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Q. A diving board oscillates with simple harmonic motion of frequency 5.6 cycles per second, see the figure below. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there not lose contact with the board during the oscillation?

Q. A wooden raft has a mass of 92 kg. When empty it floats in water (density 1000 kg/m3) with 48% of its volume submerged. What mass of sand can be put on the raft without it sinking?

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