Mechanics inclined plane question

In summary, an inclined plane is a simple machine that is a sloped flat surface used to make it easier to lift or move objects. It works by reducing the amount of force needed and its mechanical advantage can be calculated using the formula MA = length of incline/height of incline. Inclined planes can be found in everyday objects such as ramps, slides, and stairs, and they are also used in construction and transportation. It is one of the six simple machines and can be thought of as a flat version of a wedge.
  • #1
themster
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0

Homework Statement


A small object of mass m is given an initial velocity u at point A. Just after it passes B the reaction force between the object and the surface drops at half the previous value. If the coefficient of friction between the object and the surface is μ=0.3, find the initial velocity u.
ω0 =10rad/s
Ans: 2.46 m/s


Homework Equations


F = μR
Possibly SUVAT equations?

The Attempt at a Solution

 

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  • #2
It's traditional for you to show you have made some attempt at the question.

Hints:
Why does the normal force after point B drop?
What's the definition of μ?
 

FAQ: Mechanics inclined plane question

1. What is an inclined plane?

An inclined plane is a simple machine that is a flat surface that is sloped. It is used to help move objects up or down, making it easier to lift heavy objects or move them horizontally.

2. How does an inclined plane work?

An inclined plane works by reducing the amount of force needed to move an object. By spreading the force needed over a longer distance, it makes it easier to lift or move objects. The steeper the incline, the less force is needed to move an object.

3. What is the formula for calculating the mechanical advantage of an inclined plane?

The formula for calculating the mechanical advantage of an inclined plane is MA = length of incline/height of incline. This means that the longer the distance of the incline, the greater the mechanical advantage.

4. What are some examples of inclined planes in everyday life?

Inclined planes can be found in many everyday objects such as ramps, slides, stairs, and even roads. They are also used in construction for loading materials onto higher levels and in transportation for loading and unloading heavy objects onto trucks or trains.

5. How does an inclined plane relate to other simple machines?

An inclined plane is one of the six simple machines, along with the lever, pulley, wheel and axle, wedge, and screw. It can be thought of as a flat version of a wedge, as both are used for lifting and moving objects by reducing the force needed to do so.

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