In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes must all pass through a single point in the plane.
Define perpendicular axes , , and (which meet at origin ) so that the body lies in the plane, and the axis is perpendicular to the plane of the body. Let Ix, Iy and Iz be moments of inertia about axis x, y, z respectively, the perpendicular axis theorem states that[1]
This rule can be applied with the parallel axis theorem and the stretch rule to find moments of inertia for a variety of shapes.
If a planar object (or prism, by the stretch rule) has rotational symmetry such that and are equal, then the perpendicular axes theorem provides the useful relationship:
DerivationWorking in Cartesian co-ordinates, the moment of inertia of the planar body about the axis is given by[2]:On the plane, , so these two terms are the moments of inertia about the and axes respectively, giving the perpendicular axis theorem.
The gyroscopic effect is explained by the behavior of a gyroscope. The behavior of a gyroscope is torque applied perpendicular to its axis of rotation and also perpendicular to its angular momentum.
That would have to be when the dipole axis is perpendicular to the field.
It's an Optical Axis.
If you want to catch the image formed by the lens, then the screen will have to be perpendicular to the axis of the lens. That's kind of parallel to the lens ... the lens doesn't actually have any 'plane' since its surfaces are curved.
we can show moment arm as r=torque divide by force.
In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes must all pass through a single point in the plane.Define perpendicular axes , , and (which meet at origin ) so that the body lies in the plane, and the axis is perpendicular to the plane of the body. Let Ix, Iy and Iz be moments of inertia about axis x, y, z respectively, the perpendicular axis theorem states that[1]This rule can be applied with the parallel axis theorem and the stretch rule to find moments of inertia for a variety of shapes.If a planar object (or prism, by the stretch rule) has rotational symmetry such that and are equal, then the perpendicular axes theorem provides the useful relationship:
the moment of inertia of a body about a given axis is equal to the sum of its moment of inertia about a parallel axis passing through its centre of mass and the product of its mass and square of perpendicular distance between two axis Iz=Ix+Iy
if xx and yy be the two axes and the moment of inertia of them be Ixx and Iyy then the moment of inertia about the zz axes will be Izz
The transverse axis is perpendicular to the conjugate axis.
The transverse plane is perpendicular to the longitudinal axis.
the conjugate axis
Yes because the y axis is perpendicular to the x axis at the origin which is (0, 0)
It is the conjugate axis or the minor axis.
The x-coordinate of any point on the y-axis is 0. The y-axis is a line perpendicular to the x-axis. Any point on a line perpendicular to the x-axis has the same x-coordinate. The y-axis is the line perpendicular to the x-axis through 0, and has the equation x = 0; similarly, the x-axis is the line perpendicular to the y-axis through 0 and has the equation y = 0.
The moment of inertia of a cube depends on what its axis of rotation is. About an axis perpendicular to one of its sides and through the centre of the cube is (ML2)/6. Where M is the Mass of the Cube and L the length of its side. Due to the symmetry of the cube, you can find the Moment of Inertia about almost any other axis by using Parallel and Perpendicular Axis Theorems.
the answer can be done by using perpendicular axis theorem that is using Iz=Ix+Iy and the answer is ma*2/12
y=-2 is parallel to the x-axis and perpendicular to the y-axis.