Sir Lancelot rides slowly out of the castle and on the 12.0 m long drawbridge th

Question

Sir Lancelot rides slowly out of the castle and on the 12.0 m long drawbridge that passes over the moat. As shown in the figure, a rope attached to the end of the drawbridge forms an angle = 30.0 degrees when the drawbridge is horizontal. The bridge itself has a uniform mass of 400 kg. Lancelot, his lance, horse and armor combine to a total mass of 550 kg.


a)
Assuming the rope does not break, what is the force on the drawbridge pivot when the knight is one-third the way across?

b)
What is the smallest tension that the rope must hold if the knight is to pass the moat?

c)
If the rope breaks under a tension of 6.00 x 103 N, where would the knight be located?

Sir Lancelot rides slowly out of the castle and on the 12.0 m long drawbridge that passes over the moat. As shown in the figure, a rope attached to the end of the drawbridge forms an angle theta = 30.0 degrees when the drawbridge is horizontal. The bridge itself has a uniform mass of 400 kg. Lancelot, his lance, horse and armor combine to a total mass of 550 kg. a) Assuming the rope does not break, what is the force on the drawbridge pivot when the knight is one - third the way across? b) What is the smallest tension that the rope must hold if the knight is to pass the moat? c) If the rope breaks under a tension of 6.00 x 103 N, where would the knight be located?

Explanation / Answer

(5.4*10^3)(12)-(214)(9.8)(6) =9.5488m (558*9.8)

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