Stick figures pulling down a tree using a rope. On the left they are just starti

Question

Stick figures pulling down a tree using a rope. On the left they are just starting; on the right, the tree is starting to come do wn. In both cases the rope makes the same angle to the tree o·pn the movie The Lord of the Rings: The Two Towers, nasty creatures uproot tall trees by attaching ropes to the trees and pulling very hard. (See figure.)lf 51 ° to the tree, and the tension in the rope is 37000 N, what is the torque applied to the tree about its base? A. 7.4x10+04 m N B. 2.1x10 05 m-N C. 4.8x10 04 m-N D. 3.7x10 04 m N If the center of gravity of the tree is directly over the base of the tree, does the weight of the tree exert a torque about its base? Yes 0 Once the tree starts to bend so that its center of gravity is no longer directly over the base of the tree, does the weight of the tree exert a torque about its Yes No

Explanation / Answer

1.

the torque is calculated as follows

t = rFsin@

= 7.4*37000*sin51

= 2.1e+5

option B is correct.

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