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Questões automação

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AUTOMATIZAÇÃO DE 
SISTEMAS MECÂNICOS 
 
 
 
 
Alunos: Dione Anderson da Rocha – 201401229281 
Gabriel Pessi Marinho da Silva – 201307392237 
Igor Dantas de Lima – 201402167687 
Leonardo Vieira Mathias – 201307379796 
Luciano Fernandes Parente - 201402075286 
Marlon Passos Fernandes da Silva – 201401319238 
Marcelo Santos de Deus Júnior – 201402243881 
Paulo Felipe da Silva Brum – 201401323588 
Rodrigo Nunes Charra da Silva - 201401058078 
27
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QUESTÃO 24
�Ɛ�ƌĞĚĞƐ�ĚĞ�ĐŽŵƵŶŝĐĂĕĆŽ�ƐĆŽ�ĞƐƐĞŶĐŝĂŝƐ�ƉĂƌĂ�Ž�ƉƌŽĐĞƐƐŽ�ĚĞ�ĂƵƚŽŵĂĕĆŽ� ŝŶĚƵƐƚƌŝĂů͘��džŝƐƚĞŵ�ĚŝǀĞƌƐŽƐ�ƟƉŽƐ�ĚĞ�
ƌĞĚĞ͕�ĂƐ�ƋƵĂŝƐ�ƐĞ�ĚŝĨĞƌĞŶĐŝĂŵ�Ğŵ�ĂůŐƵŶƐ�ĂƐƉĞĐƚŽƐ͕�ĐŽŵŽ�ƚŽƉŽůŽŐŝĂ�ĚĞ�ĐŽŶĞdžĆŽ͕�ƟƉŽƐ�ĚĞ�ĚŝƐƉŽƐŝƟǀŽƐ�ĂŽƐ�ƋƵĂŝƐ�ƐĞ�
ĐŽŶĞĐƚĂŵ�Ğ�ǀĞůŽĐŝĚĂĚĞ�ĚĞ�ƚƌĂŶƐŵŝƐƐĆŽ͕�ĞŶƚƌĞ�ŽƵƚƌŽƐ͘�^ĆŽ�ĞdžĞŵƉůŽƐ�ĚĞ�ƌĞĚĞƐ�ŝŶĚƵƐƚƌŝĂŝƐ͗��^/͕�,�Zd͕ ��ĞǀŝĐĞEĞƚ͕�
WƌŽĮďƵƐ͕��ƚŚĞƌŶĞƚ͘�EĆŽ�ĞdžŝƐƚĞ�ƵŵĂ�ƌĞĚĞ�ĐĞƌƚĂ�ŽƵ�ĞƌƌĂĚĂ͕�ŵĂƐ͕�Ɛŝŵ͕�ƵŵĂ�ƌĞĚĞ�ŵĂŝƐ�ĂƉƌŽƉƌŝĂĚĂ�ƉĂƌĂ�ĚĞƚĞƌŵŝŶĂĚĂ�
ĂƉůŝĐĂĕĆŽ͘��Ğ�ĂĐŽƌĚŽ�ĐŽŵ�Ž�ƟƉŽ�ĚĞ�ĚŝƐƉŽƐŝƟǀŽ�ƋƵĞ�ĂƐ� ƌĞĚĞƐ�ĐŽŶĞĐƚĂŵ͕�ĞůĂƐ�ƐĆŽ�ĐůĂƐƐŝĮĐĂĚĂƐ�Ğŵ�Sensorbus͕�
DeviceBus͕�FieldBus e Databus͘���ĮŐƵƌĂ�ĂďĂŝdžŽ�ĂƉƌĞƐĞŶƚĂ�Ƶŵ�ĞƐƋƵĞŵĂ�ĚĂ�ĨĂŝdžĂ�ĚĞ�ĂƉůŝĐĂĕĆŽ�ĚĂƐ�ƌĞĚĞƐ͘
