---
title: "A block starts at rest on a frictionless inclined track which then turns into a circular loop of radius \\( R \\) and is vertical. In terms of \\( R \\) and constants, find the minimum height \\( h \\) above the bottom of the loop the block must start from so it makes it around the loop."
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url: "https://nerd-notes.com/ubq/21013/"
date_modified: "2025-09-23T04:55:36+00:00"
---

# A block starts at rest on a frictionless inclined track which then turns into a circular loop of radius \( R \) and is vertical. In terms of \( R \) and constants, find the minimum height \( h \) above the bottom of the loop the block must start from so it makes it around the loop.

A block starts at rest on a frictionless inclined track which then turns into a circular loop of radius \( R \) and is vertical. In terms of \( R \) and constants, find the minimum height \( h \) above the bottom of the loop the block must start from so it makes it around the loop.

- **A.** \[ \frac{4}{3}R \]
- **B.** \[\frac{5}{2}R\]
- **C.** \[\frac{7}{4}R \]
- **D.** \[ \frac{11}{3}R\]
- **E.** \[ \frac{3}{2}R \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/21013/*