Calculating Acceleration on an Inclined Plane

AI Thread Summary
To calculate the acceleration of a 3.86 kg block sliding down a frictionless incline of 28°, Newton's second law is applied. The force acting parallel to the incline must be identified, and the acceleration can then be determined using the gravitational force component along the incline. The acceleration due to gravity is 9.8 m/s², which influences the calculation. The discussion also notes that this is a duplicate post, referencing a previous thread on the same topic. The participants confirm understanding and readiness to proceed with the solution.
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Homework Statement


A 3.86 kg block slides down a smooth, fric-
tionless plane having an inclination of 28◦ .
The acceleration of gravity is 9.8 m/s2 .

Find the acceleration of the block.
Answer in units of m/s2.


Homework Equations


idk what equation to use?


The Attempt at a Solution

 
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Newton's 2nd law. Choose the x-axis parallel to the incline, and identify the force acting parallel to the incline. Then apply Newton 2 in the direction of the incline.
 
PhanthomJay said:
Newton's 2nd law. Choose the x-axis parallel to the incline, and identify the force acting parallel to the incline. Then apply Newton 2 in the direction of the incline.

Thank you jay(:
And doc- I am sorry i didnt see that post show up so i posted another one
 
No problem, are you good to go now?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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