The pulley positions are adjusted so that the vector sum of the forces pulls the

Question

The pulley positions are adjusted so that the vector sum of the forces pulls the thigh at the proper angle with respect to the horizontal. The forces T_1 and T_2 are transmitted through the lower leg. If m = 6 kg, compute the magnitude of the force on the femur and the angle of the thigh in the Russell traction system. (Hint: T = mg)
________ N ________ degrees The pulley positions are adjusted so that the vector sum of the forces pulls the thigh at the proper angle with respect to the horizontal. The forces T_1 and T_2 are transmitted through the lower leg. If m = 6 kg, compute the magnitude of the force on the femur and the angle of the thigh in the Russell traction system. (Hint: T = mg)
________ N ________ degrees

Explanation / Answer

SInce this is an equilibrium system. so T=mg (hint) Because the pulleys have no frition so T1=T2=T3. ------ horizontal component. F_x=2T*cos12+T*sin26=140.8(N). vertical component. F_y=T*sin12-T*sin12+T*cos26=52,8(N). So the magnitude. F=sqrt(F_x^2+F_y^2)=150(N). tan(alpha)=F_y/F_x so alpha=20,5(degrees)

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