How Do You Calculate the Acceleration of a Mass in a Pulley System?

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SUMMARY

The acceleration of a mass in a pulley system can be calculated using Newton's second law, specifically the equation Fnet = ma, where Fnet is the net force acting on the system. In this case, a 1.0 kg mass (mA) and a 4.0 kg mass (mB) are involved. The correct calculation for the acceleration of the larger mass (mB) is determined by the difference in gravitational forces acting on both masses, leading to an acceleration of 3.27 m/s², not 7.35 m/s² as previously calculated.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of gravitational force calculations
  • Familiarity with pulley systems in physics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Review the derivation of acceleration in pulley systems using Fnet = ma
  • Study the effects of mass differences on acceleration in connected systems
  • Learn about tension in ropes and its role in pulley mechanics
  • Explore additional examples of pulley systems in physics problems
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High school physics students, educators teaching mechanics, and anyone preparing for college-level physics courses.

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Homework Statement



A 1.0 kg mass (mA) and a 4.0 kg mass (mB) are attached to a lightweight cord that passes over a frictionless pulley. The hanging masses are free to move. Find the acceleration of the larger mass.

Homework Equations



Fnet = ma = FB-FA
Fhanging object=m x acceleration due to gravity

The Attempt at a Solution



I've gotten 7.35m/s/s about thirty times now but the homework is on webassign and I only have one last try to get it right. It's high school physics, a college prep class, so I expect someone can figure it out.

Other

The masses are on opposite sides of the pulleys.
 
Physics news on Phys.org
It's not 7.35m/s^2... can you show your steps. Then we can point out where you're going wrong.
 

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