Ngā matūriki i roto i te taurite rua-ahu – te whakamahinga o ngā raruraru me ngā otinga o te ture tuatahi a Newton

1. Kimihia ngā kaha kume T1 , T2 , me T3 . Kaua e aro ki te taumaha o te taura.

Ngā matūriki i roto i te taurite rua-ahu – te whakamahinga o ngā raruraru me ngā otinga o te ture tuatahi a Newton 1

otinga

Ngā matūriki i roto i te taurite rua-ahu – te whakamahinga o ngā raruraru me ngā otinga o te ture tuatahi a Newton 2

(a) Kauwhata tinana-kore mō te mea (b) Kauwhata tinana-kore mō te taura

Whakamahia te ture tuatahi a Newton ki te mea:

ΣF y = 0

T 1 – w = 0

T 1 = w = mg

T 1 = (5 kg)(9.8 m/s 2 )

T 1 = 49 kg m/s 2

T 1 = 49 N

Whakamahia te ture tuatahi a Newton ki te taura:

∑ F x = 0

T 3x – T 2x = 0

T 3 cos 30 o – T 2 cos 40 o = 0

0.87 T 3 – 0.77 T 2 = 0

0.87 T 3 = 0.77 T 2

T 2 = 0.87 T 3 / 0.77 = 1.1 T 3 ———- Whārite 1

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∑ F y = 0

T 3y + T 2y – T 1y = 0

T 3 hara 30 o + T 2 hara 40 o – T 1 = 0

0.5 T 3 + 0.64 T 2 – 49 N = 0 ———- Whārite 2

Te whakakapi i a T 2 i roto i te whārite 2 ki roto i te whārite 2:

0.5 T 3 + 0.64 (1.1 T 3 ) – 49 N = 0

0.5 T 3 + 0.70 T 3 – 49 = 0

1.2 T 3 – 49 = 0

1.2 T 3 = 49

T 3 = 49 / 1.2

T 3 = 41 N

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T 2 = 1.1 T 3

T 2 = (1.1)(40.8 N)

T 2 = 45 N

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  1. Ngā matūriki i roto i te taurite kotahi-ahu
  2. Ngā matūriki i roto i te taurite rua-ahu
  3. Te taurite o ngā tinana e honoa ana e ngā taura me ngā pūwero
  4. Te taurite o ngā tinana i runga i te papa whakarara

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