A thick rope of length `2L` and linear mass density `9mu` is joined at `B` to a thin rope of length `L` and linear mass density `4mu`. The systems horizontally stretched by the two vertical wall `A` and `C`. Assuming `B` to be a node, find the minimum number of loops in the thick rope.

One end of a horizontal thick copper wire of length 2 L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, find the ratio of the elongation in the thin wire to that in the thick wire.

One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

One end of a horizontal thick copper wire of length 2L and radius 2R is weded to an end of another horizontal thin copper wire of length L and radius R .When the arrangement is stretched by applying forces at two ends , the ratio of the elongation in the thin wire to that in the thick wire is

One end of a horizontal thick copper wire of length 2L and radius 2R is weded to an end of another horizontal thin copper wire of length L and radius R .When the arrangement is stretched by applying forces at two ends , the ratio of the elongation in the thin wire to that in the thick wire is

A uniform rope of length .L. and linear density .mu. is on a smooth horizontal table with a lentht .l. lying on the table. The work done in pulling the hanging part on to the table is

A uniform rope of length 'L and linear density 'mu' is on a smooth horizontal table with a length 'I' lying on the table. The wrok done in pulling the hanging part on to the table is