Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Cross product:
The cross product is a mathematical operation in three-dimensional space that yields a vector perpendicular to the two input vectors, with a magnitude equal to the product of their magnitudes and the sine of the angle between them.
Cross product of unit vectors can be given as,
î × ĵ = k̂
ĵ × k̂ = î
k̂ × î = ĵ
Dot product:
The dot product is a mathematical operation that combines two vectors by multiplying their corresponding components and summing the results, yielding a single scalar value.
Dot product of unit vectors can be given as,
î.î = 1
ĵ.ĵ = 1
k̂.k̂ = 1
î.ĵ = ĵ.k̂ = k̂.î = 0
Step by step
Solved in 3 steps
