(20%) Problem 5: During a wrestling match, a 110 kg wrestler briefly stands on o
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Question
(20%) Problem 5: During a wrestling match, a 110 kg wrestler briefly stands on one hand during a maneuver designed to perplex his already moribund adversary Randomized Variables 38.5 cm r 2.5 cm m=110kg By how much does the upper arm bone shorten in length in meters? The bone can be represented by a uniform rod 38.5 cm in length and 2.5 cm in radius with a Young's modulus of 1.6 x 1010N/m 2. Grade Summary Potential Submissions Attempts remaining: 10 0% 100% sin 78 9 cotan0 asin acos0 sinh0 cotanhO % per attempt) detailed view atan() acotanO s cosh0tanhO acotanO S 0 END Degrees O Radians DELCLEAR Submit Hint I give up! Hints: 3% deduction per hint. Hi ints remaining: Feedback: 3% deduction per feedback.Explanation / Answer
given
m = 110 kg
uppoer bone
length l = 38.5 cm
radius r = 2.5 cm
Youngs modulus Y = 1.6*10^10 N/m^2
now stress on the arm = force/area
stress = mg/pi*r^2
strain = dl/l
hence
stress/strain = l*mg/pi*r^2*dl = Y
38.5*110*9.81/pi*(2.5*10^-2)^2*dl = 1.6*10^10
dl = 1.322*10^-6 m
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