Find Min Torque to Lift 15kg Bundle of Shingles

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AI Thread Summary
To determine the minimum torque required to lift a 15-kg bundle of shingles with an upward acceleration of 1.5 m/s², a free body diagram should be used to calculate the necessary force. The lightness of the pulley indicates that it does not contribute significantly to the overall weight, simplifying calculations. The radius of the pulley, at 0.11 m, is crucial as it directly affects the torque calculation using the formula τ = F * r, where τ is torque, F is force, and r is the radius. The minimum torque must be expressed with two significant figures and appropriate units. Accurate calculations are essential for selecting a suitable motor for this lifting task.
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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



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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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