Consider a person who momentarily puts all of your body weight on one leg when you walk or run. The forces acting on the leg and the corresponding biomechanical model of the system are shown in Fig.- Prob. 10(a) and (b). Point O corresponds to the center of rotation of the hip joint. A is the muscle connection point hip abductor with femur; point B is the center of leg severity; and C is the point of application of the force soil reactive. The distances between point A and points O, B, and C are: a = 8.6 cm, b = 34.3 cm, and c = 89.4 cm. The angles that form the femoral neck and the longitudinal axis of the femur with with respect to the horizontal they are alpha= 43° and beta= 79°, respectively. In addition, for this position of the person standing on a leg, it has been estimated that the magnitude of the force exerted by the hip abductor muscle is FM = 2062.6 N and its line of action forms an angle of theta = 69° with respect to the horizontal. If the magnitude of the gravitational force acting on the leg is W1 = 125 N, determine: (a) The total weight W of the person; (b) the magnitude of the reaction force FJ acting in the hip joint; (c) an angle gamma than the line of action of the reaction force of the joint forms with the horizontal.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
Consider a person who momentarily puts all of your body weight on one leg when you walk or run. The forces acting on the leg and the corresponding biomechanical model of the system are shown in Fig.- Prob. 10(a) and (b). Point O corresponds to the center of rotation of the hip joint. A is the muscle connection point hip abductor with femur; point B is the center of leg severity; and C is the point of application of the force soil reactive. The distances between point A and points O, B, and C are: a = 8.6 cm, b = 34.3 cm, and c = 89.4 cm. The angles that form the femoral neck and the longitudinal axis of the femur with with respect to the horizontal they are alpha= 43° and beta= 79°, respectively. In addition, for this position of the person standing on a leg, it has been estimated that the magnitude of the force exerted by the hip abductor muscle is FM = 2062.6 N and its line of action forms an angle of theta = 69° with respect to the horizontal. If the magnitude of the gravitational force acting on the leg is W1 = 125 N, determine: (a) The total weight W of the person; (b) the magnitude of the reaction force FJ acting in the hip joint; (c) an angle gamma than the line of action of the reaction force of the joint forms with the horizontal.
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