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Draw the Diagram of a Single Movable Pulley and Obtain Its Mechanical Advantage, Velocity Ratio, and Efficiency. - Physics

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प्रश्न

Draw the diagram of a single movable pulley and obtain its mechanical advantage, velocity ratio, and efficiency.

आकृती
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उत्तर

Since it is inconvenient to apply the effort in an upward direction, a single fixed pulley is used to change the direction of effort.

In equilibrium, L = T + T = 2T

E = T

Mechanical advantage =`"Load(L)"/"Effort(E)"=(2"T")/"T"=2`

As the effort is pulled down through a distance dE, the two segments of the thread carrying the movable pulley and the load goes up by dE/2.

Hence, dL = dE/2

Velocity ratio (VR) = `"d"_"E"/"d"_"L"`

= `"d"_"E"/("d"_"E"/2)`

= 2.

Efficiency =`"MA"/"VR"`

= `2/2`

= 1 or 100%.

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