Question

A-C needed

(5%) Problem 5: Consider a cylindrical cable with a hanging weight suspended from it. 33% Part (a) When the mass is removed, the length the cable is found to be lo- 4.66 m. After the mass is added, the length is remeasured and found to be l,-5.29 m. Determine Young's Modulus Y in N/m for the steel cable if the weight has a mass m 75 kg and the cable has a radius r 0.025 m. Grade Summary Y= Deductions 0% Potential 100% sin) cos0 tan) ( E A4 7 9 Submissions HOME Attempts remaining: 10 (4% per attempt) detailed view cotan asin) acos0 6 acotan sinh) 2 atan) 1 tanh) cosh) cotanh) 0 END + Degrees Radians vO BACKSPACE CLEAR I give up! Submit Hint Feedback Hints: 4% deduction per hint. Hints remaining: 3 Feedback: 5% deduction per feedback 33% Part (b) If we were to double the radius of the wire and re-suspend the weight, which of the following would be correct. &33% Part (c) If this cable is pulled down a distance d in m from its equilibrium position it acts like a spring when released. Write an expression determining the spring constant k of this material using the cable-specific variables Y..lo, and r provided in part A. All conent O 2019 Expert TA,uc

Answer 1

as Y = mglo Т-4L - 75х 4.gҳЕ... 66 (1+ (O-OQ5)?к (5.24 -Ч-66 ) - +6 88 +1.5966 / m2 — - 4.хо* /m" b) Stress would decrease by factor of 4 с) х = чтх* с е Lo