InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Theorem of parallel axise & theorem of perpendicular axise |
| Answer» Theorem of perpendicular axes-The moment of inertia of planer body about an axes perpendicular to the plane is equal to the sum of the moments of inertia(m.i) about two perpendicular axes concurrent with perpendicular axes and line in the plane of the body.(Izz\'=Ixx\'+ Iyy\') about Z-axes.and now,Theorem of parallel axes -The m.i of a body about any axes is equal to the sum of the m.i of body about a parallel axis passing through it centre of mass and the product of its mass and square of the distance between two parallel axes.(Ic+mass of body*square of distance b/w axes).<br>=>Theorem of Perpendicular AxisThe moment of inertia of planar body about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axes concurrent with perpendicular axis and lying in the plane of the body.Iz=Ix+Iy=>theorem of parallel axis The moment of inertia of a body about any axis is equal to the sum of the moments of inertia of the body about a parallel axis passing through its centre of mass and the product of its mass and the square of distance between the two parallel axes.I=Ig+Md^2<br>Parallel axes theorem : The moment of inertia of a rigid body about any axis is equal to the sum of its moment of inertia about a parallel axis through its centre of mass and the product of mass of the body and the square of distance between the two axes.Perpendicular axes theorem : Moment of interia of a rigid plane lamina about an axis perpendicular to its plane is equal to the sum of its moment of inertia about any two mutually perpendicular axes in iys plane and meeting in the point where the perpendicular axis cuts the lamina Hope this will help u ...... | |