In the Previous Two Problems, the Correct Differential Equation for the Position

question 18

Multiple Choice

In the previous two problems, the correct differential equation for the position, $x ( t )$ , of the mass at a function of time, $t$ ,is

• A) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } + x / 4 = 0\)
• B) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } + 2 x = 0\)
• C) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } + 4 x = 0\)
• D) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } + 8 x = 0\)
• E) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } + 32 x = 0\)

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Definitions:

Pilot Device

An interface component used to control and monitor the operation of machinery or equipment, often initiating the start or stop commands.

Control Coil

The coil in a relay or contactor that, when energized, creates a magnetic field to pull in contacts, controlling circuit continuity.

Differential Switches

Devices designed to protect electrical circuits by automatically interrupting the current flow when detecting an imbalance between the incoming and outgoing current.

Pilot Devices

Controls, such as buttons and switches, used to operate machinery or equipment indirectly.