Write down in terms of the absolute errors ?I and ?b in I and b respectively expressions for the absolute errors in the following quantities:

The moment of inertia of a bar, length I and breadth b. about an axis through the centre of mass (see figure 4), is mk2, whereand m is the mass of the bar.

A particular bar has a length of about 1 m and a breadth of about 25mm. It is required to find k to a precision of 1 part in 105. How accurately would you need to measure I andb?

(i) : (ii) b?: (iii) + b: (vi) V( + b'): (v) ([ + b1/12)12, b?1/12)12.