The world\'s largest sugar cube is held by two ropes, with force F_A and F_B as
ID: 1838504 • Letter: T
Question
The world's largest sugar cube is held by two ropes, with force F_A and F_B as shown in figure. If the resultant force is 400 N (acting along the L axis), resolve the components to find the magnitude of F_A and F_B Little known fact. Noah used a pulley system to build his Ark. The rope, ABC pulls the pulley joint at Point B. The forces, as seen in the inset figure. F_RA and F_BC have the same magnitude (as we will Learn later in a section on pulleys). The magnitude of the total resultant force on the block by F|_BA and F_BC is 200 lb. Calculate the magnitude of F_BA and F_BC. Two ropes are trying to pull a large metal question mark. Resolve only the Force F_I into components along the u and v axes.Explanation / Answer
Perpendicular to L net force is zero.
hence,
- FA sin50 + FB sin30 = 0
FB = 1.532 FA ............(i)
along L:
FAcos50 + FB cos30 = L
putting FB from (i)
FA cos50 + 1.532 FA cos30 = 400
1.9696 FA = 400
FA = 203 N
FB = 1.532 x 203 = 311 N
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