The equation for calculating the kinetic energy of a rotating and translating bar is E = 1/2 * (m * v^2 + I * ω^2), where E is the kinetic energy, m is the mass of the bar, v is the linear velocity, I is the moment of inertia, and ω is the angular velocity.
The linear velocity has a direct effect on the kinetic energy of a rotating and translating bar. As the linear velocity increases, the kinetic energy also increases, since it is directly proportional to the square of the velocity in the kinetic energy equation.
The moment of inertia, represented by the symbol I, is a measure of an object's resistance to changes in its rotational motion. It has a direct effect on the kinetic energy of a rotating and translating bar, as it is directly proportional to the square of the angular velocity in the kinetic energy equation.
The mass of the bar, represented by the symbol m, also has a direct effect on its kinetic energy. As the mass increases, the kinetic energy also increases, since it is directly proportional to the square of the mass in the kinetic energy equation.
If a rotating and translating bar is subjected to external forces, such as friction or air resistance, the kinetic energy will decrease. This is because the external forces will do work on the bar, converting some of its kinetic energy into other forms of energy, such as heat or sound.