Basic Physics Problem: Acceleration and Tension of Connected Blocks"

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SUMMARY

The discussion centers on a physics problem involving two connected blocks with masses of 0.8 kg and 2.0 kg, linked by a massless string over a frictionless pulley. The coefficient of kinetic friction is 0.14, and the ramp angle is 60 degrees. Participants emphasize the application of Newton's second law to determine the acceleration of the blocks and the tension in the string, noting that both will be the same due to the pulley’s properties.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of friction and its coefficients
  • Concept of tension in strings and pulleys
  • Trigonometry related to angles and forces
NEXT STEPS
  • Calculate the acceleration of connected blocks using Newton's second law
  • Determine the tension in the string using the forces acting on each block
  • Explore the effects of varying the angle of the ramp on acceleration and tension
  • Study the implications of different coefficients of friction on the system's dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of tension and acceleration in connected systems.

kikisf20c
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Hi guys,i'm happy to join you.
I have the problem shown below for homework and i don't know how to solve it. This is becouse i have missed a lot of lessons during this month becouse of an illness.
I will apreciate it if anyone can help me with the problem. Thanks.

Problem:
Two blocks, one 0.8 kg and the other 2.0 kg are connected by a massless string over a frictionless pulley. The coefficient of kinetic friction is 0.14, and the downward ramp angle is 60 degrees.

a) Determine the acceleration of the blocks.

b) Calculate the tension of the string.
 
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Welcome to PF!

Hi kikisf20c! Welcome to PF! :smile:

(which mass is hanging vertically? and is that 60º from the horizontal?)

The tension in the string will be the same at both ends (because the pulley is frictionless).

And the acceleration of both blocks will be the same (beacuse the length of the string is constant).

And the friction force is µ times the normal force.

So apply good ol' Newton's second law to each block (separately) …

what do you get? :smile:
 

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