Sage-Tips

What is the physical meaning of product of inertia?

For product of inertia, it’s how much angular momentum you get about a different axis when you rotate about the first axis. Using Ixy for example. If you rotate about the x-axis at some angular velocity, multiply that angular velocity by Ixy and that’s how much angular momentum you get about the y axis.

What is the product moment of inertia?

a quantity that characterizes the mass distribution in a body or mechanical system. Products of inertia are the sums of the products formed by multiplying the mass mk of each point of the body or system by the product of two of the coordinates xk, yk, zk of the point.

What is the physical meaning of momentum?

Momentum can be defined as “mass in motion.” All objects have mass; so if an object is moving, then it has momentum – it has its mass in motion. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.

What is the name given to the product of mass and velocity of a body?

Momentum
Momentum is given to the product of mass and velocity of a body.

What is the definition of the moment of inertia of a rigid body?

The moment of inertia, also known as the mass moment of inertia, angular. mass or rotational inertia, of a rigid body is a quantity that determines. the torque needed for a desired angular acceleration about a rotational axis; similar. to how mass determines the force needed for a desired acceleration.

What is moment of inertia and product inertia?

The moment of inertia (I), however, is always specified with respect to that axis and is defined as the sum of the products obtained by multiplying the mass of each particle of matter in a given body by the square of its distance from the axis. …

What is the physical quantity of momentum?

The unit of momentum is the product of the units of mass and velocity. In SI units, if the mass is in kilograms and the velocity is in meters per second then the momentum is in kilogram meters per second (kg⋅m/s).

What is momentum Class 9 short answer?

Hint: Momentum can be defined as the function of an object’s mass and velocity. Momentum can be well defined as the measure of the kinetic energy of the object. In simple words, the momentum is the product of mass and velocity. Complete answer: In simple words, the momentum deals with the quantity of the motion.

What is the physical quantity that measures the quantity of motion?

Momentum is the physical quantity which is the measure of the quantity of motion of a moving body. It depends on mass and velocity of the body.

What is the product of mass of a body?

Linear Momentum is the product of mass of a body and its velocity.

Is the moment of inertia tensor a physical quantity?

The entries in the moment of inertia tensor (ie the moments of inertia and the products of inertia) as a whole certainly have physical consequences. But (unlike, say, a component of a force) a product of inertia on its own does not appear to have any physical consequence. If so, it is a “mathematical artefact with no definite physical meaning”

What does the product of inertia represent?

Like in the Maxwell stress tensor, product term represents is shear force. Product of inertia can be thought of as the property of a body that relates how much angular momentum you will get about one axis when you rotate it about the other axis at 1 rad/s. There is a simpler analogy.

What is the physical significance of the mass moment of inertia?

Physical significance of the Mass Moment of Inertia is the Inertia (Resisting Force with in the body) of the body against the rotation of the body just in the same way as inertia for the linear movement .

What are the principal axes of inertia?

the tensor of inertia is diagonal, then these axes are called the principal axes of inertia. The Search for Principal Axes and Moments of Inertia as an Eigenvalue Problem Three orthogonal principal axes of inertia always exist even though in bodies without symmetries their