A 200-kg superhero, falling off a building manages to grab hold of the end of a 3.0 m-long flagpole, 5.0 cm in radius, which saves him from falling any further. After the oscillations have died down, the end of the flagpole is sagging 10 cm. What is the shear modulus of the pole?

Question

Quizplus · Accepted Answer

The shear modulus is given by:$$S=\frac{3mgL}{4\pi r^3	heta}$$where:* S is the shear modulus* m is the mass of the superhero* g is the acceleration due to gravity* L is the length of the flagpole* r is the radius of the flagpole* θ is the angle of deflectionPlugging in the given values, we get:$$S=\frac{3(200	ext{ kg})(9.8	ext{ m/s}^2)(3.0	ext{ m})}{4\pi(0.05	ext{ m})^3(0.10	ext{ rad})}$$$$S=7.5	imes10^6	ext{ N/m}^2$$Therefore, the correct answer is A.

A 200-Kg Superhero, Falling Off a Building Manages to Grab