A block and tackle system has the velocity ratio 3. Draw a labelled diagram of the system indicating the points of application and the directions of load L and effort E. A man can exert a pull of 200 kgf. (a) What is the maximum load he can raise with this pulley system if its efficiency is $60 %$ ? (b) If the effort end moves a distance 60 cm, what distance does the load move ?

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Solution

(a)

A block and tackle system has the velocity ratio = 3 i.e., VR = n = 3
Efficiency of system η = 60% = 0.6
The mechanical advantage of the system
MA. = V.A × η = 3 × 0.6 = 1.8
Man can exert a maximum effort = 200 kgf
Load = M.A. × effort = 1.8 × 200 = 360 kgf

(b)\distance does the load move=60/1.8=33.33cm

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