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Formula Sheet

Mechanical Properties of Solids — Formula Sheet

CUET (UG) · Physics

All important formulas from Mechanical Properties of Solids for CUET (UG) Physics. Quick reference for revision and problem solving.

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An infographic comparing and illustrating the behavior of different types of solid materials (elastic, plastic, ductile, brittle, malleable) under applied stress, showing their deformation and fractur
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Formula Sheet — Mechanical Properties of Solids

Important formulas and equations from Mechanical Properties of Solids for CUET (UG) Physics.

Formulas — Mechanical Properties of Solids

Basic Concepts & Definitions

Stress (σ) = F/A
Longitudinal strain (εL) = ΔL/L
Shearing strain (εT) = Δx/L = tan θ
Volume strain (εV) = ΔV/V

Hooke's Law & Elastic Moduli

Hooke's Law: Stress = k × Strain
Young's Modulus: Y = σ/ε = (F×L)/(A×ΔL)
Shear Modulus: G = (F/A)/(Δx/L) = F×L/(A×Δx)
Bulk Modulus: B = -P/(ΔV/V) = -PV/ΔV
Poisson's Ratio: μ = -(Δd/d)/(Δl/l)

Elastic Energy & Applications

Elastic PE: U = (1/2) × F × ΔL
U = (1/2) × Stress × Strain × Volume
Energy density: u = U/V = (1/2) × Y × (strain)²
Maximum height of mountain: h = Elastic limit/(ρg)
Beam deflection: δ = Wl³/(4bd³Y)

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Frequently Asked Questions

What topics are covered in Mechanical Properties of Solids for CUET (UG)?
Mechanical Properties of Solids is an important chapter in CUET (UG) Physics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 8.1 Introduction to Elasticity, 8.2 Stress and Strain, 8.3 Hooke's Law, 8.4 Stress-Strain Curve.
How important is Mechanical Properties of Solids for CUET (UG)?
Mechanical Properties of Solids is a frequently tested chapter in CUET (UG) Physics. Questions from this chapter appear regularly in previous year papers. There are 138 practice questions available for this chapter.
How to prepare Mechanical Properties of Solids for CUET (UG)?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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