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A carrom board 4ftxx4ft square has the q...

A carrom board `4ftxx4ft` square has the queen at the centre. The queen hit by the striker moves to the front edge, rebounds and goes in the hole behind the striking line. Find the magnitude of displacement of the queen (a). from the centre to the front edge (b). from the front edge to the hole and (c). from the centre to the hole.

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When you stepped into a hole bored completely through the centre of earth, you will oscillate back and forth nearly in simple harmonic motioin. The time for each round trip is nearly 90minutes which is equal to the time-period of polar satellite orbiting close to earth.
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A carrom board 4ftxx4ft square) has the queen at the centre. The queen hit by the striker moves to the front edge, rebounds and goes in te hole behind the striking line. Find the magnitude of displacement of the queen a. from the centre to the front edge b. from teh front edge to teh hole and c. from the centre to teh hole.

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If 'a' be the diameter of the sircle, find the distance of centre of mass of the remainder from the centre of the circle.

Knowledge Check

  • A square hole is punched out of a circular lamina of diameter a. The diagonal of the square is equal to the radius of the circle and one of the corners is at the centre of the circle . The distance of the C.G. of the remainder from the centre of circle is

    A
    `(a)/(8pi+4)`
    B
    `(a)/(8pi-4)`
    C
    `(a)/(5pi-4)`
    D
    `(a)/(5pi+4)`
  • A square hole is punched out of a circular lamina of diameter 4 cms., the diagonal of the square being a radius of the circle. Centroid of the remainder from the centre of the circle is at a distance

    A
    `(1)/(2pi+1)`
    B
    `(1)/(2pi-1)`
    C
    `(1)/(pi+1)`
    D
    `(1)/(pi-1)`
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