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?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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