1. Soo hel xoogagga xiisadda T 1 , T 2 , iyo T 3. Iska ilow cufka xarigga.
Solution
(a) Jaantuska jirka ee xorta ah ee walaxda (b) Jaantuska jirka ee xorta ah ee xadhigga
Ku dabaq sharciga ugu horreeya ee Newton ee shayga:
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
Ku dabaq sharciga ugu horreeya ee Newton xadhigga:
∑ 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 ———- Isle'egta 1
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∑ F y = 0
T 3y + T 2y – T 1y = 0
T 3 dembi 30 o + T 2 dembi 40 o – T 1 = 0
0.5 T 3 + 0.64 T 2 – 49 N = 0 ———- Isle'egta 2
Ku beddelashada T 2 ee isla'egta 2 iyo isle'egta 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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