Applying Newton's Laws of Motion

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SUMMARY

The discussion focuses on applying Newton's Laws of Motion to analyze the dynamics of two connected blocks, X and Y, with masses of 5.12 kg and 3.22 kg, respectively, on an incline of 35.7 degrees. The blocks are connected by a fishing line over a frictionless pulley, leading to block X sliding up the incline with a calculated acceleration of 0.273 m/s². Key equations utilized include the net force equation (Ftension - Fg = Fnet = m total x a) and trigonometric relationships for force components along the incline.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Basic knowledge of trigonometry (sine and cosine functions)
  • Familiarity with gravitational force calculations (Fg = mg)
  • Concept of net force and acceleration in a system
NEXT STEPS
  • Study the derivation of tension in pulley systems
  • Learn about inclined plane dynamics in physics
  • Explore the application of free body diagrams in solving motion problems
  • Investigate the effects of friction on inclined planes and pulley systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of Newton's Laws in action.

emma3001
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Homework Statement



Blocks X and Y of masses mx=5.12kg and my=3.22kg are connected by a fishing line passing over a frictionless pulley. Show that block X slides up the incline (35.7 degrees above the horizontal) with positive acceleration. Determine the magnitude of the acceleration. (0.273m/s2 is the answer)


Homework Equations



Ftension-Fg=Fnet=m total x a system
sin35.7=Fty/Ftens
Cos35.7=Ftx/Ftens
Fg=mg (Block Y)

The Attempt at a Solution



I want to find the Ftx= and FAy but i do not know the Ftens. I can calculate the gravitational force of Block Y, which is F=mg=31.6N. now i am trying to figure out how to calculate the net force which will give me acceleration, using the combined mass of the two blocks. What is confusing me is the incline and the fact that no tension force is given.
 
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please help me understand the situation at least! thx
 

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