1. The amplitude of an undamped system will not change with time. 2. A system vibrating in air can be considered a damped system. 3. The equation of motion of a single degree of freedom system will be the same whether the mass moves in a horizontal plane or an inclined plane.

Elements Of Electromagnetics
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Indicate whether each of the following statements is true or false:
1.
The amplitude of an undamped system will not change with time.
2.
A system vibrating in air can be considered a damped system.
3.
The equation of motion of a single degree of freedom system will be the same
whether the mass moves in a horizontal plane or an inclined plane.
4.
When a mass vibrates in a vertical direction, its weight can always be ignored in
deriving the equation of motion.
5.
The principle of conservation of energy can be used to derive the equation of
motion of both damped and undamped systems.
The damped frequency can in some cases be larger than the undamped natural
frequency of the system.
7.
The damped frequency can be zero in some cases.
8.
The natural frequency of vibration of a torsional system is given by Jk, /J .where
kT and J denote the torsional spring constant and the polar mass moment of inertia.
respectively.
The undamped natural frequency of a system is given by Vg / 04 where st is the
Vg/S
9.
static deflection of the mass.
For an undamped system, the velocity leads the displacement by 7/2.
11.
The motion diminishes to zero in both underdamped and overdamped cases.
12.
The logarithmic decrement can be used to find the damping ratio.
6.
Transcribed Image Text:Indicate whether each of the following statements is true or false: 1. The amplitude of an undamped system will not change with time. 2. A system vibrating in air can be considered a damped system. 3. The equation of motion of a single degree of freedom system will be the same whether the mass moves in a horizontal plane or an inclined plane. 4. When a mass vibrates in a vertical direction, its weight can always be ignored in deriving the equation of motion. 5. The principle of conservation of energy can be used to derive the equation of motion of both damped and undamped systems. The damped frequency can in some cases be larger than the undamped natural frequency of the system. 7. The damped frequency can be zero in some cases. 8. The natural frequency of vibration of a torsional system is given by Jk, /J .where kT and J denote the torsional spring constant and the polar mass moment of inertia. respectively. The undamped natural frequency of a system is given by Vg / 04 where st is the Vg/S 9. static deflection of the mass. For an undamped system, the velocity leads the displacement by 7/2. 11. The motion diminishes to zero in both underdamped and overdamped cases. 12. The logarithmic decrement can be used to find the damping ratio. 6.
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