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PPT: Equilibrium of a Rigid Body | Engineering Mechanics - Civil Engineering (CE) PDF Download

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 Page 1


Objectives
1. To introduce the concept of the free-
body diagram for a particle.
2. To show how to solve particle 
equilibrium problems using the 
equations of equilibrium.
Page 2


Objectives
1. To introduce the concept of the free-
body diagram for a particle.
2. To show how to solve particle 
equilibrium problems using the 
equations of equilibrium.
Page 3


Objectives
1. To introduce the concept of the free-
body diagram for a particle.
2. To show how to solve particle 
equilibrium problems using the 
equations of equilibrium.
Definitions
1. A particle is in equilibrium if it is at rest if 
originally at rest or has a constant velocity if 
originally in motion. 
2. Static equilibrium denotes a body at rest.
3. Newton’s first law is that a body at rest is 
not subjected to any unbalanced forces.
Page 4


Objectives
1. To introduce the concept of the free-
body diagram for a particle.
2. To show how to solve particle 
equilibrium problems using the 
equations of equilibrium.
Definitions
1. A particle is in equilibrium if it is at rest if 
originally at rest or has a constant velocity if 
originally in motion. 
2. Static equilibrium denotes a body at rest.
3. Newton’s first law is that a body at rest is 
not subjected to any unbalanced forces.
F0 ?
?
r
Static Equilibrium
Page 5


Objectives
1. To introduce the concept of the free-
body diagram for a particle.
2. To show how to solve particle 
equilibrium problems using the 
equations of equilibrium.
Definitions
1. A particle is in equilibrium if it is at rest if 
originally at rest or has a constant velocity if 
originally in motion. 
2. Static equilibrium denotes a body at rest.
3. Newton’s first law is that a body at rest is 
not subjected to any unbalanced forces.
F0 ?
?
r
Static Equilibrium
F is the vector sum of all
forces acting on the particle.
?
r
Static Equilibrium
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FAQs on PPT: Equilibrium of a Rigid Body - Engineering Mechanics - Civil Engineering (CE)

1. What is the concept of equilibrium in a rigid body?
Ans. Equilibrium in a rigid body refers to a state where the body remains at rest or continues to move with constant velocity. In this state, the sum of all the external forces acting on the body is zero, and the sum of all the external torques acting on the body is also zero.
2. How do you calculate the equilibrium of a rigid body?
Ans. To calculate the equilibrium of a rigid body, you need to consider the forces and torques acting on it. First, analyze the forces acting on the body and determine if their sum is zero in both the horizontal and vertical directions. Then, analyze the torques acting on the body and check if their sum is zero. If both conditions are satisfied, the body is in equilibrium.
3. What are the conditions for rotational equilibrium?
Ans. The conditions for rotational equilibrium in a rigid body are that the sum of all the torques acting on the body must be zero and the sum of all the forces acting on the body must also be zero. These conditions ensure that the body is neither rotating nor translating.
4. Can a rigid body be in equilibrium if it is moving?
Ans. Yes, a rigid body can be in equilibrium even if it is moving. This is possible when the body is moving with a constant velocity, i.e., its acceleration is zero. In such cases, the net force acting on the body is zero, and the body remains in equilibrium.
5. How does the concept of equilibrium apply in real-life situations?
Ans. The concept of equilibrium is widely applicable in various real-life situations. For example, when a book is placed on a table, it remains at rest due to the equilibrium of forces acting on it. Similarly, a seesaw remains balanced when two individuals of different weights sit on either side, indicating the equilibrium of torques. Understanding equilibrium helps in analyzing the stability and balance of structures, objects, and systems in everyday life.
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