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The problem involves two blocks, A and B, connected by a string over a pulley. Block A, with mass \(4M\), moves along an inclined plane with negligible friction, and Block B, with mass \(M\), moves vertically. The inclined plane makes an angle \(\theta\) with the horizontal.

### Part (a) asks you to:
Draw and label the forces acting on both blocks A and B.

#### For Block A:
- **Weight force (\(F_{gA}\))**: Acts vertically downwards and is equal to \(F_{gA} = 4Mg\).
- **Normal force (\(F_n\))**: Acts perpendicular to the inclined plane.
- **Tension (\(T\))**: Acts along the string towards the pulley, parallel to the plane.

The weight \(F_{gA}\) has two components:
- \(F_{gA\parallel} = 4Mg \sin(\theta)\) (parallel to the incline).
- \(F_{gA\perp} = 4Mg \cos(\theta)\) (perpendicular to the incline).

#### For Block B:
- **Weight force (\(F_{gB}\))**: Acts vertically downwards and is equal to \(F_{gB} = Mg\).
- **Tension (\(T\))**: Acts upwards along the string.

The diagram you are supposed to create for each block is a free-body diagram showing these forces.

Would you like me to assist with further explanation or details about how to solve the system for acceleration or tension?

### Follow-up questions:
1. What is the relationship between the tension and the forces acting on Block B?
2. How do you express the force components acting on Block A along the incline?
3. Can you derive the acceleration of the system using Newton's Second Law?
4. How does the angle \(\theta\) affect the motion of Block A?
5. What assumptions can you make regarding the string and pulley?

### Tip:
When solving pulley problems like this, it's often helpful to treat both blocks as part of the same system and apply Newton’s second law to each block separately.

Two blocks are connected by a string that passes over an ideal pulley. Block A of mass 4M can move with negligible friction along an incline that makes an angle θ with the horizontal, and Block B of mass M can move vertically. The blocks are released from rest from the positions shown. Draw and label the forces exerted on the blocks.

Learn how to draw and label the forces acting on two connected blocks in a pulley system. Block A slides on an inclined plane while Block B moves vertically. This problem demonstrates key physics concepts including tension, weight, and components of forces.

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