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What does Hinge Reaction signify ? How do i calculate it ?

  1. Nov 9, 2015 #1

    Sujith Sizon

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    Gold Member

    I recently came across a lot of problems where components of Hinge Reaction were asked along different axis .

    What is hinge reaction ? How do i calculate it ? How do i find its direction ? Does it change angular velocity / acceleration of the body ?


    Sample Question ) A square lamina of side ##a## is hinged at corner ##A## . An impulse ##P_0## is applied on the lamina as shown . Find the impulse on the hinge due to hinge on the lamina just after ##P_0## is applied ?
    http://i.stack.imgur.com/nIAdD.jpg

    My attempt-

    Angular impulse = Change in angular momentum
    ##P_{0}a=\frac{2}{3}ma^2 \omega##
    ##\omega=\frac{3P_0}{2ma}##
    Now i found out centripetal force:
    ##mr {\omega}^2=m\frac{a}{2}{(\frac{3P_0}{2ma})}^{2}##

    But the actual answer to the question is ##\frac{P_0}{4} \sqrt{10}##. Why doesn't the centrepetal force yield an accurate value for hinge reaction ?
     
    Last edited: Nov 9, 2015
  2. jcsd
  3. Nov 10, 2015 #2
    Hello Sujith

    I will try to help you with the problem .

    As a first step , can you identify the direction of velocity of COM of the square just after the impulse ##P_0## is applied ?
     
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