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KVPY2014PhysicsCenter of Mass, Momentum and Collision

A uniform square wooden sheet of side a has its center of mass located at point O as shown in the figure on the left. A square portion of side b of this sheet is cut out to produce and L-shaped sheet as shown in the figure on the right. The center of mass of the L-shaped sheet lies at the point P (in the diagram) when

Options

  1. Aa / b=( 5 -1) / 2
  2. Ba / b=( 5 +1) / 2
  3. Ca / b=( 3 -1) / 1
  4. Da / b=( 3 +1) / 2

Correct answer

B. a / b=( 5 +1) / 2

Step-by-step solution

Finaly com at p X _ am = A ₁ X ₁+ A ₂ X ₂ ~A ₁+ A ₂ (a-b)= a(a-b) (a-b) 2 +b(a-b)(a-b+b / 2) a(a-b)+(a-b) b array l ( a b )²- ( a b )-1=0 a b = 1+ 5 2 array

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