Rotated about a line on the surface ?
I = Mass * radius2
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Rotated about a line through the centre :
I = (2 * mass * radius2) / 5
Moment of inertia depends upon the distribution of mass with respect to the axis of rotation.The greater the distance between the bulk of an object's mass and the axis of rotation, the greater the moment of inertia will be. A solid disk has its mass distributed evenly across its diameter, while a ring has its mass concentrated furthest from the centre of rotation.
2/5 mr2
both will have same charge, in both caes charge will reside on surface.
54.7
it is simply because momentum of a solid ball,which is more than a hollow ball as solid ball has a great mass with respect to hollow ball! By Definition of momentum:- vector P=m.v<velocity> direction of momentum is in direction of motion so momentum is greater of solid ball that's why it is hard to catch a solid ball!
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)
Moment of inertia depends upon the distribution of mass with respect to the axis of rotation.The greater the distance between the bulk of an object's mass and the axis of rotation, the greater the moment of inertia will be. A solid disk has its mass distributed evenly across its diameter, while a ring has its mass concentrated furthest from the centre of rotation.
the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.
2/5 mr2
a sphere
For a given outer diameter, the solid shaft is stronger, but it weighs more.For a given weight, the hollow shaft is stronger because it has a bigger diameter.due to less weight & less bending moment..............the resultant bending moment for a solid pipe is much larger than for a hollow one because of their weight difference
That depends on what you want to measure - the diameter, the surface area, the volume, etc.
Measure the diameter and from that calculate the volume, then determine the mass of the sphere on a weighing device. Then it's just density = mass/volume ========================== It again depends on the sphere whether its hollow or its a solid sphere
The disk because it has a lower moment of inertia for a given mass.
An object rotating about its long axis will have a different moment of inertia than when it is rotating about its short axis. A solid disk will have a different moment than a washer, and there are formulas derived for calculating the moments of many common shapes.
Since a sphere is round it is a shape without a face.
The bike wheel. It wil have its mass concentrated out by the rim.