m}{2m}=\frac{6.5}{2}=\frac{13}{4}cm.$

$Y _{cm}=\frac{m\times 3.5+1\times m}{2m}=\frac{4.5}{2}=\frac{9}{2}cm.$



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