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Questions and Answers
In static equilibrium, what does the equation $F = 0$ represent?
In static equilibrium, what does the equation $F = 0$ represent?
- The acceleration of the system is zero
- The mass of the system is zero
- The total force acting on the system is zero (correct)
- The system is at rest
What does the equation $M = I\alpha = 0$ represent for a system in static equilibrium?
What does the equation $M = I\alpha = 0$ represent for a system in static equilibrium?
- The system is at rest
- The summation of all moments acting on the system is zero (correct)
- The angular acceleration of the system is zero
- The moment of inertia of the mass is zero
If a system is in static equilibrium, what does it mean when $\alpha = 0$?
If a system is in static equilibrium, what does it mean when $\alpha = 0$?
- The system is not experiencing any force
- The moment of inertia of the mass is zero
- The system is at rest
- The system is not experiencing any angular acceleration (correct)
What does the equation $F = m\textbf{a}$ represent in Newton's second law?
What does the equation $F = m\textbf{a}$ represent in Newton's second law?
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What does it mean when $\textbf{a} = 0$ in the context of Newton's second law?
What does it mean when $\textbf{a} = 0$ in the context of Newton's second law?
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Study Notes
Static Equilibrium
- The equation $F = 0$ represents the net force acting on an object in static equilibrium, which is zero.
- The equation $M = I\alpha = 0$ represents the net torque acting on an object in static equilibrium, which is zero.
Rotational Motion
- If a system is in static equilibrium, $\alpha = 0$ means that the object is not rotating or rotating with a constant angular velocity.
Newton's Second Law
- The equation $F = m\textbf{a}$ represents the relationship between the net force acting on an object, its mass, and its acceleration.
- When $\textbf{a} = 0$ in the context of Newton's second law, it means that the object is not accelerating, or in other words, it is moving with a constant velocity.
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