A 5.0kg mass is accelerated from rest at the bottom of the 4.0 m long

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A 5.0 kg mass is accelerated up a 4.0 m ramp inclined at 30º by a falling 20.0 kg mass over a frictionless pulley, with a coefficient of kinetic friction of 0.26. To solve for the acceleration of the 5.0 kg mass, a free body diagram (FBD) is essential to analyze the forces acting on both masses. The equation ma = mg - Ft is crucial for determining the forces involved. The discussion emphasizes the importance of using FBDs to accurately calculate the acceleration and tension in the rope. Understanding these principles is vital for solving the problem effectively.
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Homework Statement



A 5.0kg mass is accelerated from rest at the bottom of the 4.0 m long ramp by a falling 20.0kg mass suspended over a fictionless pulley. The ramp is inclined 30º ramp from the horizontal, and the coefficient of kinetic friction = .26.
a. Determine the acceleration of the 5.0 kg mass along the ramp.
b. Determine the tension in the rope during the acceleration on the 5.0 kg mass along the ramp.

Homework Equations



ma = mg - Ft for the lower block

The Attempt at a Solution



what do I do with the block on the inclined plane?
 
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Hint: free body diagram.
 
FBD is a necessity...
 
You will have two of them - one for the block on the slope and one for the falling mass.
 
As stated in the previous comments, a FBD is useful. With that you will be able to analyze all the forces acting on the masses and from there find the solution.

Remember F = ma!
--Without a doubt, the most important equation for mechanics--
 

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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'

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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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