हिंदी

Draw a Diagram of a Single Fixed Pulley and Obtain Expressions for Its: (I) Mechanical Advantage, (Ii) Velocity Ratio, and (Iii) Efficiency, in the Ideal Case.

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प्रश्न

Draw a diagram of a single fixed pulley and obtain expressions for its:
(i) Mechanical advantage,
(ii) Velocity ratio, and
(iii) Efficiency, in the ideal case.

आकृति
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उत्तर

The diagram of a single fixed pulley is shown alongside. If T is the tension in each strand of the string and in the ideal case string is massless and there is no friction in the pulley bearings, then in equilibrium, E = T and L = T

(i) Mechanical advantage = `"L"/"E"="T"/"T"=1`

(ii) If the effort E moves a distance d downwards, the load L moves the same distance d upwards.

So, velocity ratio = `"d"_"E"/"d"_"L"="d"/"d"=1`

(iii) Efficiency =`"M.A."/"V.R."=1/1` = 1 (or 100%).

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