What is the equation of parallel axis?

I = moment of inertia of the body. Ic = moment of inertia about the centre. M = mass of the body. h2 = square of the distance between the two axes.

What is parallel axis theorem explain in brief?

The parallel axis theorem states that, the moment of inertia of a body about any axis is equal to the moment of inertia about parallel axis through its center of mass plus the product of the mass of the body and the square of the perpendicular distance between the two parallel axes.

What is the formula of theorem of parallel axis Mcq?

6. What is the formula of theorem of parallel axis? IAB = Ah2 + IG.

What is the theorem of parallel lines?

If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

What is the formula of theorem perpendicular axis?

The perpendicular axis theorem states that the moment of inertia of a planar lamina (i.e. 2-D body) about an axis perpendicular to the plane of the lamina is equal to the sum of the moments of inertia of the lamina about the two axes at right angles to each other, in its own plane intersecting each other at the point …

What is parallel axis theorem and where is it applied?

The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner’s theorem, named after Christiaan Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body about any axis, given the body’s moment of inertia about a parallel axis through …

What is the formula of theorem of parallel axis IAB?

What is Parallel Axis Theorem? The moment of inertia of a body about an axis parallel to the body passing through its centre is equal to the sum of moment of inertia of the body about the axis passing through the centre and product of the mass of the body times the square of the distance between the two axes.

What is the three parallels theorem?

Three Parallel Lines Theorem If three parallel lines intersect two transversals, then they divide the transversals proportionally.

Which is the correct formula for the axis of symmetry?

One formula works when the parabola’s equation is in vertex form and the other works when the parabola’s equation is in standard form . If your equation is in the standard form $$ y = ax^2 + bx + c $$ , then the formula for the axis of symmetry is: $ \\red{ \\boxed{ x = \\frac {-b}{ 2a} }} $

How to find axis of symmetry of a parabola?

One formula works when the parabola’s equation is in vertex form and the other works when the parabola’s equation is in standard form . Explore the relationship between the axis of symmetry and graph of a parabola by changing the values of a, b and c of the parabola plotter below

Is the directrix perpendicular to the axis of symmetry?

The straight line that is used to generate a curve is directrix. This is the line from which the parabola curves away. The directrix is perpendicular to the axis of symmetry. The Parabola Formula for the equation of a parabola given in its standard form, y = ax 2 + bx + c is given below:

How can you identify symmetry in an equation?

Identifying Symmetry in Equations Graphs of Equations on a coordinate plane can have symmetry with respect to the X-Axis, Y-Axis, and/or the Origin. Some equations have no symmetry, and some equations have multiple types of symmetry. Each type of symmetry can be determined individually using either graphical or algebraic test methods.