a) Find the acceleration of the blocks. b) Find the tension in each string.

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**Physics Problem: Pulley System Analysis**

The blocks below are released from rest. Take mₐ = 3 kg, mᵦ = 5 kg, and m꜀ = 7 kg. Assume ideal pulley and strings and a frictionless surface.

**Questions:**
a) Find the acceleration of the blocks.
b) Find the tension in each string.

**Diagram Explanation:**
The diagram shows a pulley system consisting of three blocks. Block A is placed on a horizontal frictionless surface and is connected to Block B, which is hanging vertically. Block B is also connected to Block C, which is hanging vertically below it. This setup uses an ideal pulley and string system.

Here is a visual description of the setup:
- Block A is on a flat horizontal surface connected to Block B via a string that goes over a pulley.
- Block B hangs vertically and is connected via a string to Block C, which is hanging below Block B.
- The blocks are labeled A, B, and C respectively.

**Solution Steps Overview:**
1. Determine the forces acting on each block.
2. Apply Newton's second law to each block.
3. Solve the equations to find acceleration and tension in the strings.

* Helpful equations:
  - Newton’s Second Law: F = ma
  - Tension in strings with pulleys and connected masses

Calculate and solve for:
- Acceleration (a) of the system.
- Tension (T₁) in the string between Block A and Block B.
- Tension (T₂) in the string between Block B and Block C.
Transcribed Image Text:**Physics Problem: Pulley System Analysis** The blocks below are released from rest. Take mₐ = 3 kg, mᵦ = 5 kg, and m꜀ = 7 kg. Assume ideal pulley and strings and a frictionless surface. **Questions:** a) Find the acceleration of the blocks. b) Find the tension in each string. **Diagram Explanation:** The diagram shows a pulley system consisting of three blocks. Block A is placed on a horizontal frictionless surface and is connected to Block B, which is hanging vertically. Block B is also connected to Block C, which is hanging vertically below it. This setup uses an ideal pulley and string system. Here is a visual description of the setup: - Block A is on a flat horizontal surface connected to Block B via a string that goes over a pulley. - Block B hangs vertically and is connected via a string to Block C, which is hanging below Block B. - The blocks are labeled A, B, and C respectively. **Solution Steps Overview:** 1. Determine the forces acting on each block. 2. Apply Newton's second law to each block. 3. Solve the equations to find acceleration and tension in the strings. * Helpful equations: - Newton’s Second Law: F = ma - Tension in strings with pulleys and connected masses Calculate and solve for: - Acceleration (a) of the system. - Tension (T₁) in the string between Block A and Block B. - Tension (T₂) in the string between Block B and Block C.
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