Monday 6 May 2013

Test Yourself Mark Scheme - Pendulums


(a)   (i) and (ii)

       A suspended object will always stop so that its centre of mass is directly below the point of suspension.
The pendulum bob is a symmetrical object and so the centre of mass must be on an axis of symmetry. For a circle it will always be at the centre of the circle. The position of the stationary pendulum bob is clearly marked and supported with a well-explained reason.

(b)   The frequency would halve. 
Inversely proportional means more than simply ‘as one quantity increases the other quantity decreases’. If two quantities are inversely proportional, when one doubles the other will halve.

(c)   (i)  Hertz 
This could also have been given in symbol form (Hz). However, if you use symbols make sure they are correct. Hz gets a mark but hz would not.

       (ii)   time period, T = 22 ÷ 10 = 2.2 s 
               = 0.45 Hz 
The other values for frequency have been rounded to one decimal place so it would be okay to round this answer to 0.5.

       (iii)  No it does not support the hypothesis. If the hypothesis were correct then doubling the length from 0.5 m to 1.0 m should make the frequency go from 0.7 Hz to 0.35 Hz and it does not.
Marks are not awarded for simply saying yes or no. In this case 1 mark is given for a relevant calculation supporting the ‘no’. The answer could equally have used the example of doubling the length from 0.25 m to 0.50 m.

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