What is the moment of inertia of the leg and foot about the knee joint if a 0.50 kg shoe is worn on the foot? Assume that the shoe’s mass is all concentrated in one point 45 cm from the knee joint
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
Johnny Manziel has decided that he’s a terrible quarterback (he’s pretty mad about it) and
wants to become a kicker, but he’s concerned about the shoe he has chosen to kick with
and how it will impact the inertia of his leg. The moment of inertia of the lower leg and
foot about an axis through the knee joint is 0.20 kg·m2. What is the moment of inertia of
the leg and foot about the knee joint if a 0.50 kg shoe is worn on the foot? Assume that
the shoe’s mass is all concentrated in one point 45 cm from the knee joint
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