Select the WRONG statement:a)vibrations in machines may be due to loos...
In free or natural vibrations, no force acts on the body after an initial displacement has been imparted to it.
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Select the WRONG statement:a)vibrations in machines may be due to loos...
Statement B: Free vibrations have external force applied at the ends only.
Explanation:
Free vibrations refer to the vibrations that occur in a system without any external force applied to it. These vibrations are a result of an initial disturbance in the system. The system then oscillates back and forth around its equilibrium position.
In free vibrations, there are no external forces acting on the system. The only forces present are the internal forces within the system itself. These internal forces are responsible for the oscillations of the system.
The statement that free vibrations have external force applied at the ends only is incorrect. Free vibrations occur without any external force applied to the system. The vibrations are solely due to the energy stored in the system as a result of the initial disturbance.
Correct statements:
a) Vibrations in machines may be due to loose fittings and lack of balance.
- Vibrations in machines can occur due to various reasons, such as loose fittings and lack of balance. When the components of a machine are not properly fitted or aligned, it can result in vibrations during operation. Similarly, if the components of a machine are imbalanced, it can lead to vibrations as well.
c) Forced vibrations are independent of the natural frequency of vibration.
- Forced vibrations occur when an external force is applied to a system at its natural frequency or at a frequency close to the natural frequency. In forced vibrations, the system is forced to vibrate at a specific frequency, which may or may not be the natural frequency of the system. Therefore, forced vibrations are not independent of the natural frequency.
d) A vibrating system is said to be stable if the amplitude of vibration decreases with time.
- Stability of a vibrating system refers to its ability to return to its equilibrium position over time. If the amplitude of vibration decreases with time, it indicates that the system is losing energy and returning to its stable state. Therefore, a vibrating system is considered stable when the amplitude of vibration decreases with time.
It is important to note that vibrations in mechanical systems can have various causes and characteristics, and it is necessary to analyze and understand the specific system and its behavior to accurately determine the causes and effects of vibrations.
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