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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.
In physics what is the law of moments?
An object is in equilibrium when the net force and the net torque on it are zero. to add Moment = Force X Perpendicular distance from pivot. Definition :- it states that the moment of force about an axes is equal to the sum of moments about same axes.
What is the equation for inertia?
There are two laws about inertia. The First Law has no formula. It is just a statement that says "an object will continue at constant velocity ,or at rest, until a net force acts on it". This property that requires a force to change its state of motion (or rest) is called the object's "inertia". The Second Law is a formula that describes how an object will move when a net force acts on it. The formula is F = ma. Where, F, is the force and , a , is the objects acceleration. And , m , is the objects mass, which is a measure of the object's inertia. So you could write the formula as a = F/m and in this way you see if the object's mass (inertia) is increased then in order to get the same acceleration you must increase the force. These two laws describe how an object's inertia ,or mass, resists changes in its motion.
How is a negative acceleration different from a positive acceleration?
Actually, it depends on how you define the coordinate axes, but usually when moving forward, negative acceleration decreasesspeed, positive acceleration increasesit.
What happens when the state of motion of an object suddenly changes?
An object in motion has inertia and momentum. Inertia is what's keeping the object in a constant motion. Momentum is the mass of the object times it's velocity it travels in. If the object makes a sudden change, it loses its inertia and a force is applied in the opposite direction (or whatever direction its changing in). The force would be negative if the object is traveling in a positive direction. If the object starts to travel in a circular motion, centripetal force occurs tangent toward the origin. Since motion is dependent on velocity, its considered a vector, which has a positive and negative direction depending on the x,y, and z axes.
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
To design a building which type of moment of inertia you use about xaxis about yaxis or polar moment of inertia?
We use y_y axes
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.
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:
In physics what is the law of moments?
An object is in equilibrium when the net force and the net torque on it are zero. to add Moment = Force X Perpendicular distance from pivot. Definition :- it states that the moment of force about an axes is equal to the sum of moments about same axes.
Calculate the area of an ellipse?
Area = pi*a*b where a and b are the semi-major and semi-minor axes.
How do you calculate the ellipse area?
Area = pi*a*b where a and b are the semi-major and semi-minor axes.
How do you calculate the circumference of an oval?
If it is an elliptic oval, the circumference can be calculated by πab, where a and b are the lengths of the minor and major axes.
What is the equation for inertia?
There are two laws about inertia. The First Law has no formula. It is just a statement that says "an object will continue at constant velocity ,or at rest, until a net force acts on it". This property that requires a force to change its state of motion (or rest) is called the object's "inertia". The Second Law is a formula that describes how an object will move when a net force acts on it. The formula is F = ma. Where, F, is the force and , a , is the objects acceleration. And , m , is the objects mass, which is a measure of the object's inertia. So you could write the formula as a = F/m and in this way you see if the object's mass (inertia) is increased then in order to get the same acceleration you must increase the force. These two laws describe how an object's inertia ,or mass, resists changes in its motion.
What is the name of the quadrilateral which has diagonals that are different in length and has two axes of symmetry?
trapezoid
A line graph contains?
Two axes, each representing a different variable.
