A 1070-kg car is being pulled up a frictionless ramp at a constant speed, as shown in the figure. (Figure 1) The cable makes an angle of 31.0∘ above the surface of the ramp, and the ramp itself rises at 25.0∘ above the horizontal. Identify

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A 1070-kg car is being pulled up a frictionless ramp at a constant speed, as shown in the figure. (Figure 1) The cable makes an angle of 31.0∘ above the surface of the ramp, and the ramp itself rises at 25.0∘ above the horizontal.

Identify

  •  Friction force
  •  Normal force
  •  Weight
  •  Thrust force
  • Tension force
### Understanding Forces on an Inclined Plane

#### Diagram Explanation

The image depicts a car on an inclined plane supported by a cable. The diagram includes the following key components and details:

1. **Inclined Plane and Car**: 
   - The car is positioned on an inclined surface with a slanting angle of **25 degrees** relative to the horizontal plane. 

2. **Cable**:
   - A cable is attached to the front of the car, providing additional support. The angle between the cable and the inclined plane is **31 degrees**.

#### Analyzing Forces

In this scenario, to better understand the forces acting on the car, it is crucial to consider the following:

1. **Gravity**: The force of gravity acts downward and can be resolved into two components:
   - **Parallel Component**: Acts parallel to the incline and causes the car to slide downwards.
   - **Perpendicular Component**: Acts perpendicular to the incline and presses the car against the surface.

2. **Normal Force**: This is the force exerted by the inclined plane that is perpendicular to its surface, balancing out the perpendicular component of gravity.

3. **Tension in the Cable**: This force is exerted by the cable, helping to oppose the motion of the car down the incline. The direction of this force is along the cable, making an angle of **31 degrees** with the inclined plane.

#### Practical Applications

Understanding the dynamics of forces in such situations is crucial in various fields such as engineering, physics, and mechanics. It allows for the design of safer and more efficient systems when dealing with inclined surfaces, such as road design, vehicle mechanics, and safety systems.

When engaging in problem-solving with such diagrams, it’s essential to consider the components of each force and their resultant effects on the motion of the object. This aids in calculating the necessary tensions, frictional forces, and other pivotal factors in real-world applications.
Transcribed Image Text:### Understanding Forces on an Inclined Plane #### Diagram Explanation The image depicts a car on an inclined plane supported by a cable. The diagram includes the following key components and details: 1. **Inclined Plane and Car**: - The car is positioned on an inclined surface with a slanting angle of **25 degrees** relative to the horizontal plane. 2. **Cable**: - A cable is attached to the front of the car, providing additional support. The angle between the cable and the inclined plane is **31 degrees**. #### Analyzing Forces In this scenario, to better understand the forces acting on the car, it is crucial to consider the following: 1. **Gravity**: The force of gravity acts downward and can be resolved into two components: - **Parallel Component**: Acts parallel to the incline and causes the car to slide downwards. - **Perpendicular Component**: Acts perpendicular to the incline and presses the car against the surface. 2. **Normal Force**: This is the force exerted by the inclined plane that is perpendicular to its surface, balancing out the perpendicular component of gravity. 3. **Tension in the Cable**: This force is exerted by the cable, helping to oppose the motion of the car down the incline. The direction of this force is along the cable, making an angle of **31 degrees** with the inclined plane. #### Practical Applications Understanding the dynamics of forces in such situations is crucial in various fields such as engineering, physics, and mechanics. It allows for the design of safer and more efficient systems when dealing with inclined surfaces, such as road design, vehicle mechanics, and safety systems. When engaging in problem-solving with such diagrams, it’s essential to consider the components of each force and their resultant effects on the motion of the object. This aids in calculating the necessary tensions, frictional forces, and other pivotal factors in real-world applications.
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