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Agniveer Navy MR Simple Machines

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This page covers Agniveer Navy MR Simple Machines with complete concept notes, 12 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Simple Machines— Rules & Concept

Core ConceptRead this first — the foundation of the topic
There are six basic simple machines

lever, pulley, inclined plane, wedge, screw, and wheel-and-axle. Each works on the principle of mechanical advantage, which means the output force is greater than the input force

KEY RULES

Mechanical Advantage (MA) = Output Force / Input Force 2

Work is always conserved

Input Work = Output Work (ignoring friction) 3. If MA > 1, the machine multiplies force. If MA < 1, it increases distance/speed. 4. Efficiency = (Useful Output Work / Input Work) × 100%

Formula BlockMemorise — at least one formula appears in every paper
Mechanical Advantage = Load / Effort
Work = Force × Distance
Efficiency (%) = (Output Work / Input Work) × 100
Velocity Ratio = Distance moved by effort / Distance moved by load
Exam PatternsWhat examiners ask — read before attempting PYQs
RRB Group D typically asks

(1) Calculate MA from given load and effort. (2) Identify which simple machine is shown in a diagram. (3) Compare efficiency or work done. (4) Real-world applications (e.g., ramps, scissors, door handles)

SHORTCUT

Always remember: No machine can have efficiency > 100% due to friction. If a question shows MA = 4 and efficiency = 80%, then useful work output is only 80% of what the ideal machine would give.

Worked ExampleSolve this step-by-step before moving on

A man uses a lever to lift a 600 N load. He applies an effort of 150 N. Find: (a) Mechanical Advantage, (b) Velocity Ratio if effort moves 2 m and load moves 0.4 m, (c) Efficiency. Solution: (a) MA = Load / Effort = 600 / 150 = 4 (b) Velocity Ratio = 2 / 0.4 = 5 (c) Efficiency = (MA / VR) × 100 = (4 / 5) × 100 = 80%

Exam TrapsCommon mistakes students make — avoid these

Students confuse Mechanical Advantage with Velocity Ratio. MA compares forces; VR compares distances. They're different values!

Also, assuming a machine with high MA has high efficiency—not always true due to friction losses.

Key Points to Remember

  • Simple machine multiplies force (effort) by reducing distance moved or changing force direction.
  • Mechanical Advantage = Load / Effort; value >1 means force is multiplied.
  • Velocity Ratio = Distance moved by effort / Distance moved by load; always independent of friction.
  • Efficiency = (Useful Work Output / Work Input) × 100%; always <100% in real machines.
  • Six types: lever, pulley, inclined plane, wedge, screw, wheel-and-axle.
  • Remember: Work input = Work output (ideal); efficiency accounts for friction losses.

Exam-Specific Tips

  • Mechanical Advantage formula: MA = Load / Effort (dimensionless ratio).
  • Velocity Ratio formula: VR = Distance moved by effort / Distance moved by load (always > MA in real machines).
  • Efficiency formula: η = (MA / VR) × 100%; always expressed as percentage.
  • Class 1 Lever has fulcrum between effort and load; MA can be >1, =1, or <1 depending on position.
  • Class 2 Lever has load between fulcrum and effort; always MA >1 (mechanical advantage guaranteed).
  • Class 3 Lever has effort between fulcrum and load; always MA <1 (speed and range advantage).
  • Ideal Machine (frictionless): MA = VR; Real Machine: MA < VR always due to friction.
  • Inclined Plane MA = Length of slope / Height of slope; reduces effort needed to lift vertically.
Practice MCQs

Simple Machines — Practice Questions

12graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A lever of length 2 m has its fulcrum at 0.5 m from the load end. If a force of 100 N is applied at the free end, what is the mechanical advantage of this lever?

Practice 2easy

In a pulley system, if a movable pulley is used to lift a load of 200 N, what minimum effort force is required (neglecting friction and pulley weight)?

Practice 3easy

A wedge is used to split wood. Which statement correctly describes the relationship between the angle of the wedge and its mechanical advantage?

Practice 4easy

A screw with a pitch of 2 mm is rotated 10 complete turns to fasten it into wood. What is the linear displacement of the screw?

Practice 5medium

A lever of length 2 m has its fulcrum at 0.5 m from the load end. If a load of 100 N is placed at the load end, what effort is needed to balance it (assuming a massless lever)?

Practice 6medium

Which type of simple machine is represented by a staircase?

Practice 7medium

A movable pulley system has a mechanical advantage of 4. If the load is 400 N, what is the minimum effort required to lift it (ignoring friction)?

Practice 8medium

A wedge is used to split wood. Which principle of simple machines does it apply?

Practice 9medium

In a screw, the mechanical advantage depends on which of the following?

Practice 10hard

A lever of class 1 has a load of 100 N at a distance of 2 m from the fulcrum. If the effort is applied at a distance of 5 m from the fulcrum, what is the mechanical advantage of this lever?

Practice 11hard

A movable pulley system is used to lift a load of 600 N. If the efficiency of the system is 75% and the mechanical advantage is 4, what is the effort force required?

Practice 12hard

An inclined plane has a length of 10 m and a height of 2 m. What is the ideal mechanical advantage of this inclined plane, assuming it is frictionless?

60-Second Revision — Simple Machines

  • Formula: MA = Load / Effort; VR = Distance by effort / Distance by load; Efficiency = (MA/VR) × 100.
  • Remember: No real machine has efficiency = 100%; friction always reduces useful output work.
  • Trap: High MA doesn't mean high efficiency—check friction losses and compare MA to VR.
  • Class 1 Lever (fulcrum centre) varies MA; Class 2 (load centre) MA always >1; Class 3 (effort centre) MA always <1.
  • Quick Check: If MA = 5 and VR = 6, efficiency = (5/6)×100 ≈ 83%—this is realistic and acceptable.
  • Application Memory: Ramp = inclined plane; Scissors = Class 1 lever; Crane = pulley system; Doorknob = wheel-axle.
  • Formula to remember: Input Work (Effort × Distance) = Output Work (Load × Distance) in ideal case only.
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