# Mass slipping on a moving inclined plane

• york
In summary, the conversation discusses the relationship between two bodies, A and B, on an inclined plane with an angle of slope α and a coefficient of friction μ. It is mentioned that in order for body A to not slip on body B, body B must be accelerated with a certain amount a. The conversation then asks about the minimum and maximum acceleration required for body A to not slip, as well as the results if the slope angle α is 0 or 90°. However, there is disagreement on the equations used to determine the required acceleration, with questions about the coefficients of the a term and potential consequences of a being too small or too large.
york
Poster has been reminded to show their work on schoolwork problems
Homework Statement
Hey everyone, i run across this quastion and i don't know hot to find the min and max of a
Relevant Equations
Fk = miu*N
Body A rests on a inclined plane of body B . the angle of slope is α , the coefficient of friction between the two bodies is μ . Body A does not slip on body B because we accelerate body B with a. What is the minimum and maximum acceleration required for body A not to slip? What will be the results if the slope angle α is 0? What will be the results if the slope angle α is 90°?

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Per forum rules, you must show some attempt.

you right, sorry.
this is what i did, but i got a expression for a but i don't know how to find the min and max

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york said:
you right, sorry.
this is what i did, but i got a expression for a but i don't know how to find the min and max
I disagree with your first equation ("N+..."), and with the RHS of the third one. In each case, it's the coefficient of the a term I question.

Re min and max, what may happen if a is too small? What if a is too large?

haruspex said:
I disagree with your first equation ("N+..."), and with the RHS of the third one. In each case, it's the coefficient of the a term I question.

Re min and max, what may happen if a is too small? What if a is too large?
if a is too amall the block A will slide down, and if a is too large i think the block will severed from the plane backward

york said:
the block will severed from the plane backward
Sorry, I don't know what you mean by that.

What about the errors in the equations? Please explain how you get those terms.

## 1. What is the cause of mass slipping on a moving inclined plane?

The main cause of mass slipping on a moving inclined plane is the force of gravity. As the mass moves down the incline, gravity pulls it towards the ground, causing it to slip and slide down the slope.

## 2. How does the angle of the incline affect mass slipping?

The angle of the incline plays a significant role in mass slipping. The steeper the incline, the greater the force of gravity pulling the mass down, making it more likely to slip. A shallower incline will have less of an effect on the mass.

## 3. Can the surface of the incline impact mass slipping?

Yes, the surface of the incline can impact mass slipping. A rough or uneven surface can provide more friction, making it less likely for the mass to slip. A smooth surface, on the other hand, will have less friction and may cause the mass to slip more easily.

## 4. How does the mass of the object affect slipping on a moving inclined plane?

The mass of the object does not have a significant impact on slipping on a moving inclined plane. However, a heavier mass may have more inertia, making it more difficult to stop once it starts slipping down the incline.

## 5. Are there any other factors that can affect mass slipping on a moving inclined plane?

Yes, there are other factors that can affect mass slipping on a moving inclined plane. These include the force of air resistance, the shape and size of the mass, and the speed at which it is moving down the incline.

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