Ethernet
Fieldbus
DeviceBus
Controle de
Processo
Controle
Lógico
Dispositivos Simples
Bit
Dispositivos Complexos
BlocoByte
Tipo de Mensagem
Tipos de dispositivos
Sensorbus
�ŵ�ƌĞůĂĕĆŽ�ă�ĐůĂƐƐŝĮĐĂĕĆŽ�ĚĂƐ�ƌĞĚĞƐ�ĚĞ�ĐŽŵƵŶŝĐĂĕĆŽ�ƉĂƌĂ�ĂƵƚŽŵĂĕĆŽ͕�ĂǀĂůŝĞ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �Ɛ� ƌĞĚĞƐ� Sensorbus� ƐĆŽ� ĚĞ� ďĂŝdžŽ� ĐƵƐƚŽ͕� ƵƟůŝnjĂĚĂƐ� ƉĂƌĂ� Ă� ĐŽŵƵŶŝĐĂĕĆŽ� ĚĞ� ƐĞŶƐŽƌĞƐ� Ğ� ĂƚƵĂĚŽƌĞƐ�
ĚŝƐĐƌĞƚŽƐ͕�ĐŽŶƚĞŵƉůĂŶĚŽ�ĚŝƐƚąŶĐŝĂƐ�ƉĞƋƵĞŶĂƐ͘
//͘� �Ɛ�ƌĞĚĞƐ�Devicebus�ĐŽŶĞĐƚĂŵ�ĚŝƐƉŽƐŝƟǀŽƐ�ĐŽŵŽ��>WƐ͕�ĐŽŶƚƌŽůĂĚŽƌĞƐ͕�ƐŝƐƚĞŵĂƐ�ĚĞ�ŵĞĚŝĕĆŽ�ŝŶƚĞůŝŐĞŶƚĞƐ͕�
drivers�Ğ�ŽƵƚƌŽƐ�ĚŝƐƉŽƐŝƟǀŽƐ�ƋƵĞ�ƐĞ�ĐŽŵƵŶŝĐĂŵ�ƉŽƌ�ĚĂĚŽƐ�Ğŵ�ĨŽƌŵĂƚŽ�ĚĞ�bytes.
///͘� �Ɛ�ƌĞĚĞƐ�Fieldbus�ĐŽŶĞĐƚĂŵ�ĚŝƐƉŽƐŝƟǀŽƐ�ŵŝĐƌŽƉƌŽĐĞƐƐĂĚŽƐ�Ğ�ƉŽĚĞŵ�ƚƌĂŶƐŵŝƟƌ�ǀĄƌŝŽƐ�ƟƉŽƐ�ĚĞ�ĚĂĚŽƐ͗�
ĚŝƐĐƌĞƚŽƐ͕�ĂŶĂůſŐŝĐŽƐ͕�ƉĂƌąŵĞƚƌŽƐ͕�ƉƌŽŐƌĂŵĂƐ�Ğ�ŝŶĨŽƌŵĂĕƁĞƐ�ĚĞ�ƵƐƵĄƌŝŽƐ͘
/s͘ � �Ɛ�ƌĞĚĞƐ�Fieldbus ƐĆŽ�ŵĂŝƐ�ĂƉƌŽƉƌŝĂĚĂƐ�ƉĂƌĂ�ĂƉůŝĐĂĕƁĞƐ�ĚĞ�ĐŽŶƚƌŽůĞ�ĚĞ�ƉƌŽĐĞƐƐŽƐ�ĚŝƐƚƌŝďƵşĚŽƐ�ƉŽƌƋƵĞ�
ƉŽƐƐƵĞŵ�ĂůƚĂ�ƚĂdžĂ�ĚĞ�ƚƌĂŶƐŵŝƐƐĆŽ�ĚĞ�ĚĂĚŽƐ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A //͘
B /�Ğ�/s͘
C /͕�//�Ğ�///͘
D /͕�///�Ğ�/s͘
E //͕�///�Ğ�/s͘
*R15201427*
Igor
Realce
ϯϬ
�E'�E,�Z/������KEdZK>�����hdKD���K
QUESTÃO 28
