Find the mechanical advantage of a block and tackle system consisting n number of pulleys.
Find the mechanical advantage of a block and tackle system consisting n number of pulleys.
The correct option is B n
A block and tackle system consists of two blocks each containing a number pulleys, the upper block is fixed to a rigid support and the lower one is movable at which the load is hung. A single, light flexible and an inextensible string is passed around all the pulleys.
The figure shows that when effort (W) applied at the free end of the string to the load (W), it produces tension (T) in the segments of the string passing on both the blocks of pulleys. Here, the number of segments is equal to the number of pulleys.
In Equilibrium, total tension in all the segments which is acting upward should be balanced by the load which is acting downward direction.
Thus, in equilibrium, W = nT and T = E
∴ Mechanical advantage
=WE=nTT = n, i.e. number of pulleys.
n
A block and tackle system consists of two blocks each containing a number pulleys, the upper block is fixed to a rigid support and the lower one is movable at which the load is hung. A single, light flexible and an inextensible string is passed around all the pulleys.
The figure shows that when effort (W) applied at the free end of the string to the load (W), it produces tension (T) in the segments of the string passing on both the blocks of pulleys. Here, the number of segments is equal to the number of pulleys.
In Equilibrium, total tension in all the segments which is acting upward should be balanced by the load which is acting downward direction.
Thus, in equilibrium, W = nT and T = E
∴ Mechanical advantage
=WE=nTT = n, i.e. number of pulleys.
