How Much Mass is Needed for a Counterweight to Balance a Truck on an Incline?

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SUMMARY

The discussion focuses on calculating the mass of a counterweight required to balance a 1600 kg truck on an incline, assuming frictionless and massless pulleys. Participants emphasize using Newton's second law rather than rotational dynamics and torque for this problem. The key takeaway is to define the tension in the system and apply Newton's second law to both the truck and the counterweight to find the necessary mass.

PREREQUISITES
  • Understanding of Newton's Second Law
  • Basic concepts of static equilibrium
  • Familiarity with weight-pulley systems
  • Knowledge of rotational dynamics (for context)
NEXT STEPS
  • Study the application of Newton's Second Law in static equilibrium scenarios
  • Learn about tension in pulley systems and its implications
  • Explore problems involving counterweights and inclines
  • Review concepts of torque and rotational dynamics for deeper understanding
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of weight-pulley systems and static equilibrium in rotational dynamics.

xdevinx
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Homework Statement



Find the mass m of the counterweight needed to balance the 1600 kg truck on the incline. Assume all pulleys are frictionless and massless.

Picture attached

Homework Equations



Conditions for static equilibrium so that angular acceleration=0:
[tex]\sum[/tex]Torque=0

The Attempt at a Solution



We're learning about rotational dynamics and torque and I honestly cannot make the connection between that and this problem. Please help ):
 

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Welcome to PF!

xdevinx said:
Find the mass m of the counterweight needed to balance the 1600 kg truck on the incline. Assume all pulleys are frictionless and massless.

We're learning about rotational dynamics and torque and I honestly cannot make the connection between that and this problem. Please help ):

Hi xdevinx! Welcome to PF! :smile:

I can't see the diagram yet, but if this is a standard weight-pulley-weight problem, then rotational dynamics and torque and irrelevant …

just call the tension T, and use good ol' Newtons second law twice (once on each weight). :wink:
 

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