��ĮŐƵƌĂ�ĂďĂŝdžŽ�ĐŽŶƚĠŵ�Ă�ƌĞƉƌĞƐĞŶƚĂĕĆŽ�ĞƐƋƵĞŵĄƟĐĂ�ĚĞ�ƵŵĂ�ĂƉůŝĐĂĕĆŽ�ƉĂƌĂ�Ž�ĐŽŶƚƌŽůĞ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�ĚĞ�
Ƶŵ�ĨŽƌŶŽ�ƵƟůŝnjĂŶĚŽ�Ƶŵ�ĐŽŶƚƌŽůĂĚŽƌ�ůſŐŝĐŽ�ƉƌŽŐƌĂŵĄǀĞů�;�>WͿ͘�K�ƐĞŶƐŽƌ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�Ğŵ�ĐŽŶũƵŶƚŽ�ĐŽŵ�Ž�
ƚƌĂŶƐĚƵƚŽƌ�ĨŽƌŶĞĐĞ�Ƶŵ�ƐŝŶĂů�ĂŶĂůſŐŝĐŽ�ϬͲϭϬ�s�ͬ�ϮϬͲϭϱϬΣ��ĞŶǀŝĂĚŽ�ĂŽ��>W͕ �Ž�ƋƵĂů�ƉŽƌ�ƐƵĂ�ǀĞnj͕�ĞŶǀŝĂ�Ƶŵ�ƐŝŶĂů�
ĚĞ�ϬͲϮϬ�ŵ��ƉĂƌĂ�Ă�ǀĄůǀƵůĂ͕�ƉĞƌŵŝƟŶĚŽ�Ă�ǀĂƌŝĂĕĆŽ�ĚĞ�ƐƵĂ�ĂďĞƌƚƵƌĂ�Ğ�Ă�ĚŽƐĂŐĞŵ�ŐƌĂĚĂƟǀĂ�ĚĂ�ƋƵĂŶƟĚĂĚĞ�ĚĞ�
ĐŽŵďƵƐơǀĞů�ĞŶǀŝĂĚŽ�ĂŽ�ĨŽƌŶŽ͘��ƐƐŝŵ͕�ƉŽĚĞͲƐĞ�ŵŽĚŝĮĐĂƌ�Ă�ƚĞŵƉĞƌĂƚƵƌĂ�ĚŽ�ĨŽƌŶŽ�ĐŽŶĨŽƌŵĞ�Ă�ŶĞĐĞƐƐŝĚĂĚĞ͘
Sinal de comando de
abertura da válvula
Sensor de temperatura
0-10 V/ 20-150 °C
Combustível
Válvula proporcional
Sinal de controle da temperatura
Forno
Chama Transdutor
0-20 mA
Unidade
A/D CLP
Unidade
D/A
&ŝŐƵƌĂ�ϭ
WZh��Ed�͘�Automação industrial͗�W>�͕�ƚĞŽƌŝĂ�Ğ�ĂƉůŝĐĂĕƁĞƐ�;ĐƵƌƐŽ�ďĄƐŝĐŽͿ͘�ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ͗�>d�͕�ϮϬϭϬ�;ĂĚĂƉƚĂĚŽͿ͘
�ŵ�ƌĞůĂĕĆŽ�ĂŽ�ƐŝƐƚĞŵĂ�ĚĞ�ĂƵƚŽŵĂĕĆŽ�ĂƉƌĞƐĞŶƚĂĚŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K�ƵƐŽ�ĚĂ�ƵŶŝĚĂĚĞ��ͬ��ĚĞ�ϴ�ďŝƚƐ�ŶŽ��>W�ƉĞƌŵŝƚĞ�ĂƋƵŝƐŝĕĆŽ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�ĐŽŵ�ƵŵĂ�ƌĞƐŽůƵĕĆŽ�ĚĞ͕�
ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ͕�Ϭ͕ϱϬϴ�Σ�͘
