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TLL Wamuлdm-Lcos(an) Wμede + 2 лdmcos (an)+µL) 2

TLL Wamuлdm-Lcos(an) Wμede + 2 лdmcos (an)+µL) 2

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Using the following free body diagram and the "Statics" equations: Fx =0 & Fy = 0, derive equation 10.5 Pg. 380 of the textbook which relates the load supported by a power screw "W" to the torque applied to the power screw "TL" when the load on the screw is being decreased or "lowered" (i.e. the "nut" is being moved down the thread away from the load). This equation is called the "Load Lowering Screw Torque Equation". Be sure to identify all the variables (symbols) used in this equation and include the relationship between the angles: a, a, and 1. (Note that an is used in the equation you are deriving but is defined in terms of the "Thread Angle" a and the "Lead Angle" A. [Note: The last part of this equation (Wμcdc)/2) accounts for the torque needed to overcome collar friction.] YA - W 91dm Neos - W Ans. TLL = Wdmundm-Lcos(an) 2 \лdmcos (αn)+ µL, + 2
Transcribed Image Text:Using the following free body diagram and the "Statics" equations: Fx =0 & Fy = 0, derive equation 10.5 Pg. 380 of the textbook which relates the load supported by a power screw "W" to the torque applied to the power screw "TL" when the load on the screw is being decreased or "lowered" (i.e. the "nut" is being moved down the thread away from the load). This equation is called the "Load Lowering Screw Torque Equation". Be sure to identify all the variables (symbols) used in this equation and include the relationship between the angles: a, a, and 1. (Note that an is used in the equation you are deriving but is defined in terms of the "Thread Angle" a and the "Lead Angle" A. [Note: The last part of this equation (Wμcdc)/2) accounts for the torque needed to overcome collar friction.] YA - W 91dm Neos - W Ans. TLL = Wdmundm-Lcos(an) 2 \лdmcos (αn)+ µL, + 2
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