1. During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 65.0 kg. The Young's modulus for bones is 1.6 x 10¹0 N/m². Think & Prepare 1. For this problem, assume that the leg bones are uniform rods. 2. What kind of stress does the legs of the trapeze artist experience? Tensile, compressive or shear stress? How will you fund the cross-sectional area of the bone? 3. What type of elastic modulus is appropriate for this problem? 4. If the total upward force on the artist is given, what is the force on each leg? Enter to 3 significant figures Amount by which the femurs stretch= cm Reflect: Is this stretch large or small? Compare it to the length of the leg.

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1. During a circus act, one performer swings upside down hanging from a trapeze holding another, also
upside-down, performer by the legs. If the upward force on the lower performer is three times
their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each
is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 65.0 kg. The Young's
modulus for bones is 1.6 x 1010 N/m².
Think & Prepare
1. For this problem, assume that the leg bones are uniform rods.
2. What kind of stress does the legs of the trapeze artist experience? Tensile, compressive or shear
stress? How will you fund the cross-sectional area of the bone?
3. What type of elastic modulus is appropriate for this problem?
4. If the total upward force on the artist is given, what is the force on each leg?
Enter to 3 significant figures
Amount by which the femurs stretch
=
cm
Reflect: Is this stretch large or small? Compare it to the length of the leg.
Transcribed Image Text:1. During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times their weight, how much do the bones (the femurs) in their upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 65.0 kg. The Young's modulus for bones is 1.6 x 1010 N/m². Think & Prepare 1. For this problem, assume that the leg bones are uniform rods. 2. What kind of stress does the legs of the trapeze artist experience? Tensile, compressive or shear stress? How will you fund the cross-sectional area of the bone? 3. What type of elastic modulus is appropriate for this problem? 4. If the total upward force on the artist is given, what is the force on each leg? Enter to 3 significant figures Amount by which the femurs stretch = cm Reflect: Is this stretch large or small? Compare it to the length of the leg.
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