QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What is the amplitude of vibration of mass 1 oscillating at the input frequency? (This is just another way of asking for the amplitude of the particular solution). The answer must be positive. Use scientific notation with 3 significant figures. Omit units. Use m1 = 1 kg m2 = 1 kg k1 = 127 N/m k2 = 106 N/m k3 = 169 N/m F1 230 cos(1.7t) N F2 = 0.

A mercury thermometer, which has been on a table for some time, is registering the room temperature, 50°F. Suddenly, it is placed in a 395°F oil bath. The following data are obtained for the response of the thermometer. If after 10 seconds the thermometer reading is 176 F, determine the thermometer time constant. Round off the final ans to whole number Please show your complete solution and write readable.

0.4m 6.6 m 0.4m For the above dlagram, there are smooth Journal bearings at supports A B and C. Given that y- 1.2m force. F- 450 N (acting on the coner Jolnt between B and C and parallel to y-z plane) and moment M- 500 Nm, calculate the following: The magnitude of the reaction force, RCY. Please provide the answer In Newtons and report to three significant figures. Please include the unit ("N") within your answer (e.g. If the calculated answer was 55.562 Newtons piease Input: 55.6 N). Answer: The magnitude of the reaction force Rcz. Please provide the answer in klo Newtons and report to three significant figures. Please Include the unit ("kN") within your answer (e.g. if the calculated answer was 55.562 kilo Newtons please input: 5.6 kN). Answer:

Vibration subject A pendulum in your house swings from one side to the other in a span of 0.8 seconds. If this pendulum will be brought to moon, how long should the string be in meters to maintain the same period? Acceleration due to gravity at moon is 1.62m/s2

On an alien planet, the law that expresses the flow of blood through a blood vessel, F, as a function of the radius r of the vessel is f=kr5/2where k is a constant. Certain geological features of this planet produce a gas that changes the radius of blood vessels by 5% at the time of inhalation. What would the corresponding increase in blood flow through the vessel at this time be? Write 1-2 sentences explaining how you found your answer.

Use of Infinite Sequences and Series in Problem Solving of Special Theory of Relativity.  A spacecraft travels fast the earth has a greater velocity (ⱱ) which approximates the speed of light. The time (to) measured in the spacecraft is different from the time (t) measured on earth. The time difference is given, to = t √1- ⱱ 2/c2 = t (1 – ⱱ 2/c2)1/2.

A chamber of unknown volume is filled with an unknown amount of ideal gas. A cylinder with an open bottom and calibrated volume is connected to the chamber and is closed with a movable piston. A gas pressure sensor is also mounted on the chamber as shown in the figure. The whole experimental setup is kept at a constant temperature of 300 K. Doris moves the piston from mark 0 to mark 200 mL in steps of 50 mL and records the corresponding pressure in the chamber (see the table below). She moves the piston very slowly and waits several minutes before recording the pressure values.   VCyl(mL) P(105N/m2)) 0 4.35 50 3.85 100 3.50 150 3.15 200 2.90   Determine the volume of the chamber using Doris's data in the table. (Note: This is a problem that requires linearization of data.)   Determine the number of moles of gas. (Note: This is a problem that requires linearization of data.)

During the tensile test, experiment on a sample of mild steel, data represented in the figure below was obtained with an initial diameter (do) of 0.505 inch. At failure, the reduced diameter (d;) of the sample was 0.305 inch. Gauge Length (Lo) is 2 inches and final Gauge Length (L) is 2.625 inches. Answer the questions below: Us TR 70- 60 - Lo LyP *IR 50 - EL PL: proportimal limit EL Elastic limit UXP = 4pper yield point Lyp : Lower us : uiti mated streagth IR : Indicanteed Strengty Rupture TR: True strength Ruptue 40 AL or 8t P 30 **PL (proportimal limt) Direct strain E strain (in/in) aStress Iblinz (esi) 0.003. ogo o-200

A mechanic is trying to tighten a giant bolt using a wrench. Forces are applied at points A and B. d₁ 0₁ 160 N 570 N 15 degrees 15 degrees 40 degrees 0.35 m 0.19 m F₁ clockwise N-m Which direction is Mo rotating? counter-clockwise d2 A 0₂ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F₁ 03 X F₂ 0₁ 0₂ 03 d₁ d₂ a. Using Varignon's Theorem, determine the magnitude of the moment about the origin, Mo. Round your final answers to 3 significant digits/figures. Mo= F2

The system is released from rest with the spring unstretched. The spring constant is k = 200 N / m. Part A What maximum downward velocity does the right mass attain as it falls? (Figure 1) Express your answer with the appropriate units. HẢ ? v = Value Units Submit Request Answer 4 kg 20 kg