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ID: 1288592 • Letter: #

Question

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For safety in climbing. a mountaineer uses a nylon rope that is 72 m long and 0.6 cm in diameter. When supporting an 88 kg climber, the rope elongates 1.3 m . Find its Y0ung

For safety in climbing. a mountaineer uses a nylon rope that is 72 m long and 0.6 cm in diameter. When supporting an 88 kg climber, the rope elongates 1.3 m . Find its Y0ung???s modulus. The acceleration of gravity is 9.8 m/s2. Answer in units of Pa Calculate the tension T in the cable. The acceleration of gravity is 9.8 m/s^2. Answer in units of N Two weights attached to a uniform beam of mass 39 kg are supported in a horizontal position by a pin and cable as shown in the figure. What is the tension in the cable which supports the beam? The acceleration of gravity is 9.8 m/s^2. Answer in units of kN

Explanation / Answer


T*sin32*5.2 = (39*9.8*2.6)+(42*9.8*3.2)+(52*9.8*5.2)


T = 1800 N
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tan theta = 4/7======> theta = 29.7

T*sintheta*7 = (36*9.8*5)+(29*9.8*7)


T = 1082.3 N

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E = FL/Ae = (mgL/)Ae = (88*9.8*72)/(3.14*0.3*0.3*1e-4*1.3) = 1.7*10^9 Pa