//͘� ��ƵŶŝĚĂĚĞ��ͬ��ŶŽ��>W�ƉŽĚĞ�ƐĞƌ�ƐƵďƐƟƚƵşĚĂ�ƉŽƌ�Ƶŵ�ŵſĚƵůŽ�ĚĞ�ƐĂşĚĂ�ĚŝŐŝƚĂů�Ă�ƌĞůĠ�ĞƐƉĞĐŝĮĐĂĚŽ�ƉĂƌĂ��Ƶŵ�
ǀĂůŽƌ�ĚĞ�ƐĂşĚĂ�ĚĞ�ĐŽƌƌĞŶƚĞ�ĚĞ�ĂƚĠ�ϭϬ��͕�ǀĂůŽƌ�ŵĂŝŽƌ�ƋƵĞ�Ž�ƐŝŶĂů�ĚĞ�ƐĂşĚĂ�ĞŶǀŝĂĚŽ�ƉĂƌĂ�Ă�ǀĄůǀƵůĂ͘
///͘� WĂƌĂ�ĐŽŵƵŶŝĐĂĕĆŽ�ĞŶƚƌĞ�Ž��>W�Ğ�Ƶŵ�ƐŝƐƚĞŵĂ�^�����;ƐƵƉĞƌǀŝƐŽƌLJ�ĐŽŶƚƌŽů�ĂŶĚ�ĚĂƚĂ�ĂĐƋƵŝƐŝƟŽŶͿ͕��ƉŽĚĞŵ�
ƐĞƌ�ƵƐĂĚĂƐ͕�ĞŶƚƌĞ�ŽƵƚƌĂƐ͕�ƌĞĚĞ�ŝŶĚƵƐƚƌŝĂů�WZK&/�h^�ŽƵ�ĐŽŵƵŶŝĐĂĕĆŽ�ƐĞƌŝĂů�ĐŽŵ�ƉƌŽƚŽĐŽůŽ�DK��h^͕�
ƐĞŶĚŽ�Ă�ƉƌŝŵĞŝƌĂ�ŵĂŝƐ�ŽŶĞƌŽƐĂ�ƋƵĞ�Ă�ƐĞŐƵŶĚĂ͘
/s͘ � K�ƐŝƐƚĞŵĂ�ƐƵƉĞƌǀŝƐſƌŝŽ�ƉŽĚĞ�ƐĞƌ�ƉƌŽŐƌĂŵĂĚŽ�ĚŝƌĞƚĂŵĞŶƚĞ�ŶŽ��>W͕ �ƐĞŵ�Ă�ŶĞĐĞƐƐŝĚĂĚĞ�ĚĞ�ĚŝƐƉŽƐŝƟǀŽƐ�
ĂĚŝĐŝŽŶĂŝƐ͕�ƌĞĚƵnjŝŶĚŽ�Ž�ĐƵƐƚŽ�ĚĞ�ŝŵƉůĞŵĞŶƚĂĕĆŽ�ĚŽ�ƐŝƐƚĞŵĂ�ĐŽŵŽ�Ƶŵ�ƚŽĚŽ͘
V. ��ƌĞĂůŝnjĂĕĆŽ�ĚĞƐƐĂ�ĂƵƚŽŵĂĕĆŽ�ƌĞƋƵĞƌ�Ƶŵ��>W�ĚĞ�ŐƌĂŶĚĞ�ƉŽƌƚĞ͕�ĚĞǀŝĚŽ�ĂŽ�ƐŝƐƚĞŵĂ�ŽƉĞƌĂƌ�Ğŵ�ŵĂůŚĂ�
ĨĞĐŚĂĚĂ͕�Ž�ƋƵĞ�ŝŵƉůŝĐĂ�Ž�ƵƐŽ�ĚĞ�ďůŽĐŽƐ�ĞƐƉĞĐşĮĐŽƐ�ĚĞ�ƉƌŽŐƌĂŵĂĕĆŽ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�///͘
C //�Ğ�/s͘
D ///�Ğ�s͘
E /s�Ğ�s͘
*R15201430*
Igor
Realce
ϯϭ
�E'�E,�Z/������KEdZK>�����hdKD���K
QUESTÃO 29
K�ĞƐƚƵĚŽ�ĚĂ� ĐŝŶĞŵĄƟĐĂ�ĚŝƌĞƚĂ� ĚĞ�Ƶŵ�ŵĂŶŝƉƵůĂĚŽƌ�
ƌŽďſƟĐŽ� ƚĞŵ� ĐŽŵŽ� ŽďũĞƟǀŽ� ŽďƚĞƌ� ĞƋƵĂĕƁĞƐ� ƉĂƌĂ�
Ž� ĐĄůĐƵůŽ� ĚĂ� ƉŽƐŝĕĆŽ� Ğ� ĚĂ� ŽƌŝĞŶƚĂĕĆŽ� ĚŽ� ĞĨĞƚƵĂĚŽƌ�
ĚŽ� ƌŽďƀ� Ğŵ� ƌĞůĂĕĆŽ� ă� ƐƵĂ� ďĂƐĞ� ĐŽŵŽ� ĨƵŶĕĆŽ� ĚĂƐ�
ǀĂƌŝĄǀĞŝƐ� ĚĂƐ� ũƵŶƚĂƐ͘� WĂƌĂ� ĚĞƚĞƌŵŝŶĂƌ� ĂƐ� ĞƋƵĂĕƁĞƐ�
ĚĂ� ĐŝŶĞŵĄƟĐĂ� ĚŝƌĞƚĂ� ĚĞ� ŵĂŶŝƉƵůĂĚŽƌĞƐ� ƌŽďſƟĐŽƐ�
