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Find the tension in the two cords shown in the figure above. Neglect the mass...

Physics
JAMB 2023

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
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Correct Answer: Option C
Explanation

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.

 

 

There is an explanation video available below.


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Explanation Video

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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts