What is the acceleration of a block on an inclined plane with friction?

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Homework Help Overview

The discussion revolves around determining the acceleration of an 8 kg block on a 35-degree inclined plane, considering an applied force of 20 N acting parallel to the plane and a coefficient of kinetic friction (µK) of 0.3. Participants are exploring the forces acting on the block and the implications of these forces on its motion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to analyze the forces acting on the block, including gravitational force, applied force, and friction. There are questions about the direction of the applied force and its effect on the block's motion, as well as the role of friction in this scenario.

Discussion Status

Some participants are questioning the assumptions made about the direction of motion and the forces involved. There is a suggestion to draw a free body diagram to clarify the forces acting on the block. Guidance has been offered regarding the need to calculate the normal force and to apply Newton's laws to find the acceleration.

Contextual Notes

There is uncertainty regarding the direction of the block's motion and the effects of the applied force versus gravitational force. Participants are also noting the importance of accurately identifying all forces and their interactions.

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Homework Statement


phsics.jpg

I have the weight of a mass (8KG) on a inclined plane(35 degrees) with an applied force going parallel to the plane at 20 N with a µK of .3

looking for acceleration

Homework Equations


(8*9.8*(sin(35)-20)/8)

The Attempt at a Solution


I got an answer of 200.2 using (8*9.8*(sin(35)-20)/8)

I'm looking for any equations related to this without the applied force also or if this is wrong the correct formula
 
Last edited:
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Gilded said:

Homework Statement


phsics.jpg

I have the weight of a mass (8KG) on a inclined plane(35 degrees) with an applied force going parallel to the plane at 20 N with a MuK of .3


Homework Equations


(8*9.8*(sin(35)-20)/8)


The Attempt at a Solution


I got an answer of 200.2 using (8*9.8*(sin(35)-20)/8)

I'm looking for any equations related to this without the applied force also or if this is wrong the correct formula
I assume the 20 N applied force is pointing up the plane? Are you trying to find the acceleration? Which way does the block slide, up or down? What happened to the friction force? Draw a free body diagram to identify all the forces acting (weight, normal force, friction force, applied force) , then use Newton's laws.
 
the friction is .3, it slides up the ramp, I should have drawn that picture better.
 
How can it slide up with a 20 N applied load if gravity alone is pulling it down with a force of mgsintheta = 45 N or so??
 
I was taking a stab at the dark with the direction. I'm really bad at this and i haven't been able to find any useful formula on the internet or none seemed useful.
 
Gilded said:
I was taking a stab at the dark with the direction. I'm really bad at this and i haven't been able to find any useful formula on the internet or none seemed useful.
Well, I'll catch you a bit later, the block slides down the plane, and you must draw a free body diagram. You have 20N up the plane, 45N down the plane from gravity, and (mu)N from the friction force, acting up the plane, opposing the motion of the block. Add them up with appropriate plus/minus signs and set them equal to 'ma' to solve for a, but first solve for N, the normal force. Also, watch your algebra. Can you calculate the normal force which acts up on the block, perpendicular to the plane? And by the way, welcome to PF!
 
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