Two blocks are connected by a massless, stretchless rope passing over a massless, frictionless pulley. Block 1 of mass m, = 1.0 kg slides down a 17° frictionless inclined plane. An upward force of magnitude F = 6.0 N acts on block 2 of mass m2 = 2.0 kg. Find the magnitude of the acceleration of the blocks. 170

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

Two blocks are connected by a massless, stretchless rope passing over a massless, frictionless pulley. Block 1 of mass \( m_1 = 1.0 \, \text{kg} \) slides down a \( 17^\circ \) frictionless inclined plane. An upward force of magnitude \( F = 6.0 \, \text{N} \) acts on block 2 of mass \( m_2 = 2.0 \, \text{kg} \). Find the magnitude of the acceleration of the blocks.

**Diagram Explanation:**

- **Block 1:** Positioned on a \( 17^\circ \) inclined plane, connected by a rope.
- **Block 2:** Hanging vertically with a force \( F = 6.0 \, \text{N} \) acting upwards.
- **Pulley System:** The rope passes over a pulley between the two blocks.

The setup involves considering the forces acting on each block to calculate the overall acceleration of the system.
Transcribed Image Text:**Problem Description:** Two blocks are connected by a massless, stretchless rope passing over a massless, frictionless pulley. Block 1 of mass \( m_1 = 1.0 \, \text{kg} \) slides down a \( 17^\circ \) frictionless inclined plane. An upward force of magnitude \( F = 6.0 \, \text{N} \) acts on block 2 of mass \( m_2 = 2.0 \, \text{kg} \). Find the magnitude of the acceleration of the blocks. **Diagram Explanation:** - **Block 1:** Positioned on a \( 17^\circ \) inclined plane, connected by a rope. - **Block 2:** Hanging vertically with a force \( F = 6.0 \, \text{N} \) acting upwards. - **Pulley System:** The rope passes over a pulley between the two blocks. The setup involves considering the forces acting on each block to calculate the overall acceleration of the system.
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