Rotational work and energy Assignment Help

Assignment Help: >> Rotational Motion >> Rotational work and energy

Law of rotation:

If an object rotates purely about an axis S with angular acceleration  and net torque operating on the body about s is ts, then -   ts = Iα

1919_Rotational work and energy.png

rotational work and energy:

The rotational work given by a force about the fixed axis of rotation is shown as, 2262_Rotational work and energy1.png

Where  the torque is given by the force, and  is the infinitesimally small angular displacement about the axis.

The rotational kinetic energy of an object about a fixed rotational axis is described as,  

Krot= 1/2lω2

Work-Energy Theorem: In complete analog to the work energy theorem for the translator motion, it may be stated for rotational motion as: Wrot = Krot

The net rotational work given by the forces is same to the modification in rotational kinetic energy of the object.

 

Conservation of Mechanical Energy: In the presence of dissipative work done by non-conservative forces, the total mechanical energy of a object is saved.

                 ΔK+ΔU = 0    Or    Kf + Uf = Ki + Ui

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