Question

The Mass Moment of Inertia of a body is a property that measures the resistance of the body to angular acceleration

		True
		False

The Parallel-Axis Theorem is I = I_G + md²

		True
		False

The resultant (summation) moment about the mass center due to all the external forces is equal to the moment of inertia about center of mass times the angular velocity of the body.

		True
		False

Mathematically, three equations with four unknowns cannot be solved.

		True
		False

The kinetic energy of a rigid body can be expressed as the sum of its translational and rotational kinetic energies.

		True
		False

To find the kinetic energy of a rigid body with Pure Translation, the rotational kinetic energy is not zero.

		True
		False

Reactions at fixed supports do no work because the displacement at their point of application is zero.

		True
		False

Answer 1

1.TRUE

Mass moment of inertia is a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the elements distance from the axis.

2.TRUE

Where 'I' is the required moment of inertia at any point O

'IG' is the moment of inertia about centeroid of that body

'd' is the distance between the centeroid and the point O

4.FALSE

We will get infinite number of solution if it is non homogeneous.If it is homogeneous one then it depends on the equation wether it is trivial or non trivial.

To get solutions to such type of equations is to use reduced row echelon method.

5 TRUE

Translational kinetic energy=1/2 mass*speed²

Rotational kinetic energy=1/2 moment of inertia*(angular speed)²

Total kinetic energy is the sum of the translational kinetic energy and rotational kinetic energy.

6.FALSE

Pure translational motion is defined as movement of a body in straight line without any rotation i.e, rotational kinetic energy is zero in the case of pure translational motion.

7.FALSE

May be displacement at the point of application is zero but the reactions at fixed supports are restrained against both rotation and translation. So they can resist any type of force and moment