Find Min Torque to Lift 15kg Bundle of Shingles

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SUMMARY

The discussion focuses on calculating the minimum torque required for a motor to lift a 15-kg bundle of shingles with an upward acceleration of 1.5 m/s². The relevant equation for torque is τ = ±Fdsinθ, where the radius of the pulley (0.11 m) plays a crucial role in determining the force needed. A free body diagram is recommended to visualize the forces acting on the bundle during the lift. The light weight of the pulley is emphasized to simplify the calculations, ensuring that it does not contribute significantly to the overall force required.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with torque calculations
  • Basic knowledge of free body diagrams
  • Concept of acceleration in physics
NEXT STEPS
  • Calculate the minimum force required using F = ma for the 15-kg bundle.
  • Apply the torque formula τ = F * r to determine the minimum torque needed.
  • Explore the implications of pulley radius on torque calculations.
  • Investigate the effects of pulley weight on overall force requirements in lifting scenarios.
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone involved in designing lifting mechanisms or motors for construction applications.

insidelace
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Homework Statement


You wish to buy a motor that will be used to lift a 15-kg bundle of shingles from the ground to the roof of a house. The shingles are to have a 1.5-m/s^2 upward acceleration at the start of the lift. The very light pulley on the motor has a radius of 0.11m. Determine the minimum torque that the motor must be able to provide. Express your answer to two significant figures and include the appropriate units.


Homework Equations


τ=±Fdsinθ



The Attempt at a Solution



?
 
Physics news on Phys.org
Welcome to PF;
Start with a free body diagram to work out the minimum force to get the required result.

Why does it take the trouble to tell you the pulley is light?
Why is the pulley radius important?
 

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