ĚĞ� ĐĂĚĞŝĂ� ĂďĞƌƚĂ͕� ƵƐƵĂůŵĞŶƚĞ� ƐĆŽ� ƵƟůŝnjĂĚŽƐ� ŽƐ�
ƉĂƌąŵĞƚƌŽƐ�ĚĞ��ĞŶĂǀŝƚͲ,ĂƌƚĞŶďĞƌŐ͘�K�ƋƵĂĚƌŽ�ĂďĂŝdžŽ�
ƚƌĂnj� ĞƐƐĞƐ� ƉĂƌąŵĞƚƌŽƐ� ƉĂƌĂ� Ƶŵ� ƌŽďƀ� ĐŽŵĞƌĐŝĂů�
ĞƐƉĞĐşĮĐŽ͘
WĂƌąŵĞƚƌŽƐ�ĚĞ��ĞŶĂǀŝƚͲ,ĂƌƚĞŶďĞƌŐ
:ƵŶƚĂ�i ai ;ŐƌĂƵƐͿ ai ;ĐŵͿ di θi ;ŐƌĂƵƐͿ
1 0 0 50 θ1
2 90 0 d2 90
�ϯ 0 0 d3 0
4 0 0 150 θ4
5 0 0 10 θ5
�Žŵ�ďĂƐĞ�ŶĂ�ƐŝƚƵĂĕĆŽ�ĚĞƐĐƌŝƚĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂƐƐĞƌĕƁĞƐ�Ă�
ƐĞŐƵŝƌ�Ğ�Ă�ƌĞůĂĕĆŽ�ƉƌŽƉŽƐƚĂ�ĞŶƚƌĞ�ĞůĂƐ͘
/͘� K� ƌŽďƀ� ĐŽŵĞƌĐŝĂů� ĂƉƌĞƐĞŶƚĂĚŽ� ƉŽƐƐƵŝ� ĐŝŶĐŽ�
ŐƌĂƵƐ�ĚĞ� ůŝďĞƌĚĂĚĞ͕� ƐĞŶĚŽ� ĐůĂƐƐŝĮĐĂĚŽ� ĐŽŵŽ�
ƌŽďƀ�ĚŽ�ƟƉŽ�ƉŽůĂƌ͘
PORQUE
//͘� �ĂƐ� ĐŝŶĐŽ� ǀĂƌŝĄǀĞŝƐ� ĚŽ� ƌŽďƀ͕� ĂƐ� ƋƵĞ�
ĐŽƌƌĞƐƉŽŶĚĞŵ� ăƐ� ƚƌġƐ� ƉƌŝŵĞŝƌĂƐ� ũƵŶƚĂƐ�
ƐĆŽ͗� ƵŵĂ� ĚĞ� ƌŽƚĂĕĆŽ� Ğ� ĚƵĂƐ� ĚĞ� ƚƌĂŶƐůĂĕĆŽ͕�
ƌĞƐƉĞĐƟǀĂŵĞŶƚĞ͘
��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂƐ�ĂƐƐĞƌĕƁĞƐ͕�ĂƐƐŝŶĂůĞ�Ă�ŽƉĕĆŽ�ĐŽƌƌĞƚĂ͘
A �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�Ğ�
Ă�//�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
B �Ɛ�ĂƐƐĞƌĕƁĞƐ� /� Ğ� //� ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ� ǀĞƌĚĂĚĞŝƌĂƐ͕�
ŵĂƐ�Ă�//�ŶĆŽ�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
C ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͕�Ğ�Ă�//�Ġ�
ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͘
D ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�
ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͘
E �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ĨĂůƐĂƐ͘
QUESTÃO 30
hŵ�ĞŶŐĞŶŚĞŝƌŽ�ĚĞ�ĐŽŶƚƌŽůĞ�Ğ�ĂƵƚŽŵĂĕĆŽ�ŶĞĐĞƐƐŝƚĂ�
ĞƐƉĞĐŝĮĐĂƌ� Ƶŵ� ƚƌĂŶƐĚƵƚŽƌ� ĚĞ� ƚĞŵƉĞƌĂƚƵƌĂ� ƉĂƌĂ�
Ƶŵ� ƉƌŽũĞƚŽ� ĚĞ� ĐŽŶƚƌŽůĞ� ĂƵƚŽŵĄƟĐŽ� ĚĞ� Ƶŵ� ĨŽƌŶŽ͘�
�� ƌĞƋƵŝƐŝƚŽ� ĚĞ� ƉƌŽũĞƚŽ� ƋƵĞ� Ž� ĐŽŶƚƌŽůĂĚŽƌ� ůſŐŝĐŽ�
ƉƌŽŐƌĂŵĄǀĞů� ;�>WͿ� ĞƐƚĞũĂ� ůŽĐĂůŝnjĂĚŽ� ŶĂ� ƐĂůĂ� ĚĞ�
ĐŽŵĂŶĚŽ͕�Ă�ƋƵĂů�ĞƐƚĄ�Ă�ƵŵĂ�ĚŝƐƚąŶĐŝĂ�ĚĞ�ϯϬϬ�ŵĞƚƌŽƐ�
ĚŽ�ĨŽƌŶŽ͘
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕� ĐŽŶƐŝĚĞƌĂŶĚŽͲƐĞ�ƋƵĞ�Ž�ĞŶŐĞŶŚĞŝƌŽ�
ĞƐĐŽůŚĞƵ�Ƶŵ�ƚƌĂŶƐĚƵƚŽƌ�ĐŽŵ�ƚƌĂŶƐŵŝƐƐĆŽ�ŶŽ�ƉĂĚƌĆŽ�
ϰ� ŵ�� Ă� ϮϬ� ŵ�͕� ĂǀĂůŝĞ� ĂƐ� ƐĞŐƵŝŶƚĞƐ� ĂƐƐĞƌĕƁĞƐ� Ğ� Ă�
ƌĞůĂĕĆŽ�ƉƌŽƉŽƐƚĂ�ĞŶƚƌĞ�ĞůĂƐ͘
/͘� �� ƚƌĂŶƐŵŝƐƐĆŽ� ĚĞ� ƐŝŶĂů� ĚĞ� ƚƌĂŶƐĚƵƚŽƌĞƐ�
ĚŝƐƚĂŶƚĞƐ�ĚŽ��>W�Ġ�ŵĂŝƐ�ƐĞŐƵƌĂ�ŶŽ�ƉĂĚƌĆŽ�
ϰ�ŵ��Ă�ϮϬ�ŵ�͕�ƋƵĞ�ŶŽƐ�ƉĂĚƌƁĞƐ�Ϭ�s�Ă�ϱ�s�
ŽƵ�Ϭ�ŵ��Ă�ϮϬ�ŵ�͘
PORQUE
//͘� EŽ�ƉĂĚƌĆŽ�ϰ�ŵ��Ă�ϮϬ�ŵ��Ġ�ƉŽƐƐşǀĞů�ŝĚĞŶƟĮĐĂƌ�
ƉĞƌĚĂ�ĚĞ�ƐŝŶĂů�ŶŽƐ�ĐĂďŽƐ�ĚĞ�ƚƌĂŶƐŵŝƐƐĆŽ͕�ĐŽŵŽ͕�
ƉŽƌ�ĞdžĞŵƉůŽ͕�Ğŵ�ƉƌŽďůĞŵĂƐ�ĚĞ�ƌŽŵƉŝŵĞŶƚŽ�
ĚĞ�ĐĂďŽ�ŽƵ�ĚĞƐĐŽŶĞdžĆŽ�ĐŽŵ�Ž��>W͘ ��
��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂƐ�ĂƐƐĞƌĕƁĞƐ͕�ĂƐƐŝŶĂůĞ�Ă�ŽƉĕĆŽ�ĐŽƌƌĞƚĂ͘
A �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�Ğ�
Ă�//�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
