NEET · Physics

NEET Laws of Motion: Free-Body Diagrams, Friction, Momentum and Circular Dynamics

Teach official Unit 3 through force diagrams, Newton laws, momentum/impulse, equilibrium, friction and centripetal-force applications, with explicit static-friction inequality and banked-road conditions.

Subject
Physics
Official syllabus unit
Unit 3: Laws of Motion

In short

Laws of Motion problems become reliable when the system is isolated, all external forces are drawn, axes are chosen and only then is ΣF = ma applied. Static friction adjusts up to its limiting value; it is not automatically equal to μ_s N. Centripetal force is the inward net-force requirement, not an extra force to add to the diagram.

Subject faculty

Ashwini M., Physics Expert at Rank Sarthi

Ashwini M.

Physics Expert

Physics • NEET

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Also in Physics: Kumar Gandharva Saxena

Syllabus mapping

  • Unit
    Current official NEET UG 2026 scope
    Topics
    Free-body diagram before equation, Newton laws and momentum, Friction, Circular dynamics

Before this chapter

Concepts in this chapter

1. Free-body diagram before equation

Identify the object/system, then draw only the external forces acting on it. Weight acts vertically downward near Earth's surface; the normal force is perpendicular to the contact surface; tension follows the string direction; friction acts to oppose relative motion or its tendency.

2. Newton laws and momentum

Newton's second law connects net external force to acceleration. In constant-mass school-level problems, ΣF = ma is the working form. Momentum is a vector, and impulse equals change in momentum. Conservation of linear momentum applies to an isolated system when net external impulse is negligible over the interval.

3. Friction

Static friction is self-adjusting: 0 ≤ f_s ≤ μ_s N in magnitude, reaching μ_s N only at limiting impending motion under the ideal Coulomb model. Kinetic friction is commonly modeled as f_k = μ_k N once sliding occurs. Direction must be determined from relative motion/tendency, not guessed from the object's velocity alone.

4. Circular dynamics

For circular motion, the radial component of net force must equal mv^2/r. Do not draw a separate mysterious 'centripetal force' if the real inward forces are already on the diagram. On a frictionless banked road, the horizontal component of the normal supplies the radial force and the vertical component balances weight.

5. Decision aids for this chapter

  • Free-body diagram checklist
  • Static-friction decision ladder
  • Centripetal-force myth vs net-force model graphic

Formula sheet

  • Newton second law: ΣF = ma. Vector relation for constant-mass school-level problems. Force N = kg m s^-2. Sum only external forces on the chosen system.

    Newton second law

    Use when — Vector relation for constant-mass school-level problems. Force N = kg m s^-2. Sum only external forces on the chosen system.

  • Momentum: p = mv. Vector; kg m s^-1. For constant mass. Direction follows velocity.

    Momentum

    Use when — Vector; kg m s^-1. For constant mass. Direction follows velocity.

  • Impulse: J = Δp = ∫F dt; constant force J=FΔt. Vector; N s = kg m s^-1. Use net force for system momentum change.

    Impulse

    Use when — Vector; N s = kg m s^-1. Use net force for system momentum change.

  • Static friction: 0 ≤ f_s ≤ μ_s N. Magnitude under ideal dry-contact model. Equality only at limiting static friction.

    Static friction

    Use when — Magnitude under ideal dry-contact model. Equality only at limiting static friction.

  • Kinetic friction: f_k = μ_k N. Ideal Coulomb model during sliding; direction opposes relative sliding.

    Kinetic friction

    Use when — Ideal Coulomb model during sliding; direction opposes relative sliding.

  • Radial force requirement: ΣF_radial = mv^2/r. Choose inward radial direction; this is a net-force condition, not an additional physical force.

    Radial force requirement

    Use when — Choose inward radial direction; this is a net-force condition, not an additional physical force.

  • Frictionless bank angle: tanθ = v^2/(rg). Ideal banked curve with no friction; vehicle follows radius r at speed v under weight and normal only.

    Frictionless bank angle

    Use when — Ideal banked curve with no friction; vehicle follows radius r at speed v under weight and normal only.

Worked examples

A 5 kg block rests on a horizontal rough surface with μ_s=0.4. A horizontal force of 15 N is applied. Take g=10 m s^-2. Does it move and what is friction?

Concept being tested: Static friction

Prompt: A 5 kg block rests on a horizontal rough surface with μ_s=0.4. A horizontal force of 15 N is applied. Take g=10 m s^-2. Does it move and what is friction?

Decisive condition: Maximum static friction is μ_sN; compare the required friction with the limit.

Method choice: N=mg=50 N, so f_s,max=20 N. The applied 15 N can be balanced by static friction.

Reasoning/calculation: The block remains at rest and static friction has magnitude 15 N, opposite the applied force.

Unit/sign/condition check: Force unit N; acceleration is zero. The decisive condition is 15 < 20, so equality f_s=μ_sN does not apply.

PI if answered incorrectly: Knowledge Gap if 20 N is used automatically; Execution Error if friction direction is wrong.

Common mistakes and what they actually indicate

  • Writing f_s=μ_sN for every static situation

    Knowledge gap

    Why it happens

    Preparation Intelligence classification: Knowledge Gap.

    How it is corrected

    Use the inequality and solve for the friction actually required.

  • Adding centripetal force as an extra force

    Knowledge gap

    Why it happens

    Preparation Intelligence classification: Knowledge Gap.

    How it is corrected

    Resolve the real forces; their radial net must equal mv^2/r.

  • Assuming normal force always equals mg

    Decision / selection error

    Why it happens

    Preparation Intelligence classification: Decision / Selection Error.

    How it is corrected

    Resolve forces perpendicular to the contact surface; acceleration/other forces can change N.

  • Using momentum conservation despite significant external impulse

    Decision / selection error

    Why it happens

    Preparation Intelligence classification: Decision / Selection Error.

    How it is corrected

    Check system isolation over the interaction interval.

FAQ

NEET Laws of Motion: Free-Body Diagrams, Friction, Momentum and Circular Dynamics — questions

Straight answers about how Rank Sarthi fits into serious exam preparation.

No. Static friction adjusts up to a maximum μ_sN.

Sources and provenance

Official scope is taken from the NEET (UG) 2026 syllabus and official NTA documents; concept structure follows current NCERT contents. No performance, weightage or question-frequency data is asserted.