Block A and block X are attached to a rope that passes over a pulley, as shown in the figure. A force Pis applied horizontally to block A, keeping it in contact with a rough vertical face. The pulley is light and frictionless. The mass of block X is adjusted until block A moves upward with an acceleration of a. rough Hs= 0.40 H= 0.30 X By applying Newton's laws of motion, write the system of 3 equations that describe the motion of this system.

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

Block A and block X are attached to a rope that passes over a pulley, as shown in the figure. A force P is applied horizontally to block A, keeping it in contact with a rough vertical face. The pulley is light and frictionless. The mass of block X is adjusted until block A moves upward with an acceleration of \( a \).

**Diagram Explanation:**

- The diagram depicts two blocks, A and X.
- Block A is shown adjacent to a rough vertical surface. The coefficients of static and kinetic friction are given as \( \mu_s = 0.40 \) and \( \mu_k = 0.30 \).
- A rope connects block A to block X, passing over a pulley.
- The force P is applied horizontally on block A.
- Block X hangs vertically on the opposite side of the pulley.

**Task:**

By applying Newton's laws of motion, write the system of 3 equations that describe the motion of this system.
Transcribed Image Text:**Problem Description:** Block A and block X are attached to a rope that passes over a pulley, as shown in the figure. A force P is applied horizontally to block A, keeping it in contact with a rough vertical face. The pulley is light and frictionless. The mass of block X is adjusted until block A moves upward with an acceleration of \( a \). **Diagram Explanation:** - The diagram depicts two blocks, A and X. - Block A is shown adjacent to a rough vertical surface. The coefficients of static and kinetic friction are given as \( \mu_s = 0.40 \) and \( \mu_k = 0.30 \). - A rope connects block A to block X, passing over a pulley. - The force P is applied horizontally on block A. - Block X hangs vertically on the opposite side of the pulley. **Task:** By applying Newton's laws of motion, write the system of 3 equations that describe the motion of this system.
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