Four equal masses m are so small they can be treated as points, and they are equally spaced along a long, stiff wire of neglible mass. the distance between any two adjacent masses is ℓ . m m m m ℓ ℓ ℓ what is the rotational inertia icm of this system about its center of mass?
a.) (1/2)ml^2
b.) ml^2
c.) 5ml^2
d.) 6ml^2
e.) 2ml^2
f.) 3ml^2
g.) 7ml^2
h.) 4ml^2.

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

The image below shows numerous volcanic mountains in the pacific northwest. what is the most likely cause of the volcanic and earthquake activity in this region?

Explain what happens at the saturation point when adding salt to water at room temperature.