A 27 cm long tendon was found to stretch 7.0 mmby a force of 14.9 N . The tendon

Question

A 27 cm long tendon was found to stretch 7.0 mmby a force of 14.9 N . The tendon was approximately round with an average diameter of 8.6 mm .

Calculate the Young's modulus of this tendon.

The maximum mass m that a person can hold in a hand when the arm is positioned with a 105 angle at the elbow as shown in (Figure 1) is 30 kg . Assume the forearm and hand have a total mass of 2.0 kg with a CG that is 15 cm from the elbow, and that the biceps muscle attaches 5.0 cm from the elbow.

What is the maximum force Fmax that the biceps muscle exerts on the forearm?

Explanation / Answer

Cross-section area of the tendon, A = d2/4 = * 8.62 / 4 = 58.1 mm2

Young's modulus, Y = Stress/Strain = (F/A) / (L/L)

=> Y = (14.9/58.1) / (7/270) = 9.89 N/mm2 = 9.89 * 10-6 N/m2

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