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Ive been working on this all day, and seriously need some help!

Three masses are connected together by strings. Starting from left and going right, mass 1 is 12kg, mass 2 is 24kg, and mass 3 is 31kg. The force applied to the string attached to mass 3 and is pulling right is 65N. (a) Find the acceleration of the system (b) find the tension in the string between mass 1 and mass 2 (c) between mass 3 and mass 2. Assume no friction

Answer 1

The acceleration of the system can be found using F=ma
or a=F/m
a=65/(12+24+31)
=.97 m/s^2

for the tensions, use the same equation considering the forces on each string.

for m1 the force is what is pulling the mass so that it accelerates at .97m/s^2
F=12*.97
=11.64 N

for the string between m2 and m3
F=(12+24)*.97
=34.92

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Answer 2

Easiest way is this:

F = ma = (12 + 24 + 31)a

You know F, so you can get a.

Now you know a, you can calculate the force in the strings.
For mass 1 to 2, the mass being pulled is 12 kg, so F = 12a.
For mass 2 to 3 the mass being pulled is 12 + 24kg, so F = 26a

Answer 3

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