The concept must be really understood by every student. The concept of equilibrium is the most basic and most important concept in engineering analysis. In statics, the concept of equilibrium is usually used in the analysis of a body which is stationary, or is said to be in the state of static equilibrium. There is no unbalanced force or unbalanced couple acting on it. A body under such a state is acted upon by balanced forces and balanced couples only. The concept of equilibrium is introduced to describe a body which is stationary or which is moving with a constant velocity. An object which is in static equilibrium is unable to moveĪ1 The correct option is A., which is “it is the equilibrium of a system whose parts are in motion.” This is because static equilibrium is the equilibrium of a system whose parts are at rest.3.3 EQUILIBRIUM EQUATIONS FOR A RIGID BODY It takes place when all the forces acting on an object are balanced and the object is not in motion in relation to the relative planeĭ. It refers to any system in which the sum of the forces, and torque, on each particle of the system happens to be zeroĬ. It is the equilibrium of a system whose parts are in motionī. Q1 Which of the following is not true with regards to static equilibrium?Ī. Furthermore, these vector components belong to the net torque: This vector is equivalent to the scalar equations for the vector components. Moreover, this equation for equilibrium is certainly valid for rotational dynamics about any axis of rotation. The second equilibrium condition refers to the equilibrium condition for torques that one encounters when studying rotational dynamics. The second equilibrium condition for the static equilibrium of a particular rigid body expresses rotational equilibrium: In equilibrium, the rotational acceleration is certainly zero. Here I refer to the rotational inertia of the body in rotation about this axis and the summation is over all torques τ⃗ k of external forces in Equation (2). Similarly to Equation (1), one can state that the rotational acceleration α⃗ of a rigid body about a fixed axis of rotation is due to the net torque acting on the body, or Also, these three scalar equations are for the components of the net force: Moreover, this is the equilibrium condition for forces which one encounters when studying the applications of Newton’s laws.Ībove all, this equation is equivalent to the following scalar equations. The first equilibrium condition for the static equilibrium of a rigid body indicates translational equilibrium:Įquation (2) shows the first equilibrium condition. Furthermore, in equilibrium, the acceleration certainly happens to be zero. Here, the sum of all the external forces acting on the object or body, “m” is its mass and a⃗ CM refers to the linear acceleration of its centre of mass. Conditions and Equations for Static EquilibriumĪccording to Newton’s second law of motion, the linear acceleration of a rigid body takes place due to net force acting on it. Most noteworthy, when two forces act on an object in static equilibrium, they add up to zero. Static equilibrium is certainly a valuable analysis tool. The requirement with rotational equilibrium is that all the external torques cancel each other out. Moreover, the directions and magnitude of external forces cancel each other out. The requirement with translational equilibrium is that the vector sum of all external forces is zero. In contrast, an object in rotational equilibrium is certainly not rotating around an axis. The fundamental and basic condition for static equilibrium is that an object must not be experiencing any type of motion, irrespective of translational or rotational.įurthermore, an object which is in translational equilibrium does not travel from one place to another. Moreover, these rigid structures must maintain static equilibrium under all loading conditions. These rigid structures range from floor system of a house to a massive suspension bridge. This concept is quite important in the design of rigid structures. This is because all the forces which act on it compensate for one another. Static equilibrium takes place when all the forces acting on an object are balanced and the object is not in motion in relation to the relative plane.Īn object which is in static equilibrium is unable to move. Static equilibrium refers to the physical state in which a system’s components are at rest and the net force is zero through the system. Definition and Meaning of Static Equilibrium Students can learn more about static equilibrium here. Simply, it is the equilibrium of a system whose parts are at rest. Static equilibrium refers to any system where the sum of the forces, and torque, on every particle of the system happens to be zero.
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