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In mechanics and physics, simple harmonic motion (sometimes abbreviated as SHM) ... the initial position at time t = 0 is c 1, while the initial velocity is c 2 ...
The velocity is maximal for zero displacement, while the acceleration is in the direction opposite to the displacement. The potential energy stored in a simple harmonic oscillator at position x is U = 1 2 k x 2 . {\displaystyle U={\tfrac {1}{2}}kx^{2}.}
The animations below depict the motion of a simple (frictionless) pendulum with increasing amounts of initial displacement of the bob, or equivalently increasing initial velocity. The small graph above each pendulum is the corresponding phase plane diagram; the horizontal axis is displacement and the vertical axis is velocity. With a large ...
Simple harmonic motion; ... Velocity is the speed in combination ... The magnitude of this vector represents speed and is found by the distance formula ...
Unprimed quantities refer to position, velocity and acceleration in one frame F; primed quantities refer to position, velocity and acceleration in another frame F' moving at translational velocity V or angular velocity Ω relative to F. Conversely F moves at velocity (—V or —Ω) relative to F'. The situation is similar for relative ...
Trajectory of a particle with initial position vector r 0 and velocity v 0, subject to constant acceleration a, all three quantities in any direction, and the position r(t) and velocity v(t) after time t. The initial position, initial velocity, and acceleration vectors need not be collinear, and the equations of motion take an almost identical ...
A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.. In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).
For a single damped mass-spring system, the Q factor represents the effect of simplified viscous damping or drag, where the damping force or drag force is proportional to velocity. The formula for the Q factor is: =, where M is the mass, k is the spring constant, and D is the damping coefficient, defined by the equation F damping = −Dv, where ...