Look at the drawing given in the figure which has been drawn with ink of uniform line thickeners. The mass of ink used to draw each of the two inner circles and each of the two line segments is m. The mass of ink used to draw outer circle is 6m. The coordinates of the centres of different parts are outer circle (0, 0), left inner circle (-a, a) right inner circle (a, a) vertical line (0, 0) and horizontal line (o, -a). The ‘y’ co-ordinate of the centre of mass ink in this drawing is _______.
A. \(\frac { a }{ 10 }\)
B. \(\frac { a }{ 8 }\)
C. \(\frac { a }{ 12 }\)
D. \(\frac { a }{ 3 }\)
Answer:A
Look at the drawing given in the figure which has been drawn with ink of uniform line thickeners. The mass of ink used to draw each of the two inner circles and each of the two line segments is m. The mass of ink used to draw outer circle is 6m. The coordinates of the centres of different parts are outer circle (0, 0), left inner circle (-a, a) right inner circle (a, a) vertical line (0, 0) and horizontal line (o, -a). The ‘y’ co-ordinate of the centre of mass ink in this drawing is _______.
A. \(\frac { a }{ 10 }\) B. \(\frac { a }{ 8 }\) C. \(\frac { a }{ 12 }\) D. \(\frac { a }{ 3 }\)