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Formula Sheet

Motion of Rigid Body

NIOS · Class 12 · Physics

All formulas from Motion of Rigid Body in NIOS Class 12 Physics. Key equations, constants, and identities for board exam preparation.

45 questions5 concepts

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A diagram illustrating the parallel axis theorem. It shows a rigid body with its center of mass, an axis passing through the center of mass (I_CM), and a parallel axis at a distance 'd' from the I_CM
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16 Formulas · 4 Sections

Formulas

Rigid Body and Centre of Mass

x_cm = (m₁x₁ + m₂x₂ + ... + mₙxₙ) / M = Σmᵢxᵢ / M

y_cm = Σmᵢyᵢ / M

M·a = F_ext

Moment of Inertia

I = Σmᵢrᵢ² (units: kg·m²)

I = MK² ⟹ K = √(I/M) (units: m)

I = I_C + Md² (Parallel Axes Theorem)

I_z = I_x + I_y (Perpendicular Axes Theorem)

T = (1/2)Iω²

Torque and Rotational Equations of Motion

τ = F·s = F·r·sinθ (units: N·m)

τ = r × F (vector form)

τ = Iα

Torque of couple = F × b

Equations of Rotational Motion

θ = ωt (for constant ω)

ωf = ωi + αt

θ = ωᵢt + (1/2)αt²

ωf² = ωᵢ² + 2αθ

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Frequently Asked Questions

What are the important topics in Motion of Rigid Body for NIOS Class 12 Physics?
Key topics in Motion of Rigid Body include Motion of Rigid Body – Complete Chapter Overview, Mind map showing the major topics covered in the chapter on Motion of Rigid Body, Flowchart to identify whether a given object can be treated as a rigid body. These are the concepts NIOS Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Motion of Rigid Body — NIOS Class 12 Physics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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