Vectors
x component of the vector = m cos q
y component of the vector = m sin q
Vectors
A vector is a specific quantity drawn as a line segment with an arrowhead at one end. It has an initial point, where it begins, and a terminal point, where it ends. A vector is defined by its magnitude, or the length of the line, and its direction, indicated by an arrowhead at the terminal point. Thus, a vector is a directed line segment.
In physics and engineering, vectors are essential quantities with geometric representations as arrows in one, two, or three dimensions. They can be added, subtracted, or multiplied. A Vector has a magnitude and a direction. Any given vector can be broken into components along the x, y, and z directions. This section explores elements of vector applications in mechanics and the Human Body. In this section, we only consider vectors in a given plane; thus, their components will be projected in only two directions.
TikTok Problem 04
A child is pulling a box using a rope as shown in the figure below. A tension is applied to the box so that it’s moving in the forward direction along the x axis. The mass of the box is 3 kg. The tension on the rope is 60 N. The angle between the rope and the horizontal axis 300. Mark all the other forces and find the net forces along x and y direction. Only set up the tables and find the net forces along x and y directions.
