---
title: "A sphere of mass \\( M \\) and radius \\( r \\), and rotational inertia \\( I \\) is released from the top of an inclined plane of height \\( h \\). The surface has considerable friction. Using only the variables mentioned, derive an expression for the sphere’s center of mass velocity."
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url: "https://nerd-notes.com/ubq/22839/"
date_modified: "2025-03-14T03:58:58+00:00"
---

# A sphere of mass \( M \) and radius \( r \), and rotational inertia \( I \) is released from the top of an inclined plane of height \( h \). The surface has considerable friction. Using only the variables mentioned, derive an expression for the sphere’s center of mass velocity.

A sphere of mass \( M \) and radius \( r \), and rotational inertia \( I \) is released from the top of an inclined plane of height \( h \). The surface has considerable friction. Using only the variables mentioned, derive an expression for the sphere’s center of mass velocity.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/22839/*
