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Draw a Diagram of Combination of Three Movable Pulleys with a Fixed Pulley Showing the Directions of Load, Effort and Tension in Each Strand. Find:: (I) Mechanical Advantage,(Ii) Velocity Ration and - ICSE Class 10 - Physics

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Question

Draw a diagram of combination of three movable pulleys with a fixed pulley showing the directions of load, effort and tension in each strand. Find: (i) mechanical advantage, (ii) Velocity ration and (iii) efficiency of the combination in ideal situation.

Solution

Diagram :

Tension T1 in the string passing over the pulley A is given as
2T1 = L or T1 = L/2
Tension T2 in the string passing over the pulley B is given as
2T2 = T1or T2 = T1/2 = L/22
Tension T3 in the string passing over the pulley C is given as
2T3 = T2 or T3 = T2/2 = L/23
In equilibrium, T3 = E
E = L/23

Mechanical advantage = MA = L/E = `2^3`
As one end of each string passing over a movable pulley is fixed, so the free end of string moves twice the distance moved by the movable pulley.
If load L moves up by a distance x, dL = x, effort moves by a distance `2^3`
x, dE = `2^3`x

Velocity Ration VR = `"Distance moved by the effort dE "/"Distance moved by the load dL "` = `(2^3 x)/x= 2^3`

Efficiency = MA/VR =`2^3`/`2^3` = 1 OR 100%

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Solution Draw a Diagram of Combination of Three Movable Pulleys with a Fixed Pulley Showing the Directions of Load, Effort and Tension in Each Strand. Find:: (I) Mechanical Advantage,(Ii) Velocity Ration and Concept: Concept of Pulley System.
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