An object of mass m1 hangs from a string that passes over a very
light fixed pulley P1 as shown in the figure below. The string
connects to a second very light pulley P2. A second string passes
around this pulley with one end attached to a wall and the other to
an object of mass m2 on a frictionless, horizontal table.
(a) If a1 and a2 are the
accelerations of m1 and m2,
respectively, what is the relation between these accelerations?
(Use any variable or symbol stated above as necessary.)
(b) Find expressions for the tensions in the strings in terms of
the masses m1 and m2, and
(c) Find expressions for the accelerations
a1 and a2 in terms of the
masses m1 and m2, and