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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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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