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 matrices A). 

A type of mechanical energy that is possessed by an object due to its height.

A gymnast is landing from a vault exercise. Which of the following will decrease the average ground reaction force applied to the gymnast during landing?  

Which of the objects below has the GREATEST kinetic energy?

Which of the following is correct about linear work?

Show me the t-distribution table. You may NOT take the exam without it! Show me the front and back of this paper.  You can use a marked-up version of the critical-t table, but no notes on the back, please.  

Increasing the number of phase steps results in an image with better _________ but ______.

  The economy of the US is  and the value of national output equals $ .  Determine the quantity of gross investment for equilibrium when  spending   equals $ , government purchases of goods and services equals $ , the difference between exports and imports equals $ , and the government decided to spend $ to purchase 5 made in     instead of 2 made in    . Calculate and enter the amount of gross investment for equilibrium.   Enter your answer as a whole number. Do not enter units. Do not enter “$”, commas, or decimals.

  Assuming the value of a is   , determine the how much inflation is above the target rate. Please enter your answer using 1 decimal place. Please do not enter any units or symbols, Do not enter “%” or “$” with your numerical answer.

Use the data in the table, which shows the character states for four different traits (nucleotides for four base-pair locations in gene X) for in five different species, to answer the following questions.    Trait: Species X Species Q Species R Species W Species Y Coat Color brown brown gray brown – Ear Length short short long medium – Tail Length long long long long – Snout Length long short medium extra long – Wings yes yes yes yes yes