Acylinder is rising with an acceleration of 1.5m/s^2. determine the size of each force that was labled

We don't know which forces are labelled, because you decided
not to include the picture.

Using the information you've included, all we can say is:

--  The sum of all horizontal forces is zero, because the object
is not accelerating horizontally.

--  The sum of all vertical forces is (mass of the cylinder) times (1.5 m/s²).

An  atom  (ours, not carroll's) consists of a positively charged  nucleus, surrounded by one or more negatively charged particles called  electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6  nm.  *  if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -