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In a lever, 120 N load is attached at a distance of 20 cm from the fulcrum. If this effort is used to lift 50 kg weight then, find

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In a lever, 120 N load is attached at a distance of 20 cm from the fulcrum. If this effort is used to lift 50 kg weight then, find

  1. Load distance (LD)
  2. Mechanical advantage (MA)
  3. Velocity ratio (VR)
  4. Efficiency (η)

1 Answer


Solution:

Given,

Load (L) = 50 kg which means the actual load is 50 kg × 10 m/s2 = 500 N   [∵ F = mg ],
Effort (E) = 120 N,
Effort distance (ED) = 20 cm,

  1. Load distance (LD) = ?

    We have, from the principle of a simple machine,
    L × LD = E × ED
    Or, 500 × LD = 120 × 20
    Or, \(LD=\frac{2400}{500}\)
    ∴ LD = 4.8 cm

  2. Mechanical advantage (MA) =?

    We have,

    Mechanical advantage, \(MA=\frac{L}{E}\)
    Or, \(MA=\frac{500}{120}\)
    ∴ MA = 4.17

  3. Velocity ratio, VR =?

    We have,

    velocity ratio, \(VR=\frac{ED}{LD}\)
    Or, \(VR=\frac{20}{4.8}\)
    ∴ VR = 4.17


  4. Efficiency (η) =?

    Since MA = VR the efficiency of the given lever is 100%

    Also using the formula for efficiency of a simple machine. we have,

    Efficiency, \(η=\frac{MA}{VR}\times 100\%\)
    Or, \(η=\frac{4.17}{4.17}\times 100\%\)
    ∴ Efficiency, η = 100 %

The given lever is 100% efficient. Which means that the lever is an ideal lever.

Things to remember from Simple Machine

The machines which are simple in construction and help to make our work easier and faster are called simple machines.

  • The ratio of the load to the effort is called the MA of a simple machine.
  • A machine having 100 % efficiency is called an ideal machine. No such simple is ideal in real life.
  • A lever is a rigid bar. It may be straight or bent, and it rotates about fixed points called a fulcrum.
  • There are three classes of a lever based on the location of fulcrum, effort, and load.
  • Pulleys are of three types, i) Fixed pulley, ii) Movable pulley, iii) Block and tackle
  • The slanted surface is called an inclined plane.
  • The wheel and axle are a combination of two cylinders of different diameters.
  • A screw is a cylinder having spirally wounded threads around it.
  • All cutting and piercing instruments are called wedges.
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