Howard doesn't Move
Pro Problems > Physics > Motion and Forces > Linear Motion > ForceHoward doesn't Move
Howard is standing in the middle of a skating rink (we'll assume no friction), and his four friends Alice, Bernie, Christopher, and David approach him from each of the four compass directions - north, east, south, and west, respectively.
Alice pushes on Howard with a force of x + 20 Newtons. Bernie pushes on him with a force of 2x + y Newtons. Christopher pushes on him with a force of 2x - y Newtons, and David pushes with a force of 5y Newtons.
Howard, though being pushed from all directions, does not move. Calculate the forces being applied in all four directions.
Solution
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