Please enable JavaScript.
Coggle requires JavaScript to display documents.
Gravitation, Periodic Motion
When a vibration or oscillation repeats…
Gravitation
Kepler's Law
-
Kepler's Third Law
The squared of time for a planet to complete one revolution around the Sun,T is directly proportional to the cube of the radius of the orbit radius of the planet,R
-
Kepler's Second Law
During equal time intervals, the vector r that points from the sun to a planet sweeps equal areas
-
The motion of satellites
A circular orbit is the simplest case of trajectory. It is also can an important case, since many artificial satellites have nearly circular orbits and the orbits of the planets around the sun are also fairly circular.The only force acting on a satellite in circular orbit around the earth is the earth gravitational attraction, which is directed toward the center of the earth and hence toward the center of the orbit. 
-
Weight
The weight of a body is the total gravitational force exerted on the body by all other bodies in the universe.
-
-
Conic section
The standard formula of the conic sections
-
Periodic Motion
When a vibration or oscillation repeats itself over and over the motion is said to be periodic
-
-
Spring
Hooke's Law
The extension of a spring is proportional to the restoring force, within the elastic limit of the spring
Restoring force, F=-kx
where k=spring constant,N/m
x=the extension of the spring,m
F is negative because it is always a restoring force, pulling or pushing the opposite direction of the displacement.
Applied force is in the opposite direction of the spring force
Stiffness of the spring
The value of the spring constant measures the "stiffness" of the spring.
The larger the value, the stiffer the spring
Elastic Potential Energy
At maximum displacement, the potential energy is at its maximum and kinetic energy is at its minimum.
At the equilibrium position,the potential energy is at its minimum and kinetic is at its maximum
Elastic Potential Energy,U=1/2 kx^2
Kinetic Energy,KE=1/2 mv^2
Pendulum
Energy is conserved
At maximum displacement, velocity is zero, acceleration is largest, Energy is all potential.
At equilibrium, velocity is the largest, acceleration is zero, Energy is all kinetic.
Restoring Force
As the pendulum is pulled back, the x component of the weight get largers and the y component gets smaller.
Therefore, the greater the displacement the larger the restoring force.
For small displacements, the pendulum motion is simple harmonic.
-
-
-
Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particle and inversely proportional to the squared of the distance between them where Fg is the magnitude of the gravitational force on either, particles m1 and m2 their masses, r is the distance between them, and G is a fundamental physical constant called the gravitational constant(=6.66742x10^-11 Nm^2/kg^2)
-