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# A block and tackle system has V.R $=5$(i) Draw a neat labelled diagram of a system indicating the direction of its loadand effort.(ii) Rohan exerts a pull of $150 \mathrm{kgf}$. What is the maximum load he can raise with this pulley system if its efficiency is $75 \% ?$

Last updated date: 17th Sep 2024
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Hint: We should know that velocity is defined as the rate change of displacement per unit time. Speed in a specific direction is also known as velocity. Velocity is equal to displacement divided by time. Speed, being a scalar quantity, is the rate at which an object covers distance. The average speed is the distance which is a scalar quantity per time ratio. On the other hand, velocity is a vector quantity; it is direction-aware. An object which moves in the negative direction has a negative velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion in this case. Based on this we have to solve this question.

(ii) Efficiency $=\dfrac{M \cdot A}{V \cdot R} \times 100$
$75=\dfrac{\mathrm{M} \cdot \mathrm{A}}{5} \times 100$
$\mathrm{M}. \mathrm{A} .=\dfrac{75 \times 5}{100}=3.75$
$\mathrm{M} \cdot \mathrm{A}=\dfrac{\mathrm{Load}}{\mathrm{Effort}}$
$3.75=\dfrac{\mathrm{Load}}{150 \mathrm{kgf}}$
Load $=3.75 \times 150$
$=562.5 \mathrm{kgf}$