यदि दो बल समकोण (90°) पर कार्य करते हैं, तो उनके परिणामी बल का परिमाण क्या होगा?

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. \(R = \sqrt{F_1^2 + F_ 2^2}\)
  2. \(R = F_1 - F_2\)
  3. \(R = 2F_1F_2\cos\theta\)
  4. \(R = F_1 + F_2\)

Answer (Detailed Solution Below)

Option 1 : \(R = \sqrt{F_1^2 + F_ 2^2}\)
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संप्रत्यय:

जब दो बल समकोण (90°) पर कार्य करते हैं, तो पाइथागोरस प्रमेय के आधार पर सदिश योग का उपयोग करके उनका परिणामी बल ज्ञात किया जाता है।

यदि:

  • बल 1 = F1
  • बल 2 = F2
  • उनके बीच का कोण = 90°

परिणामी बल सूत्र:

\( R = \sqrt{F_1^2 + F_2^2} \)

यह सूत्र दो लंबवत सदिशों के परिणामी के परिमाण को देता है।

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