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Math Help - Further Maths

  1. #1
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    Further Maths

    A line OP of fixed length L rotates in a plane about the fixed point O. At time t = 0, the line is at the
    position OA. At time t, angle AOP = θ radians and dθ/dt= sin θ. Show that, for all t, the magnitude of
    the acceleration of P is equal to the magnitude of its velocity.

    hey guys could you please explain the concept behind this question and the solution too. Greatly appreciate it.

    Thanks
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  2. #2
    Forum Admin topsquark's Avatar
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    Re: Further Maths

    Quote Originally Posted by notorious96 View Post
    A line OP of fixed length L rotates in a plane about the fixed point O. At time t = 0, the line is at the
    position OA. At time t, angle AOP = θ radians and dθ/dt= sin θ. Show that, for all t, the magnitude of
    the acceleration of P is equal to the magnitude of its velocity.

    hey guys could you please explain the concept behind this question and the solution too. Greatly appreciate it.

    Thanks
    Sounds like a simple pendulum. Note that the speed of point P is going to be v = L ~ \frac{d \theta }{dt} = L~sin(\theta). The tangential acceleration will be the component of the overall force (pointing down through the whole swing) acting in the direction of the velocity. So how do you calculate this?

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