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To find the dimensions of the tray you need to work out the
angle through which the plate turns in one circuit and from that
the length of its circumference that comes into contact with the
edge of the tray as the plate rolls round.
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A triangle PQR, right angled at P, slides on a horizontal floor with Q and R in contact with perpendicular walls. What is the locus of P?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.