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

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Homework Help Overview

The problem involves a 5.0 kg mass being accelerated along a 4.0 m long ramp inclined at 30º, with a 20.0 kg mass suspended over a frictionless pulley. The coefficient of kinetic friction is given as 0.26. The discussion focuses on determining the acceleration of the mass on the ramp and the tension in the rope.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the necessity of creating free body diagrams (FBD) for both the mass on the ramp and the falling mass to analyze the forces involved. Questions arise about how to approach the forces acting on the block on the inclined plane.

Discussion Status

Participants are actively engaging with the problem by suggesting the use of free body diagrams to clarify the forces at play. There is a focus on analyzing the forces to facilitate finding a solution, although no consensus or specific methods have been established yet.

Contextual Notes

Participants are working within the constraints of the problem statement, which includes specific masses, ramp length, angle of inclination, and the coefficient of kinetic friction. The discussion reflects an emphasis on understanding the setup and forces rather than jumping to solutions.

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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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