**Problem 8-55**Two blocks \( A \) and \( B \), each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is \( \mu_s = 0.5 \), determine the largest vertical force \( P \) that can be applied to pin \( C \) without causing the blocks to move. Neglect the weight of the links.**Diagram Explanation:**The diagram illustrates two blocks, \( A \) and \( B \), placed on inclined planes at an angle of 30° relative to the horizontal. The blocks are connected by a linkage with a pin located at \( C \). A vertical force \( P \) is shown acting downward on pin \( C \). The problem involves calculating the maximum force \( P \) that can be applied without the blocks moving, considering the given static friction coefficient.

Mass of each block= 6 kgCoefficient of static friction All other data are provided in the Free body diagram belowLet us analyze the equilibrium at Joint CAlong Y directionNow consider the block Asummation of vertical forces:Consider Block B:summation of Y-axis forces:Maximum Value of P= 23.8 N

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Mechanical Engineering

8-55. Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is μ = 0.5, determine the largest vertical force P that can be applied to pin C without causing the blocks to move. Neglect the weight of the links.

8-55. Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is μ = 0.5, determine the largest vertical force P that can be applied to pin C without causing the blocks to move. Neglect the weight of the links.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Problem 8-55**

Two blocks \( A \) and \( B \), each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is \( \mu_s = 0.5 \), determine the largest vertical force \( P \) that can be applied to pin \( C \) without causing the blocks to move. Neglect the weight of the links.

**Diagram Explanation:**

The diagram illustrates two blocks, \( A \) and \( B \), placed on inclined planes at an angle of 30° relative to the horizontal. The blocks are connected by a linkage with a pin located at \( C \). A vertical force \( P \) is shown acting downward on pin \( C \). The problem involves calculating the maximum force \( P \) that can be applied without the blocks moving, considering the given static friction coefficient.

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