- #1

GreenPrint

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## Homework Statement

ok here's the problem in a picture

h t t p : / / i m g 1 9 2 . i m a g e s h a c k . u s / i m g 1 9 2 / 4 5 0 0 / c a p t u r e x x w . j p g

## Homework Equations

Sigma F = ma

Fg = mg

## The Attempt at a Solution

ok I called the 4 kg block m3 and the 2 kg block m2 and the 1 kg block m1

I don't see what is wrong with my work

a. net force on m3 = m3 a = Fg3 - Fg2 - Fg1

divide by m3 to get a

a = (Fg3 - Fg2 - Fg1)/m3

made it look nice

a = (m3 g - m2 g - m1 g)/m3

= g - (m2g)/m3 - (m1 g)/m3

= g(1 - m2/m3 - m1/m3)

=9.8(1 - 2/4 - 1/4) = 2.5 m/s^2

b. net force on m3 = m3 a = Fg3 - Ft3

solved for the force of tension

Ft3 = -m3(a+g) = -4.0(2.5+9.8)= - 49 N

c. Net force m1 = m1 a = -Fg1 + Ft1

solved for Ft1

Ft1 = m1 (a+g) = 1.0(2.5 + 9.8) = 12 N