Question
Download Solution PDFद्रव्यमान m का एक कण x-y तल में गति करता है। किसी भी क्षण कण के निर्देशांक x = a cos ωt, y = b sin ωt द्वारा दिए गए हैं, जहाँ a, b और ω स्थिरांक हैं। निर्देशांक प्रणाली के मूल के सापेक्ष कण का कोणीय संवेग क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंप्रत्यय:
मूल के सापेक्ष एक कण का कोणीय संवेग निम्न द्वारा दिया जाता है:
जहाँ:
स्थिति सदिश है वेग सदिश है कण का द्रव्यमान है
दिया गया है:
स्थिति सदिश:
वेग सदिश:
गणना:
क्रॉस उत्पाद के लिए सारणिक का उपयोग करते हुए:
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