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A boy and a girl are sitting on a porch swing that is $1.8\text{ meters}$ long. The swing weighs $150\text{ Newtons}$. There are two chains connected at the two ends of the swing. The boy weighs $650\text{ Newtons}$ and sits $0.75\text{ meters}$ from the left side of the swing. The girl weighs $500\text{ Newtons}$ and sits $0.5\text{ meters}$ from the right side of the swing.

Created for Albert.io. Copyright 2016. All rights reserved.

What is the tension in the chain on the left, ${ T }_{ A }$ and the tension in the chain on the right, ${ T }_{ B }$ when the swing is in equilibrium?

A

${ T }_{ A}=547\text{ N}$
${ T }_{ B }=753\text{ N}$

B

${ T }_{ A}=815\text{ N}$
${ T }_{ B }=485\text{ N}$

C

${ T }_{ A}=593\text{ N}$
${ T }_{ B }=707\text{ N}$

D

${ T }_{ A}=519\text{ N}$
${ T }_{ B }=631\text{ N}$

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