Question

The femur of a human leg (mass 10 kg, length 0.9 m) is in traction, as shown in the figure. The center of gravity of the leg is one-third of the distance from the pelvis to the bottonm of the foot. Two objects, with masses m and m2, are hung at the ends of the leg using pulleys to provide upward support A third object of 8 kg is hung to provide tension along the leg. The body provides tension as well Write a mathematical relationship relating mi to m2 in terms of m2 and numerical coefficients. Is the expression for mi valid for more than one pair of values of mi and m2? O yes O no Suppose the tension force due to i is now applied at the leg's center of mass. Write a new expression relating mi to m2 in terms of m2. numerical coefficients, and given values. If you use a given value in your equation, enter it as a number without units

Answer 1

T(/3 T2(21/3) Mg(0)+8g(0) T1 = 212 m1 2m2 Now equating forces along y, so that the net forces should be zero m1- 2m2 m2- M/3 and mi 2M/3since there is only one pair of values for Mi&m2 NO n(0)-T2 (21/31+ Mg(0) = 0