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IAT 2024 Physics • Rotational Dynamics
Q: A uniform solid sphere of mass M and radius R rolls without slipping down an inclined plane of inclination θ. What is the linear acceleration of the center of mass of the sphere?
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Detailed AI Solution Logic:

For a rolling body without slipping, linear acceleration is given by a = (g sin θ) / (1 + I/MR²). For a solid sphere, I = (2/5) MR², hence a = (5/7) g sin θ.

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Physics Chapters

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Official IAT Paper Archive (2017 – 2025)

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IAT 2025 Paper
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Official 60-question paper. Advanced problem set in Physical Chemistry & Electrostatics.

IAT 2024 Paper
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Moderate difficulty paper with high weightage in Rotational Dynamics & Organic Mechanisms.

IAT 2023 Paper
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Standard difficulty paper ideal for baseline diagnostic assessment across PCM+B.

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Focuses on core NCERT concepts with direct application questions in Biology.

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Great paper for practicing time management and eliminating silly calculation errors.

IAT 2020 Paper
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Balanced foundational paper for early-stage preparation and concept building.

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