Functions
template<typename T , typename T2 >
void	EGXMath::HoopThinInertia (const T mass, const T radius, T2(&matrix)[9])
	Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin. \[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \] See https://en.wikipedia.org/wiki/List_of_moments_of_inertia and http://scienceworld.wolfram.com/physics/MomentofInertiaHoop.html. More...

template<typename T , typename T2 >
void	EGXMath::HoopThinInertia (const T mass, const T radius, std::vector< T2 > &matrix)
	Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin. \[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \] See https://en.wikipedia.org/wiki/List_of_moments_of_inertia and http://scienceworld.wolfram.com/physics/MomentofInertiaHoop.html. More...

template<typename T >
void	EGXMath::HoopThinInertia (const T mass, const T radius, glm::mat3 &matrix)
	Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin. \[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \] See https://en.wikipedia.org/wiki/List_of_moments_of_inertia and http://scienceworld.wolfram.com/physics/MomentofInertiaHoop.html. More...

Detailed Description

Function Documentation

template<typename T , typename T2 >

void EGXMath::HoopThinInertia	(	const T	mass,
		const T	radius,
		T2(&)	matrix[9]
	)

Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin.

\[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \]

Parameters

mass	\( m\ (kg)\) is the mass of the hoop.
radius	\( r\ (m)\) is the radius of the hoop.
matrix	\( I_{hoop}\ (kg\ m^2)\) is the moment of inertia tensor matrix.

See also: CircleSurfaceArea() for area of a circle.; CircleCircumference() for circumference of a circle.; HoopThinInertia() for inertial tensor of a thin hoop.; HoopInertia() for inertial tensor of a hoop.; DiskThinInertia() for inertial tensor of a thin disk.; DiskInertia() for inertial tensor of a disk.; CylinderInertia() for inertial tensor of a cylinder.; SphereInertia() for inertial tensor of a sphere.

template<typename T , typename T2 >

void EGXMath::HoopThinInertia	(	const T	mass,
		const T	radius,
		std::vector< T2 > &	matrix
	)

Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin.

\[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \]

Parameters

mass	\( m\ (kg)\) is the mass of the hoop.
radius	\( r\ (m)\) is the radius of the hoop.
matrix	\( I_{hoop}\ (kg\ m^2)\) is the moment of inertia tensor matrix.

See also: CircleSurfaceArea() for area of a circle.; CircleCircumference() for circumference of a circle.; HoopThinInertia() for inertial tensor of a thin hoop.; HoopInertia() for inertial tensor of a hoop.; DiskThinInertia() for inertial tensor of a thin disk.; DiskInertia() for inertial tensor of a disk.; CylinderInertia() for inertial tensor of a cylinder.; SphereInertia() for inertial tensor of a sphere.

template<typename T >

void EGXMath::HoopThinInertia	(	const T	mass,
		const T	radius,
		glm::mat3 &	matrix
	)

Finds the moment of inertia tensor, \(I_{hoop}\) of a hoop with radius, \(r\), and mass \(m\) that is infinitly thin.

\[ I_{hoop}=\begin{bmatrix} \frac{1}{2}m\ r^2 & 0 & 0\\ 0 & \frac{1}{2}m\ r^2 & 0\\ 0 & 0 & m\ r^2 \end{bmatrix} \]

Parameters

mass	\( m\ (kg)\) is the mass of the hoop.
radius	\( r\ (m)\) is the radius of the hoop.
matrix	\( I_{hoop}\ (kg\ m^2)\) is the moment of inertia tensor matrix.

See also: CircleSurfaceArea() for area of a circle.; CircleCircumference() for circumference of a circle.; HoopThinInertia() for inertial tensor of a thin hoop.; HoopInertia() for inertial tensor of a hoop.; DiskThinInertia() for inertial tensor of a thin disk.; DiskInertia() for inertial tensor of a disk.; CylinderInertia() for inertial tensor of a cylinder.; SphereInertia() for inertial tensor of a sphere.