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How do I solve this problem? String one is 5kg String 2 is 11 kg

How Do I Solve This Problem String One Is 5kg String 2 Is 11 Kg class=
How Do I Solve This Problem String One Is 5kg String 2 Is 11 Kg class=

Sagot :

ANSWERS

• Forces on the 5kg block: ,3

,

• Forces on the 11kg block: ,2

,

• Forces balanced? ,Yes, the system is at rest.

,

• Tension in string 1:

,

• Tension in string 2: ,107.91 N

EXPLANATION

First we have to draw the forces on each block:

Hence, block 1 has 3 forces acting on it, while block 2 has 2 forces acting on it.

It is said that the system is at rest, which means that the forces on the system are balanced.

By Newton's second law we know that,

[tex]F_{t1}-F_{t2}-F_{g1}=0[/tex]

And,

[tex]F_{t2}-F_{g2}=0[/tex]

Both equal zero because the blocks are not moving, and therefore there's no acceleration.

From the second equation we can find the tension in string 2,

[tex]\begin{gathered} F_{t2}=F_{g2} \\ F_{t2}=m_2\cdot g \end{gathered}[/tex]

m2 = 11kg and g = 9.81m/s²,

[tex]F_{t2}=11\operatorname{kg}\cdot9.81m/s^2=107.91N[/tex]

Now that we know that the tension in string 2 is 107.91N, we can find the tension in string 1 replacing this into the first equation and solving for Ft1,

[tex]F_{t1}=F_{t2}+F_{g1}[/tex][tex]undefined[/tex]

View image DamiraZ459974
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