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# A block and tackle system of pulleys has a velocity ratio of 4.(i) Draw a labelled diagram of the system indicating clearly the points of application and direction of load and effort.(ii) What is the value of the mechanical advantage of the given pulley system if it is an ideal pulley system?

Last updated date: 17th Jun 2024
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Hint: We know how a block and tackle system of the pulley with a velocity ratio of 4 looks like. We need to draw the diagram of the required system as per the question. Now for the second part of the question, we know the value of the velocity ratio is 4 and we can see the value of load and effort in terms of tension. From the formula for mechanical advantage, we need to calculate the value.

Formula used:

i)

Here in the above diagram, we see a set of pulley including the movable and immovable pulley, here the round figure marked as ‘L’ is the load and the end of the string where effort is given is marked as ‘E’. And all the ‘T’ represents tension on the string due to the effort given.

ii) We know that the velocity ratio is given as 4.
Now we can see that, Load = 4 T and Effort = T
We know that the formula for mechanical advantage is ,
$M.A=4T/T$
$M.A=4$.