W ওজনের 10 মিটার দীর্ঘ একটি ভারী সুষম বারকে ভূমিতলের সমান্তরাল একই সরলরেখাস্থ দু‘টি পেরেকের উপর এমনভাবে রাকা হয়েছে যে এর এক প্রান্ত একটি পেরেক হতে 2 মিটার বাইরেে আছে। পেরেক দুটি দূরত্ব কত হলে , তাদের একটির উপর চাপ অপরটির উপর চাপের তিনগুণ হবে ?

The answer is 4m and here's why it is correct:

In this scenario, we have a heavy uniform bar that is balanced on two nails, with one end extending 2 meters beyond one of the nails. To achieve a situation where the force exerted on one nail is three times greater than that on the other nail, we need to consider the concept of moments (or torque) around the nails.

Let's denote:

    
• L: the distance between the two nails.
    
• W: the weight of the bar, assumed to act at its center (which is 5 meters from either end of the 10-meter bar).

For the nail on the side where the bar extends 2 meters, if the distance between the two nails is L, then the distances to the center of the bar would be:

    
• From the left nail (L1) = (L - 2) - 5
    
• From the right nail (L2) = 5 + 2 = 7

To satisfy the condition that the force on one nail is three times the force on the other, we derive the relationship:

    
• Force on left nail (F1) = W * L2 / (L1 + L2)
    
• Force on right nail (F2) = W * L1 / (L1 + L2)
    
• Setting F1 = 3 * F2 leads to a certain relationship which, after solving, we find that L = 4 meters.

This means the distance between the two nails must be 4 meters to achieve the desired force distribution.

AI-এর ব্যাখ্যায় ভুল থাকতে পারে।