1,242 prompts matching "Using change of base to prove a stated relation"
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Learn: Two particles joined by a light inextensible string over a smooth pulley
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Quiz: The tension in the string joining two connected particles
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Show All Working: A lift, and the person standing in it
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Worked Example: The normal reaction on a body resting on a smooth incline
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Practice: The frictional force on a body on a rough incline
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Common Mistakes: The work done against friction on an incline
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Quiz: The centripetal force, and what supplies it in a given situation
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Practice: A car rounding a bend on a level road
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Explain Back: A car on a banked track
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Practice: The maximum speed and the maximum acceleration in simple harmonic motion
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Explain Back: The displacement written as x equals a sin omega t
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Show All Working: A mass on a spring performing simple harmonic motion
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Worked Example: The tension in a stretched elastic string
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Practice: The difference between an elastic string and a spring in compression
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Spot My Mistake: A particle hanging in equilibrium on an elastic string
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Show All Working: The work done in stretching an elastic string
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Spot my mistake: Assuming AB and BA give the same matrix
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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit
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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point
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