![Find the tension in the two cords shown in the figure above. Neglect the mass of the cords, and assume that the angle is 38° and the mass m is 220 kg
[Take g = 9.8 ms-2]](/img/aptitude-tests/questions/24491.png "Find the tension in the two cords shown in the figure above. Neglect the mass of the cords, and assume that the angle is 38° and the mass m is 220 kg
[Take g = 9.8 ms-2]")
Find the tension in the two cords shown in the figure above. Neglect the mass of the cords, and assume that the angle is 38° and the mass m is 220 kg
[Take g = 9.8 ms-2]
A.
\(T_1\) = 2864 N, \(T_2\)= 3612 N
B.
\(T_1\)= 3612 N, \(T_2\) = 2864 N
C.
\(T_1\)= 3502 N, \(T_2\)= 2760 N
D.
\(T_1\) = 2760 N, \(T_2\) = 3502 N
Correct answer is C
W = mg = 220 x 9.8 = 2156 N
⇒Sin 38º = \(\frac{2156}{T_1}\)
⇒ \(T_1\) = \(\frac{2156}{Sin 38}\)
⇒ \(T_1\) = 3502 N
Cos 38º = \(\frac{T_2}{T_1}\)
⇒ \(T_2\) = 3502 x Cos 38º
⇒ \(T_2\) = 2760 N
; \(T_1\) = 3502 N, \(T_2\) = 2760 N.