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This problem involves three connected blocks \( M_1 \), \( M_2 \), and \( M_3 \) with masses of 10 kg, \( P \) kg, and 15 kg, respectively, as part of a system on an inclined plane and pulley. Here’s a breakdown of each part and what it requires:

1. **Known values**:
   - \( M_1 = 10 \, \text{kg} \) (left side)
   - \( M_2 = P \, \text{kg} \) (on the inclined plane)
   - \( M_3 = 15 \, \text{kg} \) (right side, hanging)
   - Incline angle and distances (5 m incline, 3 m height, 4 m base)
   - Gravitational acceleration \( g = 10 \, \text{m/s}^2 \)
   - Friction coefficient \( \mu = 0.1 \) between \( M_2 \) and the inclined plane
   - **Note**: \( P \) is defined as the last digit of your student ID (NIM).

2. **Tasks**:
   - **(a)** Calculate the acceleration, velocity, distance traveled, and tension in the rope after 2 seconds from release.
   - **(b)** After the rope on the right side breaks, determine the distance each block travels in 2 seconds and the tension in the rope.
   - **(c)** Calculate the time and distance traveled by the 10 kg and \( P \) kg blocks until they stop after the right-side rope breaks.
   - **(d)** Calculate the distance traveled by the \( P \) kg mass 4 seconds after it stops momentarily.

To solve these parts:
- Start with a **Free-Body Diagram (FBD)** for each block to set up the forces acting on them.
- Use Newton’s Second Law \( F = ma \) for each component and consider the forces on the inclined plane, including gravitational force, friction, and the tension in the rope.
  
Would you like me to solve one specific part first or go through a detailed solution for each part?

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### Additional Questions to Explore:
1. How does changing the mass \( M_2 \) affect the system's acceleration and tensions?
2. What would happen if the friction coefficient between \( M_2 \) and the incline increased?
3. How would the solution change if gravity was set to \( 9.8 \, \text{m/s}^2 \) instead of \( 10 \, \text{m/s}^2 \)?
4. What would occur if the rope tension exceeded the maximum limit the rope could handle?
5. How does the angle of the inclined plane affect the force needed to move \( M_2 \)?

### Tip:
Always start with Free-Body Diagrams (FBD) in problems involving multiple connected bodies, as they help visualize and break down complex force interactions.

Consider the system involving three blocks with masses M1, M2, and M3 connected by a rope and pulley on an inclined plane. M1 = 10 kg is on the left, M2 = P kg is on the incline, and M3 = 15 kg hangs on the right. Given g = 10 m/s², friction coefficient μ = 0.1 for M2, and distances specified, solve the following:

(a) After release, calculate the system's acceleration, velocity, distance traveled, and rope tension after 2 seconds.
(b) After the right-side rope breaks, find the distance each block travels in 2 seconds and the tension in the rope.
(c) Determine the time and distance for M1 and M2 to stop after the rope breaks.
(d) Calculate the distance traveled by M2 (P kg) 4 seconds after a momentary stop.

Use Free-Body Diagrams for each part.

Solve a physics problem involving a pulley system with three masses on an inclined plane. Learn how to calculate acceleration, tension, and distance traveled for masses M1, M2, and M3, including kinematic and frictional forces. Suitable for undergraduate physics students.

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