Solve Box on an Incline with Trig, Geom & Newtons Laws

In summary, the conversation discusses the use of trigonometry and geometry in solving a physics problem involving Newton's Laws. The main focus is on finding the normal force and dividing forces into their x and y components. One contributor also points out the need to consider Newton's Third Law in the solution.
  • #1
Ainulph
4
0

Homework Statement


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Homework Equations


Trigonometry
Geometry - Intersection on a Line
Physics - Newtons Laws


The Attempt at a Solution


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I am just lost. I move the Cartesian coordinates to the incline of the free body diagram to begin.I know that the normal force is perpendicular to the surface and that the force of gravity must be divided into its x and y components. Considering Newton's Third Law, the force applied to the incline by the gravity and person should equal to normal force that box experiences.

Thanks for reading, hope to hear by you soon.
 
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  • #2
Divide also the applied force into its x (parallel to the slope) and y (normal to the slope) components. The normal component is not 110/tan(64°).

ehild
 
  • #3
Ah, thank you! I can't believe I made that mistake every time.
 

Related to Solve Box on an Incline with Trig, Geom & Newtons Laws

1. What is the purpose of solving a box on an incline using trigonometry, geometry, and Newton's Laws?

The purpose of solving a box on an incline using trigonometry, geometry, and Newton's Laws is to determine the forces acting on the box and the resulting motion of the box. This is important in understanding the principles of mechanics and how objects behave when placed on an incline.

2. How do you calculate the normal force on the box on an incline?

To calculate the normal force on the box, you need to first calculate the weight of the box using its mass and the acceleration due to gravity. Then, using trigonometry, you can determine the component of the weight that is perpendicular to the incline, which is equal to the normal force.

3. What is the role of Newton's Laws in solving a box on an incline?

Newton's Laws of Motion play a crucial role in solving a box on an incline. The first law states that an object will remain at rest or in uniform motion unless acted upon by a net force. The second law states that the net force acting on an object is equal to its mass multiplied by its acceleration. And the third law states that for every action, there is an equal and opposite reaction. These laws help us understand the forces acting on the box and how they affect its motion on the incline.

4. How do you use trigonometry to solve a box on an incline?

To solve a box on an incline using trigonometry, you need to break down the forces acting on the box into their components. This involves using the angles and sides of the incline to determine the components of the weight and normal force. Trigonometric functions such as sine, cosine, and tangent are used to calculate these components and ultimately determine the net force and resulting motion of the box.

5. What are some real-life applications of solving a box on an incline using trigonometry, geometry, and Newton's Laws?

Understanding the principles of mechanics and how to solve a box on an incline can be applied to various real-life situations. For example, engineers use these concepts to design ramps and roads with appropriate inclines for vehicles to travel smoothly. The same principles are also used in sports, such as determining the trajectory of a ball rolling down a hill. Additionally, these concepts are essential in the study of structures and how they withstand forces, such as the weight of objects placed on inclined surfaces.

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