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

otinga

(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
[irp]
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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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