$1.$ A woman performs leg extension exercises using her leg as a free weight. Determine how much force her gluteal musculature generates during knee extension at the indicated hip joint position. Her gluteal musculature inserts on the femur at an angle of $=30$ and at a distance dgl $=0\mathrm{.}068$ m from the axis of rotation of the hip. The mass of her thigh is estimated to be mthigh $=6\mathrm{.}45$ kg$,$ and the mass of her leg is mshank $=2\mathrm{.}95$ kg$.$ The distance of the CM of the thigh segment to the hip joint axis is estimated to be dthigh $=0\mathrm{.}136$ m$,$ the equivalent distance to the leg is dshank $=0\mathrm{.}546$ m$.$ The distance of the CM of the total leg to the hip joint axis is dCM $=0\mathrm{.}31$ m$.$ The joint angle $=47$ is the angle between the thigh and to the left horizontal. The total inertia of the leg around the hip joint axis is computed as I $=0\mathrm{.}979$ kgm$2.$ The linear acceleration of the leg$$s CM in the vertical direction is ay $=0\mathrm{.}22$ m$/$s$2$ and in the horizontal direction ax $=0\mathrm{.}25$ m$/$s$2.$ The angular acceleration was measured to be $=-7\mathrm{.}8$ rad$/$s$2($clockwise$).$

a$)$ What is the magnitude of the total gravitational torque Tgra around the hip due to the weights of the shank and thigh?$(3$ pts$.)$

Whatisthemagnitudeof thetotalglutealmuscleforceFgl