Consider a particle of mass m that is constrained to move on a cone defined by z? = a2(x2 + y2) (a is a constant) with no external force other than the constraint on the particle. (take z> 0)
a) write down the lagrangian in cartesian coordinates with a lagrange multiplier that imposes the constraints.
b) find the euler-lagrange equations in cartesian coordinates.
c) rewrite the lagrangian cylindrical polar coordinates. solve the constraint for z and substitute the solution into the lagrangian to get a lagrangian l(r, r, φ).
d) find the euler-lagrange equations that follow from l(r, r, 0) that you found. z-component of the angular momentum

d) the number of neutrons plus the number of protons

s the environmental science is a broader field that incorporates many elements of earth and life sciences, whereas ecology is usually more focused on how organisms interact with each other and their surroundings, and often on a very specific population of living things. soo yea

explanation:

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles

as we probably am aware that our atmosphere or air have various levels, each level has different gasses, and each gas has another porousness. at the point when the light originates from lower porousness to higher penetrability, it alters its course. with the goal that implies that when the light originates from the moon to the earth, it alters it's course a lot more occasions. it essentially implies that the state of the light piece of the moon is changed on the earth.

not copied too! hope this !

joke:

h o h o hope you have a merry christmas!