Block B, with mass of 100 kg, is suspended from a 40-kg pulley at O. The...
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Block B, with mass of 100 kg, is suspended from a 40-kg pulley at O. The radius of gyration of the pulley is ko = 0.250 m. A spring is fixed to the hub as shown and it is initially unstreched. When the spring is stretched, it wraps around the hub (radius 100 mm). Determine the following: a) Amount of stretch (elongation) of the spring if block B descends 2 meters (use geometry/trigonometry skills); and b) The required spring constant, k, to cause block B to have zero velocity after descending 2 meters. Block B is given an initial downward velocity of v = 1 m/s. 100 mm k=? - 200 mm B Block B, with mass of 100 kg, is suspended from a 40-kg pulley at O. The radius of gyration of the pulley is ko = 0.250 m. A spring is fixed to the hub as shown and it is initially unstreched. When the spring is stretched, it wraps around the hub (radius 100 mm). Determine the following: a) Amount of stretch (elongation) of the spring if block B descends 2 meters (use geometry/trigonometry skills); and b) The required spring constant, k, to cause block B to have zero velocity after descending 2 meters. Block B is given an initial downward velocity of v = 1 m/s. 100 mm k=? - 200 mm B
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