We first make equilibrium equations of the body by considering all the...
We first make the free body diagram and then we make the equilibrium equations to satisfy the given conditions. This helps us to solve the question easily. As this reduces the part of imagination and increases accuracy too.
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We first make equilibrium equations of the body by considering all the...
Explanation:
The given statement states that we first make equilibrium equations of the body by considering all the three-dimensional forces and then the free body diagram is made, and then equations are made to be applied so as to calculate the center of mass.
Let's break down the statement and analyze each part:
1. Equilibrium Equations:
Equilibrium equations are the equations that are used to determine the state of equilibrium of a body. These equations are based on Newton's laws of motion and are used to analyze the forces and moments acting on a body. The equilibrium equations include both translational equilibrium (sum of forces in all directions is zero) and rotational equilibrium (sum of moments about any point is zero). So, the first part of the statement, which says that equilibrium equations are made by considering all the three-dimensional forces, is true.
2. Free Body Diagram:
A free body diagram is a visual representation of all the forces acting on a body. It is a simplified diagram that shows only the external forces acting on the body and their directions. Free body diagrams are used to analyze the forces acting on a body and determine the net force acting on it. So, the second part of the statement, which says that a free body diagram is made after the equilibrium equations, is also true.
3. Calculation of Center of Mass:
The center of mass is the point at which the entire mass of a body can be considered to be concentrated. It is the average position of all the particles that make up the body. The center of mass can be calculated using the equations derived from the equilibrium equations and the free body diagram. These equations involve the mass distribution of the body and the position of each particle. So, the third part of the statement, which says that equations are made to calculate the center of mass, is true as well.
Therefore, the correct answer is option 'D' as both parts of the statement are true.
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