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ICSE Class 10 Answered

For a single string Pulley system a man has an upper block of 5 pulley and choice for the lower block of either 4 Pulleys of mass 20kg or 5 pulley of mass 30 kg state giving reasons and showing calculation which block you would recommend if the system is to lift a mass of 50 kg
Asked by Samrat | 30 Jun, 2018, 11:31: PM
answered-by-expert Expert Answer
Case (1) :- 5 pulleys of upper block and lower block of 4 pulleys of mass 20 kg
 
Efficiency begin mathsize 12px style equals space 1 space minus space fraction numerator w over denominator n space E end fraction space equals space 1 space minus space fraction numerator 20 over denominator 9 cross times begin display style bevelled 50 over 9 end style end fraction space equals space 0.6 end style
 
Case (2) :- 5 pulleys of upper block and lower block of 5 pulleys of mass 30 kg
 
Efficiency begin mathsize 12px style equals space 1 space minus space fraction numerator w over denominator n space E end fraction space equals space 1 space minus space fraction numerator 30 over denominator 10 cross times begin display style bevelled 50 over 10 end style end fraction space equals space 0.4 end style
 
5 pulleys of upper block and 4 pulleys of mass 20 kg gives more efficiency.
 
In general lower block pulleys weight should be less to get more efficiency

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