151-M3 Supplement rev 1

# 151-M3 Supplement rev 1 - M3 Procedure to determine F3 in...

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M3 Procedure to determine F 3 in section V.2 and V.3 Refer to fig.1. We know the directions of 1 F G and 2 F G . The vector 2 1 F F G G + lies somewhere within the angle φ defined by 1 F G and 2 F G . Since 0 3 2 1 = + + F F F G G G 2 1 3 F F F G G G = . Thus 3 F G lies somewhere within the arc AB. The following procedure can be followed to find both magnitude and direction of 3 F G Step 1. Load the first and second hangers with m 1 and m 2 . Leave the third hanger empty for the time being. Pull down on the string of the third hanger so that the ring is approximately centered around the peg P. Step 2 . Scan the position of the third pulley within the arc AB. At some specific position of the pulley within the arc AB the ring will move with respect to the peg P. This defines the angle θ 3 . Now load the third hanger with a test mass. One of the following two distinct outcomes will occur: Outcome A (see fig. 2a).
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