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प्रश्न
A pulley system has four pulleys in all and is 60% efficient. Calculate (a) the mechanical advantage (b) the effort required to lift a load of 1200 N, (c) the resistance due to the movable parts and friction of the pulley system.
संख्यात्मक
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उत्तर
Velocity ratio = No. of pulleys = 4.
Knowing, \[ \eta = \frac{\mathrm{MA}}{\mathrm{VR}} \]
MA = η × VR
\[= \frac{60}{100} \times 4\]
= 2.4
Also, \[ \frac{l}{E} = \mathrm{MA} \]
\[\text{E} = \frac{l}{\mathrm{MA}}\]
\[= \frac{1200\ \mathrm{N}}{2.4}\]
= 500 N
Knowing, \[ \mathrm{MA} = \mathrm{VR} - \frac{x}{E} \]
∴ x = E(VR − MA)
= 500(4 − 2.4)
= 800 N
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