System in dynamic balance

A system in dynamic balance refers to a state where the forces and moments acting on the system are in equilibrium, resulting in a stable and steady motion. This means that the system is not subject to any unbalanced forces or moments that would cause it to accelerate or decelerate.

In the context of mechanical systems, dynamic balance typically refers to rotating or oscillating components like shafts, rotors, or flywheels. Achieving dynamic balance in such systems is essential to ensure smooth operation, minimize vibration, and prevent premature wear or failure.

Explanation of the correct answer

The correct answer to the question is option 'C', which states that a system in dynamic balance is also statically balanced. This means that the system is not only in equilibrium during motion but also when at rest or stationary.

Statically balanced system

A statically balanced system means that the center of gravity of the system is aligned with its axis of rotation or oscillation. In other words, there are no unbalanced forces or torques acting on the system when it is at rest. This is achieved by carefully distributing the mass or weight of the components in such a way that the system remains balanced under static conditions.

Dynamic balance vs. static balance

While dynamic balance ensures equilibrium during motion, static balance focuses on the equilibrium of a system at rest. Both types of balance are important for the smooth operation and longevity of mechanical systems, especially those involving rotating or oscillating components.

A system that is dynamically balanced but not statically balanced may experience issues when it is not in motion. For example, if a rotating shaft is dynamically balanced but not statically balanced, it may vibrate or experience excessive forces when it is at rest. This can lead to premature wear of bearings, increased noise, and reduced overall performance.

On the other hand, a system that is statically balanced but not dynamically balanced may experience issues during motion. Unbalanced forces or moments can cause vibrations, which not only affect the performance and efficiency of the system but also increase the risk of failure and damage to other components.

Therefore, achieving both dynamic and static balance is crucial to ensure the optimal functioning and longevity of mechanical systems.