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Formula Sheet

Motion of Rigid Body — Formula Sheet

NIOS · Class 12 · Physics

17 formulas from Motion of Rigid Body (NIOS Class 12 Physics) on one page, grouped by topic. Part of the NIOS Class 12 Physics syllabus.

45 questions26 flashcards17 formulas & key relations5 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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17 Entries · 5 Sections

Formulas and Key Relations

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

Centre of Mass (CM)

For a two-particle system with masses m₁ and m₂ at positions z₁ and z₂: z_cm = (m₁z₁ + m₂z₂)/(m₁ + m₂)

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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 Rigid Body – Definition and Concept, Centre of Mass (CM), Translational vs Rotational Motion, Moment of Inertia. Study these first, then practise questions on each for the NIOS Class 12 board exam.
How many formulas are in Motion of Rigid Body?
This sheet lists 17 formulas from Motion of Rigid Body, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Motion of Rigid Body for the NIOS Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Motion of Rigid Body. Revise 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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All NIOS Class 12 Physics Formula Sheet

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