A block and tackle has two pulleys in each block with the tackle tied to the hook of the lower block and the effort being applied upwards.
(a) Draw a neat diagram to show this arrangement and calculate its mechanical advantage.
(b) If the load moves up by a distance x, by what distance will the free end of the string move up?
(a) The arrangement is shown in the figure given below :

Here, the load is being supported by five segments of the string.
∴ L = 5T and E = T
Then,
M.A. =
= = 5
∴ Mechanical advantage of the system is 5.
(b) In an ideal block and tackle system, if n segments of rope support the load, then the total length of the rope pulled = n × x.
As, here the load is being supported by five segments of the string then if the load moves up a distance x,
then,
Free end of the string will move up by a distance = 5x