State and explain the theorem of parallel axes.

Question: State and explain the theorem of parallel axes.

The theorem of parallel axes is a theorem in physics that states that the moment of inertia of a rigid body about any axis is equal to the sum of its moment of inertia about a parallel axis passing through its center of mass and the product of its mass and the square of the distance between the two axes. In simpler terms, it means that if we know the moment of inertia of a body about its center of mass, we can easily calculate its moment of inertia about any other parallel axis by adding the product of its mass and the square of the distance between the two axes. This theorem is useful in mechanics and engineering as it helps us calculate the rotational motion of a rigid body about different axes, and is applicable in various fields such as robotics, automotive engineering, and aerospace engineering.

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अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था, वर्णन कीजिए? Aage ka vaivahik jivan utar chadhav bhara tha varnan kijiye

सवाल: अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था, वर्णन कीजिए? अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था। उन्होंने दो विवाह किए, लेकिन दोनों विवाह सफल नहीं हो पाए। उनका पहला विवाह 1937 में राजकुमारी रत्नलता से हुआ था। यह विवाह अज्ञेय के परिवार की इच्छा के विरुद्ध था। अज्ञेय के पिता हीरानंद वात्स्यायन संस्कृत के विद्वान थे और वे चाहते थे कि अज्ञेय एक योग्य विदुषी से विवाह करें। रत्नलता एक साधारण परिवार से थीं और वे संस्कृत नहीं जानती थीं। इस कारण से, अज्ञेय के परिवार वालों ने इस विवाह का विरोध किया। अज्ञेय और रत्नलता का विवाह कुछ वर्षों तक चलता रहा, लेकिन अंततः उनका तलाक हो गया। इस तलाक के कई कारण थे, जिनमें अज्ञेय की व्यस्त जीवनशैली, रत्नलता की शिक्षा और सामाजिक पृष्ठभूमि में अंतर, और अज्ञेय के परिवार का विरोध शामिल था। अज्ञेय का दूसरा विवाह 1956 में कपिला मलिक से हुआ था। कपिला एक मशहूर संगीतकार थीं और वे अज्ञेय की साहित्यिक प्रतिभा की प्रशंसक थीं। यह विवाह कुछ वर्षों तक चलता रहा, लेकिन अंततः यह भी विफल हो गया। इस विफलता के कारणों में अज्ञेय के व्यस्त जीवनशैली, कपिला की स्वतंत्रताप्रियता,...

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