Home
Class 11
PHYSICS
Look at the drawing given in the figure ...

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. 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 the ink used to draw the outer circle is `6m`.
The coordinates of the centres of the different parts are: outer circle `(0, 0)`, left inner circle `(-a, a)`, right inner circle `(a, a)`, vertical line `(0, 0)` and horizontal line `(0, -a)`. The `y`-coordinate of the centre of mass of the ink in this drawing is

A

`a//10`

B

`a//8`

C

`a//12`

D

`a//3`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y_(CM)=(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3)+m_(4)y_(4)+m_(5)y_(5))/(m_(1)+m_(2)+m_(3)+m_(4)+m_(5))`
= `(6mxx0+mxxa+ma+mxx0+mxx-a)/(10m)=(a)/(10)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. 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 the ink used to draw the outer circle is 6 m. The coordinates of the centres of the different parts are: outer cicle (0,0), left circle (-a, a), right inner circle (a,a), vertical line (0,0) and horizontal line (0 ,-a). The y-coordinate of the centre of mass of the ink in this drawing is

In the figure, when the outer circles all have radii 'r', then the radius of the inner circle will be

Out of the 2 concentric circle the radius of the outer circle is 5cm and the chord AC of the length 8cm is a tangent to the inner circle find the radius of the inner circle

Draw any circle and mark a segment

Out of two concentric circles, the diameter of the outer circle is 26 cm and the chord MN of length 24 cm is tangent to the inner circle. The radius of the inner circle is