Simple Pulley Hoist Mechanical Advantage

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The illustration below shows a simple pulley system with equations for various design attributes.

 Load being raised and accelerating Torque T= Tf + Ib + mR(a + g) Where b = a/R Load rising and coming to rest, no drive Tf - lb =mR(d -g) Deceleration d = [mgR + Tf ] / [ mR + (I/R) ] Load being lowered and accelerating, no drive Tf + lb = mR(g -a) Accelaration b = [mgR - Tf ] / [ mR + (I/R)] Load falling and being brought to rest T=Ib- Tf +mR(g +d) Where: Symbols used: m = mass of load I = moment of inertia of drum, etc. R = drum radius T = torque to drive drum Tf = friction torque a = acceleration of load d = deceleration of load b = angular acceleration/deceleration g = gravity  © Copyright 2000 - 2019, by Engineers Edge, LLC www.engineersedge.com
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