Answer:
Explanation:
Hi!
In order to obtain the Lagrangian of the system we must first write the Kinetic and Potential Energies. Lets orient our axes such that the axis of the cone coincide with the z axis. In cilindrical coordinates we have
- (1)
But, since the particle is constrained to move on the surface of the cilinder, we have the following relation between r and z:
or:
- (2)
and:
replacing (2) in (1) we obtain:
- (3)
Now the kinetic energy is given as:
- (4)
And the potential energy is given by:
So the Langrangian is given by:
And the equations of motion are:
For θ
For r
Obtained from the Euler-Langrange equations
Here the conserved quantity is given by the first equation of motion, namely:
Which is the magnitude of the angular momentum
Right now (late 2015), the difference is about 256 miles.
The geographic north pole is the point where the north end of the
Earth's rotation axis sticks out of the ground. As long as the Earth
continues to spin on the same 'pencil', the geographic poles don't move.
The magnetic north pole is the point on Earth that magnetic compasses
point to. The magnetic poles are the result of the flowing, shifting liquid
iron in the Earth's core, and they move. The magnetic north pole is presently
somewhere in the Canadian Arctic territory, about 256 miles south of the
geographic pole, and moving westward towards Russia at about 35 miles a year.
Speed, v = fλ.
Where f is the frequency in Hertz, wavelength is in meters.
Speed, v = 2*5 = 10
Speed = 10 m/s.
The closest refractive index to the one observed is that of rayon, about 1.51. Therefore, the fiber is likely from the suspect's shirt.
Answer:
10.31 m
Explanation:
To find the result you have to use the formula: h = p / eg.
Where: e = 1000Kg/m^3 g=9.8m/s^2 p= 1.01 * 10^5 Pa
The calculation will be:
h= 1.01 * 10^5 / (1000kg/m^2) * (9.8m/s^2)
h= 10.31 m