The maximum mass m that a person can hold in a hand when the arm is positioned w

Question

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 23kg . Assume the forearm and hand have a total mass of 2.0 kgwith a CG that is 15 cmfrom the elbow, and that the biceps muscle attaches 5.0 cmfrom the elbow. What is the maximum force (Fmax) that the biceps muscle exerts on the forearm?

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 23kg . 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

180 - 105 = 75 deg

Moments balance:

23*g*35 + 2*g*15 = F_max*sin75 *5

Putting g = 9.81 m/s^2 we get

F_max = 1696.06 N

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