ECS221L23

ECS221L23 - 1 Integrate: T d dT s =- = s T T d T T d 1 T 1...

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    BELT FRICTION 1. How does T vary around drum? 2. How are T 1 , T 2 related at impending slip? T 1 T 2 β β is angl e of wrap Assume belt slips right T 2 >T 1 .
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    Belt Element Free Body Impending slip: F = μ s N ∆ θ ∆ θ / 2 ∆ θ / 2 N F T+ T Τ ∆ θ / 2
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    Equilibrium F x =0 (T+ T) cos ∆ θ /2 - Tcos ∆ θ /2 - ∆ F = 0 F y =0 -(T+ T) sin ∆ θ /2 - Tsin ∆ θ /2 + ∆ N = 0
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    Governing Equation T cos ∆ θ /2 - μ s (2T+ T) sin ∆ θ /2 = 0 T - μ s (2T+ T) ∆ θ /2 ≈ 0 Governing differential equation: 0 T μ dT s = -
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    Solution Differential equation: Initial condition: T( θ =0) = T
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Unformatted text preview: 1 Integrate: T d dT s =- = s T T d T T d 1 T 1 T 2 more Recall: Integration: Solution: = s T T d T T d 1 s T 1 T T ln = s 1 e T T = T T 2 T 1 s 1 2 e T T = in radians! Discussion Relate T 2 to T 1 for the following configurations. T 1 T 2 = T 1 T 2 = 3 T 1 T 2 = 5 1/3 , e T T s s 1 2 = = 1 2 2.85T T = 1 2 23.1T T = 1 2 187.9T T =...
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This note was uploaded on 04/02/2012 for the course ECS 221 taught by Professor Macnamara during the Fall '08 term at Syracuse.

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ECS221L23 - 1 Integrate: T d dT s =- = s T T d T T d 1 T 1...

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