Physics
Mechanics
Easy

Question

A rod of length ‘l’ is pivoted smoothly at O is resting on a block of height h. If the block moves with a constant velocity V, pick the current alternatives.

  1. text  angular velocity of rod is  end text fraction numerator V cos squared invisible function application theta over denominator h end fraction
  2. text  angular acceleration of  end text rod invisible function application text  is  end text fraction numerator 2 V squared cos cubed invisible function application theta sin invisible function application theta over denominator h squared end fraction
  3. text  angular velocity of rod is  end text fraction numerator V cos squared invisible function application theta over denominator h end fraction
  4. text  tangential velocity of free end of rod is  end text fraction numerator l V cos squared invisible function application theta over denominator h end fraction

The correct answers are: text  angular acceleration of  end text rod invisible function application text  is  end text fraction numerator 2 V squared cos cubed invisible function application theta sin invisible function application theta over denominator h squared end fraction, text  angular velocity of rod is  end text fraction numerator V cos squared invisible function application theta over denominator h end fraction


    V cos invisible function application theta equals fraction numerator h over denominator cos invisible function application theta end fraction cross times omega semicolon space of 1em omega equals fraction numerator V cos squared invisible function application theta over denominator h end fraction
left parenthesis B right parenthesis alpha equals fraction numerator d omega over denominator d t end fraction equals fraction numerator 2 V squared cos cubed invisible function application theta times sin invisible function application theta over denominator h squared end fraction

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