Search results
Jul 26, 2024 · Δx = xf − x0, where Δx is the displacement, xf is the final position, and x0 is the initial position. Objects in motion can also have a series of displacements. In the previous example of the pacing professor, the individual displacements are 2 m and −4 m, giving a total displacement of −2 m.
To describe the motion of an object, you must first be able to describe its position (x): where it is at any particular time. More precisely, we need to specify its position relative to a convenient frame of reference.
A position is a vector because it has both a magnitude and a direction: it is some distance from a zero point (the point we call the origin) in a particular direction. With one-dimensional motion, we can define a straight line along which the object moves.
- 823KB
- 8
- Period and Frequency in Oscillations. In the absence of friction, the time to complete one oscillation remains constant and is called the period (T). Its units are usually seconds, but may be any convenient unit of time.
- Characteristics of Simple Harmonic Motion. A very common type of periodic motion is called simple harmonic motion (SHM). A system that oscillates with SHM is called a simple harmonic oscillator.
- Equations of SHM. Consider a block attached to a spring on a frictionless table (Figure 15.4). The equilibrium position (the position where the spring is neither stretched nor compressed) is marked as x=0x=0.
- Summary of Equations of Motion for SHM. In summary, the oscillatory motion of a block on a spring can be modeled with the following equations of motion
2-1 Position, Displacement, and Distance In describing an object’s motion, we should first talk about position – where is the object? A position is a vector because it has both a magnitude and a direction: it is some distance from a zero point (the point we call the origin) in a particular direction. With one-dimensional motion,
The location of an object at any particular time is its position. More precisely, you need to specify its position relative to a convenient reference frame. Earth is often used as a reference frame, and we often describe the position of an object as it relates to stationary objects in that reference frame.
People also ask
What is the difference between initial position and initial acceleration?
What happens if the initial velocity is in the opposite direction?
Why do we need to specify the position of an object?
What happens if a ball reaches a maximum height h?
Why do we need to know the initial velocity of a ball?
Why does a stiff object have a shorter period?
Note that the initial position has the vertical displacement at its maximum value X X; v v is initially zero and then negative as the object moves down; and the initial acceleration is negative, back toward the equilibrium position and becomes zero at that point.
