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Question

A rod of mass m and length l is hinged at one of its end A as shown in figure. A force F is applied at a distance x from A. The acceleration of centre of mass (a) varies with x as –

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The correct answer is:


    The rod will rotate about point A with angular acceleration:
     =fraction numerator tau over denominator I end fraction=fraction numerator F x over denominator fraction numerator m l to the power of 2 end exponent over denominator 3 end fraction end fraction=fraction numerator 3 F x over denominator m l to the power of 2 end exponent end fraction
    a =fraction numerator l over denominator 2 end fraction  =fraction numerator F x over denominator m l end fraction
    or a  x
    i.e., a-x graph is a straight line passing through origin.

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