According to perpendicular axis theorem "For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axes through the same point in the plane of the object".
For a rope of yield strength loaded in tension with weight Mg the minimum area A of the rope should be
We know that Yield strength times the Area give the weight of the body.
As Yield strength = weight of body/area
For safety purposes
Yield strength weight of body/area
Mg/A
A Mg/
The relative error in a physical quantity raised to a power k is the k times the relative error in the individual quantity.
for e.g.
maximun relative error,
The damped natural frequency fd is related to the natural frequency fn by a relation
where damping ratio is <= 1
so the fd is less than the natural frequency
When a satellite revolves around a planet in its orbit, it possesses both potential energy (due to its position against the gravitational pull of earth) and kinetic energy (due to orbital motion).
Hence we can say that total energy of circularly orbiting satellite is negative.