Two blocks of mass m and M, where m < M, are connected by a massless string across an inclined plane with angle 0. There is a coefficient of friction u between block m and the plane but no friction between M and the plane. If block M begins to accelerate down the incline without the string breaking, find the acceleration of block M and the tension in the string. Law m 6. Application

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

1. Two blocks of mass \( m \) and \( M \), where \( m < M \), are connected by a massless string across an inclined plane with angle \( \theta \). There is a coefficient of friction \( \mu \) between block \( m \) and the plane but no friction between \( M \) and the plane. If block \( M \) begins to accelerate down the incline without the string breaking, find the acceleration of block \( M \) and the tension in the string.

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**Law**

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**Application**

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**Diagram Explanation:**

The accompanying diagram illustrates two blocks, \( m \) and \( M \), placed on inclined planes that form angle \( \theta \) with the horizontal. The blocks are connected by a string passing over a pulley located at the top of the inclines. \( m \) is on the left incline and \( M \) is on the right incline. The angle \( \theta \) is indicated for both inclined planes.
Transcribed Image Text:--- **Problem Statement:** 1. Two blocks of mass \( m \) and \( M \), where \( m < M \), are connected by a massless string across an inclined plane with angle \( \theta \). There is a coefficient of friction \( \mu \) between block \( m \) and the plane but no friction between \( M \) and the plane. If block \( M \) begins to accelerate down the incline without the string breaking, find the acceleration of block \( M \) and the tension in the string. --- **Law** --- **Application** --- **Diagram Explanation:** The accompanying diagram illustrates two blocks, \( m \) and \( M \), placed on inclined planes that form angle \( \theta \) with the horizontal. The blocks are connected by a string passing over a pulley located at the top of the inclines. \( m \) is on the left incline and \( M \) is on the right incline. The angle \( \theta \) is indicated for both inclined planes.
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