A robotic actuator uses a high-tensile alloy tendon P of length LLL and circular cross-section of diameter ddd. Under a design tension TTT, tendon P undergoes an elastic extension eee.
Another tendon Q, manufactured from the same alloy, is subjected to the same tension TTT.
Which combination of length and diameter for tendon Q will result in an elastic extension of 0.75e0.75e0.75e?
Length of Q: 3L3L3L, Diameter of Q: 2d2d2d
Length of Q: 1.5L1.5L1.5L, Diameter of Q: 2d2d2d
Length of Q: 3L3L3L, Diameter of Q: 4d4d4d
Length of Q: 6L6L6L, Diameter of Q: 2d2d2d