In a human pyramid in a circus, the entire weight of the balanced group is supported by the legs of a performer who is lying on his back (as shown in Fig. 9.5). The combined mass of all the persons performing the act, and the tables, plaques etc. involved is 280 kg. The mass of the performer lying on his back at the bottom of the pyramid is 60 kg. Each thighbone (femur) of this performer has a length of 50 cm and an effective radius of2.0 cm. Determine the amount by which each thighbone gets compressed under theextra load.
A copper wire of length 2.2m and a steel wire of length 1.6 m, both of diameter 3.0 mm, are connected end to end.When stretched by a load, the netelongation is found to be 0.70 mm. Obtainthe load applied.
A structural steel rod has aradius of 10 mm and a length of 1.0 m. A100 kN force stretches it along its length.Calculate
(a) stress,
(b) elongation, and
(c)
strain on the rod. Young’s modulus, of structural steel is 2.0 × 10¹¹ N m-².
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