Test: Moment Of Inertia For Composite Areas - Mechanical Engineering MCQ

A composite body consists of a series of connected simpler shaped bodies. That is the body is having two material as it’s constitutes. The main thing is that the single material is having the properties of two different materials.

The composite materials are of much importance to the chemical engineer. This means that the composite materials are variedly used in the chemical industries. It can be used in the bridges made for the pipelines, etc.

Yes the composite materials are lighter than the constituent material. This means that the density of the former is lighter than the latter. Thus imparting many qualities to the materials. Thus the material can be used variedly. This means that the moment of inertia of the structure is low.

The product of the centroid of the section to its mass to the total mass of the body is the centre of mass. Thus the answer. The ratio is generally used to locate the coordinate of the centroid or the centre of mass.

The composite materials can be of any shape. This means that the shape of the material can be varied. Thus any shape can be imparted to the composite materials and then be used in the industries variedly.

The total body mass along with the product of gravity always passes through the centre of gravity. All the forces are parallel is the right answer. Thus the total sum of all these small weights add up to the total weight of the body. Which passes through the centre of gravity.

The product of the centroid of the section to its mass to the total mass of the body is the centre of mass. Thus the answer. The ratio is generally used to locate the coordinate of the centroid or the centre of mass.

In the simplification of the loading system the net force acts at the centroid of the composite body. That is if the loading system is in the form of the triangle then at the distance 2 by 3 of the base the net force of the loading will act. And the load will be half the area of the loading.

The external forces are treated differently. They are not added by the force of the distributed loading. That is the force not only acts at the centroid always. It can be shifted also. Depending on the external forces. Thus the use of centroid or centre of mass.

The centre of the gravity’s location and the weight of the composite body is needed to be known. This means that if both of the quantities of the composite body is known then the moment of inertia of the body can be altered. Thus both are very important things to be known about the composite bodies.

The various bodies are composed of infinite number of particles. They are very small in size. They can’t be seen by our naked eyes. Thus the number of particles is not thousands nor hundreds. But it is uncountable.

As right handed coordinate system means that you are curling your fingers from positive x-axis towards y-axis and the thumb which is projected is pointed to the positive z-axis. Thus visualizing the same and knowing the basic members of axis will not create much problem.

The product of the centroid of the section to its mass to the total mass of the body is the centre of mass. Thus the answer. The ratio is generally used to locate the coordinate of the centroid or the centre of mass.

For the equilibrium in the three dimensional system of axis we have all the conditions true as, ∑Fx=0, ∑Fy=0 and ∑Fz=0. Also we have the summation of the forces equal to zero. Which is not a non-zero value.

The cross product needs to take in the proper sequence. If not taken then the answer is just the opposite of the true answer. That’s why, the answer is not the Force and Radius vectors, but the Radius and Force vectors. Because the moment has its direction, as many of the cross products have, and thus precaution needs to be taken.