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ICSE Class 10 Physics 2017 Paper

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A pulley system with VR=4V R=4 is used to lift a load of 175 kgf175\,\text{kgf} through a vertical height of 15 m15\,\text{m}. The effort required is 50 kgf50\,\text{kgf} in the downward direction. (g=10 N kg−1)(g=10\,\text{N}\,\text{kg}^{-1})
Calculate:
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Question : 28 of 65
Marks: +1, -0
Distance moved by the effort.
Solution:  
Given : V.R. =4=4, Load =175 kgf=175\ \mathrm{kgf}, displacement of load (dL)=15 m(d_{L})=15\ \mathrm{m}., Effort =50=50 kgf, g=10 Nkg−1g=10\ \mathrm{Nkg}^{-1}
Distance moved by the effort (dE)=(d_{E})= ?
We know,
   V.R.     =  dEdL\;\text{ V.R. }\;\;=\;\frac{d_{E}}{d_{L}}
⇒    dE  =   V.R.   ×dL=4×15\Rightarrow\;\;d_{E}\;=\;\text{ V.R. }\;\times d_{L}=4\times 15
  =60 m\;=60\ \mathrm{m}
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