यदि बिंदु A लागू बलों की क्रिया के तहत साम्यावस्था में है तो तनाव का मान TAC =?

F1 Ashik 1.12.20 Pallavi D12

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  1. 520 N
  2. 150 N
  3. 400 N
  4. 450 N

Answer (Detailed Solution Below)

Option 3 : 400 N
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अवधारणा:

लामी की प्रमेय​:

यह बताता है कि यदि एक बिंदु पर कार्यरत तीन बल संतुलन में हैं, तो प्रत्येक बल अन्य दो बलों के बीच के कोण की ज्या के समानुपाती होता है। एक दूसरे के साथ α, β, और γ कोण बनाने वाले एक कण या कठोर निकाय पर कार्यरत तीन बलों FA, FB, FC पर विचार करें।

RRB JE CE 37 15Q Mechanics Chapter Test(Hindi) - Final images Q2

इसलिए, \(\frac{{{F_A}}}{{sin\ \alpha }} = \frac{{{F_B}}}{{sin\ \beta }} = \frac{{{F_C}}}{{sin\ \gamma }}\)

गणना:

दिया हुआ है:

F1 Ashik 1.12.20 Pallavi D12

हमारे पास कोण BAC = 180° - (30° + 60°) = 90° है

कोण BAC = 90°

लामी की प्रमेय​ से,

\(\frac{{{800}}}{{sin~90°}} = \frac{{{T_{AC}}}}{{sin~150° }}\)

TAC = 400 N

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