- #1

Inferior Mind

- 14

- 0

FBD

m

_{1}= 2 kg

m

_{2}= 5 kg

μ= .15

g= 9.8 m/s

^{2}

Equation 1 ~

F

_{g}- F

_{T}= F

_{N}

2kg × 9.8m/s

^{2}- 2kg(a) = F

_{T}

Equation 2 ~

F

_{g}= F

_{N}= 5kg (9.8 m/s

^{2})

~ μF

_{N}= .15(49) = 7.35 N

F

_{T}- F

_{F}= ma

F

_{T}= 5kg(a) + 7.35

~Set Equations Equal to Each Other~

19.6 - 2a = 5a - 7.35

26.95 = 7a

a = 3.85 m/s

^{2}

Sub into Eq to get F

_{T}on String

2 (9.8) - 2(3.85) = F

_{T}

F

_{T}= 11.9 N