B �Ɛ�ĂƐƐĞƌĕƁĞƐ� /� Ğ� //� ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ� ǀĞƌĚĂĚĞŝƌĂƐ͕�
ŵĂƐ�Ă�//�ŶĆŽ�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
C ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͕�Ğ�Ă�//�Ġ�
ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͘
D ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�
ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͘
E �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ĨĂůƐĂƐ͘
ÁREA LIVRE
*R15201431*
Igor
Realce
ϯϯ
�E'�E,�Z/������KEdZK>�����hdKD���K
QUESTÃO 32
K�ƐŝƐƚĞŵĂ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ�ĚĞ�ƉĞĕĂƐ�ŵŽƐƚƌĂĚŽ�ŶĂ�ĮŐƵƌĂ�/�Ġ�ĐŽŵƉŽƐƚŽ�ƉŽƌ�ƵŵĂ�ĞƐƚĞŝƌĂ�ĚĞ�ĞŶƚƌĂĚĂ�ĚĞ�ƉĞĕĂƐ�;�ϭͿ͕�
ƵŵĂ�ĞƐƚĞŝƌĂ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ�ĚĞ�ƉĞĕĂƐ�;�ϮͿ͕�ĚƵĂƐ�ĞƐƚĞŝƌĂƐ�ĚĞ�ƐĂşĚĂ�;�ϯ�Ğ��ϰͿ͕�Ğ�ĚŽŝƐ�ĐŝůŝŶĚƌŽƐ�ƉŶĞƵŵĄƟĐŽƐ�ĚĞ�
ĂĕĆŽ�ƐŝŵƉůĞƐ�ĐŽŵ�ƉŽƐŝĕĆŽ�ĚĞ�ƌĞƉŽƵƐŽ�ƌĞĐƵĂĚŽ�;�ϭ�Ğ��ϮͿ͘��Ɛ�ĞƐƚĞŝƌĂƐ�ĚĞ�ƐĂşĚĂ��ϯ�Ğ��ϰ�ĞƐƚĆŽ�ƐĞŵƉƌĞ�ůŝŐĂĚĂƐ͘
b
a
c
e
dE2
C1 C2
E1 E3 E4
g
&ŝŐƵƌĂ�/
K�ƐŝƐƚĞŵĂ�ĚĞǀĞ�ĨƵŶĐŝŽŶĂƌ�ĚĞ�ĨŽƌŵĂ�ƋƵĞ�ĂƐ�ƉĞĕĂƐ�ĚĞǀĞŵ�ƐĞƌ�ĚŝƐƚƌŝďƵşĚĂƐ�ƉĂƌĂ�ĂƐ�ĞƐƚĞŝƌĂƐ�ĚĞ�ƐĂşĚĂ��ϯ�Ğ��ϰ͕�
ĂůƚĞƌŶĂĚĂŵĞŶƚĞ͕�ŝƐƚŽ�Ġ͕�ƋƵĂŶĚŽ�ƵŵĂ�ƉĞĕĂ�Ġ�ĞŵƉƵƌƌĂĚĂ�ƉĞůŽ�ĐŝůŝŶĚƌŽ��ϭ͕�Ă�ƉƌſdžŝŵĂ�ĚĞǀĞ�ƐĞƌ�ĞŵƉƵƌƌĂĚĂ�ƉĞůŽ�

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