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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
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∙ 12y ago
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What is a straight line parallel to an axis called?
It's called an ORDINATE. when there is a straight line 100% parallel to the x axis, it's slope is 0. If a line is parallel to the y axis, its slope is undefined, or infinite.
What is the slope of a line parallel to the y-axis?
The slope is undefined.
How Horizontal lines as they go back in space will tend to get?
They will remain horizontal lines. A line parallel to the x-axis will remain a line parallel to the x-axis no matter how far back into space they go.
What does no slope look like on a graph?
An horizontal line . A line parallel with the x-axis. NB A vertical line / a slope parallel with the y-axis is described as 'undefined'.
What is the equation of the line parallel to the y axis and 5 units above it?
That is impossible, because, if it is parallel to it, it can not be above it nor below it.
State and prove perpendicular axis and parallel axis theorem?
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:
Moment of inertia of parallel axis?
This is known as parallel axes theorem. Statement: If IG be the moment of inertia of a body of mass M about an axis passing through its centre of gravity, then MI (I) of the same body about a parallel axis at a distance 'a' from the previous axis will be given as I = IG + M a2
State ane prove perpendicular axis theorem?
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.
What is the moment of inertia of a rod?
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 line y equals -2.5 is parallel to what axis?
y=-2.5 is parallel to the x axis. The equation of the x axis is y=0
What line is parallel to the y-axis?
Any line with the equation [ x = any number ] is parallel to the y-axis.
What can you conclude about the state of motion of an object if displacement time graph is parallel to the time axis?
Said object is not moving
State Perpendicular axis theorem?
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
What is the slope of a line that is parrel to the y- axis?
The slope (or gradient) if the line is parallel to the y-axis, is infinite. If it's parallel to the x-axis the slope is zero.
What is a straight line parallel to an axis called?
It's called an ORDINATE. when there is a straight line 100% parallel to the x axis, it's slope is 0. If a line is parallel to the y axis, its slope is undefined, or infinite.
Which equation represents a line parallel to the x axis?
[ y = plus or minus any number ] is parallel to the x-axis.
Is y equals -2 a parallel line or a perpendicular line?
y=-2 is parallel to the x-axis and perpendicular to the y-axis.
