---
title: "Block \\(m_1\\) is stacked on top of block \\(m_2\\). Block \\(m_2\\) is connected by a light cord to block \\(m_3\\), which is pulled along a frictionless surface with a force \\(F\\) as shown in the diagram above. Block \\(m_1\\) is accelerated at the same rate as block \\(m_2\\) because of the frictional forces between the two blocks. If all three blocks have the same mass \\(m\\), what is the minimum coefficient of static friction between block \\(m_1\\) and block \\(m_2\\)?"
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url: "https://nerd-notes.com/ubq/20701/"
date_modified: "2026-05-05T07:08:57+00:00"
---

# Block \(m_1\) is stacked on top of block \(m_2\). Block \(m_2\) is connected by a light cord to block \(m_3\), which is pulled along a frictionless surface with a force \(F\) as shown in the diagram above. Block \(m_1\) is accelerated at the same rate as block \(m_2\) because of the frictional forces between the two blocks. If all three blocks have the same mass \(m\), what is the minimum coefficient of static friction between block \(m_1\) and block \(m_2\)?

Block \(m_2\) is stacked on top of block \(m_1\). Block \(m_1\) is connected by a light cord to block \(m_3\), which is pulled along a frictionless surface with a force \(F\) as shown in the diagram above. Block \(m_1\) is accelerated at the same rate as block \(m_2\) because of the frictional forces between the two blocks. If all three blocks have the same mass \(m\), what is the minimum coefficient of static friction between block \(m_1\) and block \(m_2\)?

![Diagram](https://nerd-notes.com/wp-content/uploads/2023/11/Screen-Shot-2023-11-24-at-01.57.13-AM.png)

- **A.** \[\frac{2F}{mg}\]
- **B.** \[\frac{3F}{2mg}\]
- **C.** \[\frac{F}{mg}\]
- **D.** \[\frac{F}{3mg}\]
- **E.** \(0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/20701/*