Question

A gymnast does a one-arm handstand. The humerus, which is the upper arm bone between the elbow and the shoulder joint, may be approximated as a 0.29-m-long cylinder with an outer radius of 1.20 x 10^-2 m and a hollow inner core with a radius of 4.2 x 10^-3 m. Excluding the arm, the mass of the gymnast is 68 kg. Bone has a compressional Young's modulus of 9.4 x 10⁹ N/m². (a) What is the compressional strain of the humerus? (b) By how much is the humerus compressed?

Humerus

Answer 1

A = ñ (8% - 72 ) A T [1.1.20x102)² = ( 412 x 153729 A = 3.97 xlo-4 m² . 68 x 9. 80 Strain - z OL = AL = AL = (9.4 X10 (30978 104). 1.78 x 10-4 Strain xron (1.78 810) co-29) 5.162x105m