Moving a box on an inclined plane. Find F(min), angle and W(min)

Thread starter Michael_0039
Start date Nov 27, 2019
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Angle Box Incline Inclined Inclined plane Physcis Plane

In summary, the minimum force (F(min)) required to move a box on an inclined plane is equal to the weight of the box (W) multiplied by the sine of the angle of the incline (θ). The angle of the inclined plane for minimum force can be determined by taking the inverse sine of the ratio of F(min) to W. The minimum force required is directly proportional to the weight of the box, meaning that as the weight increases, so does the minimum force required. F(min) cannot be greater than W. The angle of the inclined plane affects F(min) in two ways: the steeper the incline, the greater the minimum force required, and the angle affects the direction of the force needed as well.

Nov 27, 2019

Michael_0039

Homework Statement: Moving a box on an inclined plane. friction coefficient is f. We pull the box with angular force (pic below) Which is the angle θ where the F is minimum. Find the Fmin and the Work of Fmin. when the box is on height H

Relevant Equations: nill

Hi,

this is my try:

I would appreciate any confirmation or correction .

--
Thanks

Last edited: Nov 27, 2019

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Nov 27, 2019

PeroK

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All looks good to me.

FAQ: Moving a box on an inclined plane. Find F(min), angle and W(min)

1. What is the minimum force required to move a box on an inclined plane?

The minimum force required to move a box on an inclined plane is known as F(min) and it is dependent on the weight of the box (W) and the angle (θ) of the incline. It can be calculated using the equation F(min) = Wsinθ, where θ is the angle between the incline and the horizontal ground.

2. How do you calculate the angle of the inclined plane?

The angle of an inclined plane can be calculated using the inverse sine function (sin^-1) of the ratio of the height (h) to the length (l) of the incline. This can be represented as θ = sin^-1 (h/l). Alternatively, the angle can also be measured using a protractor.

3. What is the minimum weight needed to keep a box stationary on an inclined plane?

The minimum weight needed to keep a box stationary on an inclined plane, also known as W(min), is equal to the force of gravity acting on the box (mg) multiplied by the cosine of the angle (θ) of the incline. This can be represented as W(min) = mgcosθ.

4. How does the angle of the inclined plane affect the minimum force required to move a box?

The angle of the inclined plane has a direct impact on the minimum force required to move a box. As the angle increases, the minimum force required also increases. This is because a steeper incline requires a greater force to overcome the gravitational force pulling the box downwards.

5. Can the weight of the box affect the angle and minimum force required to move it on an inclined plane?

Yes, the weight of the box can affect both the angle and minimum force required to move it on an inclined plane. As the weight of the box increases, the minimum force required to move it also increases. This, in turn, can affect the angle of the inclined plane needed to keep the box stationary.