Izinhlayiya ezilinganayo ngezindlela ezimbili – ukusetshenziswa kwezinkinga nezixazululo zomthetho wokuqala kaNewton

1. Thola amandla okucindezela T ₁ , T ₂ , kanye no-T _{3. Unganaki} isisindo sentambo.

Isixazululo

(a) Umdwebo womzimba okhululekile wento (b) Umdwebo womzimba okhululekile wentambo

Sebenzisa umthetho wokuqala kaNewton entweni:

ΣF _y = 0

I-T ₁ – w = 0

I-T ₁ = w = mg

I-T ₁ = (5 kg)(9.8 m/s ² )

T ₁ = 49 kg m/s ²

I-T ₁ = 49 N

Sebenzisa umthetho wokuqala kaNewton entanjeni:

∑ 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

I-T ₂ = 0.87 I-T ₃ / 0.77 = 1.1 I-T ₃ ———- Isibalo 1

[irp]

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∑ F _y = 0

T _3y + T _2y – T _1y = 0

T ₃ isono 30 ^o + T ₂ isono 40 ^o – T ₁ = 0

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

Ukufaka u-T ₂ ku-equation 2 ku-equation 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

I-T ₃ = 49 / 1.2

I-T ₃ = 41 N

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I-T ₂ = 1.1 I-T ₃

I-T ₂ = (1.1)(40.8 N)

I-T ₂ = 45 N

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1. Izinhlayiya ezilingana ngokulingana okukodwa
2. Izinhlayiya ezilingana ngezindlela ezimbili
3. Ukulingana kwemizimba exhunywe ngezintambo nama-pulley
4. Ukulingana kwemizimba endizeni ethambekele