Question

Problem 4: (Robot strength scaling effects) - all students, G-15 pts- UG 25 pts 1) Consider a four legged "microrobot" consisting of a cubic body, and four single dimensional "legs" arranged in the corners as shown in Figure 1. Assume that the legs are passive, e.g. they flex to support the weight of the robot (Figure 1 shows the robot at the moment it is placed on the ground). Assume that the dimensions of the legs and body are proportional, and that the legs are made from a light material with negligible mass, and Young's modulus E. Under small deflection conditions, calculate the equilibrium height of the robot body, and discuss what happens as we scale the microrobot 2) Do Problem 7, chapter 3 from Pelesko text. Are your conclusions consistent with part 1)? Body, density p Leg, length L, cross sectional moment I, at angle α Clearance from ground, h Top view Side View Figure 1: Cubic microrobot with four legs

Answer 1