1. Consider a loaded mine cart weighing 3000 lb with 1500 Ib of high-grade ore from an underground mine. Compute the equivalent stiffness and the equivalent static deflection in the wire rope without load and with load. Also, draw the free body diagram of the mechanical system. Let the values of modulus of elasticity and modulus of rigidity to be 30 x 10° psi and 11.6 x 10° psi respectively. (30pts.) Pulley 30" Steel wire rope, 0.05" diameter 25' Loaded mine cart 50°

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Consider a loaded mine cart weighing 3000 lb with 1500 Ib of high-grade ore from an
underground mine. Compute the equivalent stiffness and the equivalent static deflection in the
wire rope without load and with load. Also, draw the free body diagram of the mechanical
system. Let the values of modulus of elasticity and modulus of rigidity to be 30 x 106 psi and
11.6 x 10° psi respectively. (30pts.)
Pulley
30"
Steel wire rope,
0.05" diameter
25'
Loaded
mine cart
50°
Transcribed Image Text:1. Consider a loaded mine cart weighing 3000 lb with 1500 Ib of high-grade ore from an underground mine. Compute the equivalent stiffness and the equivalent static deflection in the wire rope without load and with load. Also, draw the free body diagram of the mechanical system. Let the values of modulus of elasticity and modulus of rigidity to be 30 x 106 psi and 11.6 x 10° psi respectively. (30pts.) Pulley 30" Steel wire rope, 0.05" diameter 25' Loaded mine cart 50°
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