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A mass M is connected to a spring with constant Ks and a damper with constant Kd, and is moving with displacement x with friction Kf. Assume the input if the force f. Find the model of the following mass-spring-damper systems in the state space (find the Newton’s Dynamic Equation). 

The prismatic joint of the robot has the length . The range of joint 1 is 

Which of the objects below has the SMALLEST gravitational potential energy?

A ball is launched into the air. While the ball is coming down from the apex:

Which of the following is INCORRECT about linear work?

4. (8 pts) Match the definitions with the appropriate type of bias or effect shown on the right.

 A Facebook news story declares that eating chocolate increases the risk of bladder cancers.  You click on the article and find that it cites a study where rats who consumed more chocolate had an increased risk of cancer depending on how much they consumed.  Rats who consumed the most had a high risk for bladder cancer whereas rats who did not consume chocolate had an extremely low risk of bladder cancer.  Cancer only developed after chocolate was consumed. All other foods given were the same across the rats. What can you conclude from this study?

2C. (1 pt) Which Species is the Outgroup?

Choose ONE of the following: Remember that you are handwriting this essay and do not need to submit anything but your name in the textbox.  If you have accommodations to type your response, do so here.  To what extent did the weaknesses of political systems lead to the emergence of an authoritarian state in China? To what extent did the social policies in Mao’s China lead to significant change? “Authoritarian states had total control over the population.” With reference to Mao’s China, to what extent do you agree with this statement?

Which of the following is an input to the master production schedule?