घूर्णन कठोरता GJ, लंबाई L और लगाए गए बलाघूर्ण T वाले एक ठोस शाफ्ट के घूर्णन का कोण क्या होगा?

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  1. \(\frac{T}{GJL}\)
  2. \(\frac{L}{GJT}\)
  3. \(\frac{TL}{GJ}\)
  4. \(\frac{GJ}{TL}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{TL}{GJ}\)
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व्याख्या:

हम जानते हैं कि टॉर्सन समीकरण है:

\(\frac{{{\tau _{max}}}}{R} = \frac{{G\theta }}{L} = \frac{T}{J}\)

जहाँ θ बलाघूर्ण का कोण है, T = लगाया गया बलाघूर्ण, L = शाफ्ट की लंबाई, J = ध्रुवीय जड़त्व आघूर्ण, d = शाफ्ट का व्यास

\(J = \frac{{\pi {d^4}}}{{32}}\)

टॉर्सन समीकरण से

\(\theta = \frac{{TL}}{{GJ}}\)

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