A rectangular brick is kept on a table with a part of its length projecting out. It remains at rest if thelength projected is slightly less than half the total length but it falls down if the length projected is slightly more than half the total length. Give reason.

A metre rule, weighing 100 g rests on a tyable with a part projecting over the edge. Find the length of the part projecting out if a 5 g body hung at the end just tills the rule.

A lamp post has half of its length in mud, 1/3 of its length in water and 3 1/3 m above the water. Find the total length of the post?

A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.

1/4 of the length of a pencil is black, half of the rest is blue and the remaining part is white. If the pencil is 24cm long, find the length of the white part of the pencil

A uniform rope of total length l is at rest on a table with fraction f of its length hanging (see figure). If the coefficient of friction between the table and the chain is mu then

A uniform chain of mass m and length l is kept on a horizontal table with half of its length hanging from the edge of the table.Work done in pulling the chain on to the table so that only 1/5 th of its length now hangs from the edge is K((mgl)/(200)) .Find the value of K.

The breadth of a rectangular bed sheet is 5 cm more than half the length of the bed sheet. What is the perimeter of the bed sheet, if the length is x cm?