Basic Newton's Law Problem, 2 Blocks on a frictionless ramp/pulley

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SUMMARY

The discussion focuses on solving a physics problem involving two blocks on a frictionless ramp and a pulley system. Participants are tasked with drawing a free body diagram (FBD) and calculating the acceleration of the block using Newton's second law (F=ma) and gravitational force (F=mg). The initial acceleration calculated is 0.86 m/s², and the problem is extended to include friction with a coefficient of 0.2, requiring recalculation of acceleration. The use of trigonometric functions (SOHCAHTOA) is emphasized for resolving vectors.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with free body diagrams (FBD)
  • Basic knowledge of trigonometry (SOHCAHTOA)
  • Concept of friction and its coefficient
NEXT STEPS
  • Learn how to draw and analyze free body diagrams in physics
  • Study the effects of friction on motion in inclined planes
  • Explore advanced applications of Newton's Laws in multi-body systems
  • Investigate the role of trigonometric functions in resolving forces
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding dynamics involving friction and inclined planes.

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Homework Statement



Draw a free body diagram for the block on the frictionless ramp below. Break up any problem vectors into friendly vectors. Will you work in x and y components or parallel and perpendicular? Then, find the magnitude of each force you have labeled. Lastly, find the acceleration of the block down the ramp.

Repeat this problem with friction between the ramp and the block. The coefficient of friction is 0.2. What is the new acceleration of the block?

2ezo46r.jpg
Refer to this diagram ^

Homework Equations



F=ma
F=mg

The Attempt at a Solution



I am guessing you have to split the problem up into vectors involving triangles, and use SOHCAHTOA. (sin, cos, tan)
My answer is 0.86 m/s^2 for the acceleration, but I'm not sure this is right.
 
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How did you get the answer? Show the FBD-s, and the calculations in detail, please. ehild
 

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