A 3D printed polymer rod measures 142.00 mm in length while on the heated print bed at 58.5°C. After cooling to room temperature at 20.8°C the rod measures 141.53 mm in length. Determine the coefficient of thermal expansion of the polymer.

A short column is composed of two steel segments, each with a length of 5.7 in. Segment (1) is hollow with an outside diameter of 1.30 in. and a wall thickness of 0.14 in. Segment (2) is hollow with an outside diameter of 1.58 in. and a wall thickness of 0.14 in. How much shorter does the column become after a load of P = 670 lb is applied?

A steel rod with a circular cross section is used as a weight hanger. The straight part of the rod is 160 mm long. Determine the minimum diameter D required if this portion of the rod must hold a tensile load of 9.8 N without stretching more than 0.00590 mm.

Stella’s Bakery calculated their net income to be $215,000 before any adjusting journal entries were recorded.  What amount of net income will Stella’s Bakery report after adjusting journal entries are recorded for the following transactions: Depreciated $13,000 for equipment Incurred $37,000 of operating expenses that were not yet paid for.

S&O Industries incurred utility expenses in December 2024 and paid the invoice in January of 2025.  No entry was made in December and when their accountant paid the invoice in January 2025, they recorded the following entry: Utility Expense     $500         Cash                                     $500 Which of the following statements is true regarding the impact of this transaction on the 2024 financial statements:

Long question 2 (Total 20 points) Tests the Core outcomes 1 and 2 A building is modelled as a box of mass m1. It is connected to the ground (L shaped and brown) via a spring k1 and damper c1. During an earthquake, the ground shakes horizontally such that its position is given by u(t) from a fixed reference. The variable y1 is the displacement of the building m1 relative to the ground.  To ‘reduce’ the building motion, a vibration absorber is placed inside the building. It is a mass m2 connected to building via spring k2 and damper c2. The variable y2 is the displacement of m2 relative to the ground (not relative to the building) Your ultimate objectiveWrite all the equations and process to find the TF from U to Y1.   no need to actually find it. Only worry about the motion in the x-direction (which is unaffected by gravity).All friction between the contacting surfaces is modelled via dampers. There is no extra/other/dry friction.Assume all the displacements are measured from the equilibrium positions, Hence, you don’t need the natural lengths of the springs.      Procedure  Work neatly on paper showing all FBDs, all equations, algebra, etc.Neat + clean + organized  = extra credit! Then show your papers to camera, Then complete the auto-graded questions below.  After exam, submit your work as a pdf on canvas.  You may get some partial credit if it applies.    Auto-graded questions  (1 points) Tensile force by spring k1 is:     Fs1 = k1*()(1 points) Tensile force by spring k2 is:     Fs2 = k2*()(2 points) Tensile force by damper c1 is:   Fd1 = c1*()(2 points) Tensile force by damper c2 is:  Fd2 = c2*()(2 points) Acceleration of mass m1 is:   a1 = ()(2 points) Acceleration of mass m2 is:   a2 = () (3 points) Newton’s law for mass1:  (Fs1 + Fd1) (Fs2 +Fd2) = (3 points) Newton’s law for mass2:  (Fs1 + Fd1) (Fs2 +Fd2) = (3 points) To solve for transfer function from U to Y1, you will solve for from Newton’s law for mass 1 and plug it into Newton’s law for mass2. Then you’ll rearrange that resulting equation so that it’s of the form = something*. This something is your transfer function from U to Y1.     

Question 8 (10 points) Given  Compute then use it to determine if the vector field is conservative.  Be sure to explain your response. A yes or no response is insufficient.  Find  

Question 1 (10 points) Determine the limit or show it does not exist. 

A hydrogen atom initially in its ground level absorbs a photon, which excites the atom to the n=6 level.  What is the wavelength (in nm) and frequency (in 10^15 Hz) of the photon?

Through what potential difference (in Volts) must electrons be accelerated if they are to have the same wavelength as an X-ray of wavelength 0.210nm?   Through what potential difference (in Volts) must electrons be accelerated if they are to have the same energy as an X-ray of wavelength 0.210nm?