The document discusses the ranking of six platforms based on the torque acting on them due to various forces. It provides calculations for the torque values of each platform and ranks them as b > e > c = f > a > d. The ranking is determined by the direction and magnitude of the torques, with a clear explanation of how each value was derived.

1. The six platforms below are initially at rest in deep space. The indicated forces act on the
platforms at endpoints, quarter-points, or midpoints. All forces have the same magnitude. heir
Rank these platforms on the basis of the torque that acts on them, measured about their CM. Let
the counterclockwise direction be positive and rank positive torques as larger than negative
torques. Largest 1. 2.3.4.5. 6. Smallest The ranking cannot be determined based on the
information provided. Explain the reason for your ranking:
Solution
B > E > C = F > A > D
let F is the magnitude of force and L is the total length.
A) TA = -F*(L/4) - F*(L/4)
= -F*L/2
B) TB = F*(L/2) + F*(L/2)
= F*L
C) TC = F*(L/4) + F*(L/4)
= F*L/2
D) TD = F*(L/2) - F*(L/4) + F0
= F*L/4
E) TE = F*(L/2) + F*(L/2) - F*(L/4)
= (3/4)*F*L
F) TE = F*(L/2) + F*(L/2) - F*(L/4) - F*(L/4)
= F*L/2