What do you mean by centroid? What is the difference between center of gravity and centroid?

Exam PrabhuCenter of GravityLeave a Comment on What do you mean by centroid? What is the difference between center of gravity and centroid?

Centroid: It is the geometrical center of any object of figure. It is the weighted average of area of any figure. Actually it referring to a central point that represents the “average” or “balance point” of a shape, object.  …

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If a force acting on a particle is represented by a vector \(\vec{a}\)=5\(\hat{i}\)-10\(\hat{j}\), then find the angle made by the vector with Y axis.If another force \(\vec{b}\)=10\(\hat{i}\)+5\(\hat{j}\) also acts on the same particle simultaneously then, find their resultant vector and angle made with X axis.

Exam PrabhuEngineering MechanicsLeave a Comment on If a force acting on a particle is represented by a vector \(\vec{a}\)=5\(\hat{i}\)-10\(\hat{j}\), then find the angle made by the vector with Y axis.If another force \(\vec{b}\)=10\(\hat{i}\)+5\(\hat{j}\) also acts on the same particle simultaneously then, find their resultant vector and angle made with X axis.

\(\vec{a}\)=5\(\hat{i}\)-10\(\hat{j}\) So the magnitude of the vector \(\vec{a}\), |a|=\(\sqrt{5^{2}  + (-10)^{2}}\) = \(\sqrt{25+100}\) = \(\sqrt{125}\)  =5\(\sqrt{5}\)