How to Interpret Cartesian Vector Form of Couple Moment?
What is the significance of the 'i' component in the Cartesian vector form?
a. Represents magnitude in x-axis direction
b. Represents magnitude in y-axis direction
c. Represents magnitude in z-axis direction
d. Indicates overall moment magnitude
The significance of the 'i' component in the Cartesian vector form:
The 'i' component in the Cartesian vector form represents the moment's magnitude in the x-axis direction. In this case, it signifies that the moment is acting solely in the x-direction.
A couple moment is a force system composed of two parallel forces with equal magnitudes and opposite directions, but they do not share the same line of action. The Cartesian vector form represents this couple moment using the 'i' component, which signifies the x-axis direction. In this scenario, the couple moment is given as 2400 i N.m. Here, the '2400' represents the magnitude of the moment, indicating its strength or intensity. The 'i' indicates that the moment is acting solely in the x-axis direction, without any contribution from the y-axis or z-axis. The unit 'N.m' represents Newton-meters, which is the standard unit for moments.
Therefore, when interpreting Cartesian vector form of a couple moment, pay close attention to the 'i' component as it reveals the direction in which the moment is acting within the Cartesian coordinate system.