question_answer

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

A)  (1, 1)                    

B)  (7/2, 7/2)

C)  (13/4, 9/4)                         

D)  (12/7, 8/7)

Correct Answer: C

Solution :

\[{{X}_{cm}}=\frac{m\times 5.5+1\times m}{2m}=\frac{6.5}{2}=\frac{13}{4}cm\] \[{{Y}_{cm}}=\frac{m\times 3.5+1\times m}{2m}=\frac{4.5}{2}=\frac{9}{4}cm\].