MICROFABRICATION AND MEMS course Problem 3: (Robot strength scaling effects)- 20

Question

MICROFABRICATION AND MEMS course

Problem 3: (Robot strength scaling effects)- 20 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, eg. 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 Leg, length L, cross sectional moment I, at angle Clearance from ground, h Top view Side View Figure 1: Cubic microrobot with four legs 7. For a very wide variety of animals, the strength of a muscle scales as its cross-section; in other words, the maximum force that a given muscle can exert is given by

Explanation / Answer

A brief review is provied on the relationship of strength to muscle cross sectional area (csa) it is commonly believed that maximal force and csa are strongly releated it has been reported that trained participants had a significantly larger force to csa ratio (f/csa) than untrained males and females

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