Mass Moment of Inertia Quiz

What is the formula for the parallel axis theorem?

• I = Icm + Md^2

• I = Icm - Md^2

• I = Icm x Md^2

• I = Icm / Md^2

Explain the concept of the parallel axis theorem.

• The parallel axis theorem only applies to objects with symmetrical shapes.

• The parallel axis theorem is only relevant in the field of electrical engineering.

• The moment of inertia of a body about any axis is equal to the sum of the moment of inertia of the body about a parallel axis through its center of mass and the product of the mass of the body and the square of the distance between the two axes.

• The parallel axis theorem states that the moment of inertia of a body about any axis is equal to the sum of the moment of inertia of the body about a perpendicular axis through its center of mass.

A rod of mass 2 kg and length 3 m is rotated about an axis parallel to the rod and 2 m away from it. Calculate the moment of inertia using the parallel axis theorem.

• 15 kg*m^2

• 5 kg*m^2

• 8 kg*m^2

• 9.5 kg*m^2

Answer explanation

State the conditions under which the parallel axis theorem is applicable.

• The axis of rotation is parallel to the centroidal axis of the object.

• The object has irregular shape.

• The object is not rotating.

• The axis of rotation is perpendicular to the centroidal axis of the object.

What are the units of moment of inertia?

• kg/m

• N/m

• m/s

• kg m^2

Explain the significance of the parallel axis theorem in real-life applications.

• It is used to measure the distance between planets in the solar system

• It is used to calculate the speed of light in a vacuum

• It helps in determining the boiling point of water

• It allows for the calculation of the moment of inertia of an object about an axis that does not pass through its center of mass.