Find Angle of Inclined Plane w/ Load & Cart

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In summary, an inclined plane is a simple machine used to raise or lower objects at an angle with less force. The angle of an inclined plane can be found by measuring its height and length, and is affected by these factors as well as the weight and friction of the load. The smaller the angle, the less effort is needed to move the load. In real-life applications, inclined planes are used in various industries, including construction, transportation, and amusement.
  • #1
smitheric420
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a cart on a (frictionless)inclined plane is attached to a load by a string that passes thru a frictionless pully. mass of cart =7.6 kg, mass of load = 4.2 kg, acc = 1.2 m/s^2. what is the angle of the plane?
 
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  • #2
What have you done?

Do a free body diagram

Use Newton's 2nd Law

[tex] \sum_{i=1}^{n} \vec{F}_{i} = m \vec{a} [/tex]
 
  • #3
It's also worth noting that the masses will turn out to be irrelevant to the answer.
 

1. What is an inclined plane in physics?

An inclined plane is a simple machine that is used to raise or lower an object at an angle. It is a flat surface that is tilted or sloped, allowing for the movement of an object with less force than would be required on a flat surface.

2. How do you find the angle of an inclined plane with a load and cart?

To find the angle of an inclined plane with a load and cart, you will need to measure the height and length of the plane. Then, you can use the formula tan(θ) = height/length to calculate the angle of the inclined plane.

3. What are the factors that affect the angle of an inclined plane?

The two main factors that affect the angle of an inclined plane are the height and length of the plane. The steeper the incline, the greater the height and shorter the length. The weight and friction of the load and cart can also affect the angle.

4. How does the angle of an inclined plane affect the effort needed to move the load?

The smaller the angle of an inclined plane, the less effort is needed to move the load. This is because a smaller angle means a longer ramp, which reduces the force needed to lift the load. The larger the angle, the more effort is required to move the load up the ramp.

5. How is the angle of an inclined plane used in real-life applications?

The angle of an inclined plane is used in many real-life applications, such as ramps for wheelchairs and loading docks for trucks. It is also used in construction, where it is easier to move materials up a ramp than to lift them vertically. Inclined planes are also used in roller coasters and water slides to create a thrilling ride.

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