The seismic instrument is mounted on a structure which has a vertical vibration with a frequency of 5 Hz and a double amplitude of 18 mm. The sensing element has a mass m = 2 kg, and the spring stiffness is k = 1.5 kN/m. The motion of the mass relative to the instrument base is recorded on a revolving drum and shows a double amplitude of 24 mm during the steady-state condition. Calculate the viscous damping constant c.

Air enters a nozzle operating at steady state at $45\ \mathrm{lbf}$ $/$ in.${ }^2, 800^{\circ} \mathrm{R}$, with a velocity of $480\ \mathrm{ft} / \mathrm{s}$, and expands isentropically to an exit velocity of $1500\ \mathrm{ft} / \mathrm{s}$. Determine (a) the exit pressure, in $\mathrm{lbf} /$ in.$^2$ (b) the ratio of the exit area to the inlet area. (c) whether the nozzle is diverging only, converging only, or converging-diverging in cross section.

A simple instrument for measuring the acceleration of gravity employs a linear spring from which a mass is suspended. At a location on earth where the acceleration of gravity is $32.174\ \mathrm{ft} / \mathrm{s}^2$, the spring extends $0.291\ \mathrm{in}$. If the spring extends $0.116$ in. when the instrument is on Mars, find the Martian acceleration of gravity. How much would the spring extend on the moon, where $\mathrm{g}=5.471\ \mathrm{ft} / \mathrm{s}^2$?

Steam with a quality of 0.7, pressure of 1.5 bar, and flow rate of 10 kg/s enters a steam separator operating at steady state. Saturated vapor at 1.5 bar exits the separator at state 2 at a rate of 6.9 kg/s while saturated liquid at 1.5 bar exits the separator at state 3. Neglecting kinetic and potential energy effects, determine the rate of heat transfer, in kW, and its associated direction.

Find the motion of the mass-spring system modeled by the ODE and initial conditions. Sketch or graph the solution curve. In addition, sketch or graph the curve of $y-y_p$ to see when the system practically reaches the steady state.

$\left(D^2+2 D+I\right) y=75\left(\sin t-\frac{1}{2} \sin 2 t+\frac{1}{3} \sin 3 t\right)$, $y(0)=0 . \quad y^{\prime}(0)=1$

Air enters an insulated nozzle operating at steady state at $80\ \mathrm{lbf} / \mathrm{in}^2, 120^{\circ} \mathrm{F}, 10\ \mathrm{ft} / \mathrm{s}$ with a mass flow rate of $0.4 \mathrm{lb} / \mathrm{s}$. At the exit, the velocity is $914\ \mathrm{ft} / \mathrm{s}$ and the pressure is $50\ \mathrm{lbf} / \mathrm{in}^2$ Find

(a) the isentropic nozzle efficiency.

(b) the exit area, in $\mathrm{ft}^2$.

Steam expands isentropically through a converging nozzle operating at steady state from a large tank at $1.83\ \text{bar}$, $280^{\circ} \mathrm{C}$. The mass flow rate is $2 \mathrm{~kg} / \mathrm{s}$, the flow is choked, and the exit plane pressure is $1\ \text{bar}$. Determine the diameter of the nozzle, in $\mathrm{cm}$, at locations where the pressure is $1.5\ \text{bar}$, and $1\ \text{bar}$, respectively.

Choose the term(s) that best complete each sentence. Write the term(s) in the space(s) provided. The _____ is equal to one half of the smallest unit that an instrument can measure.

Oxygen $\left(\mathrm{O}_{2}\right) \text { at } 25^{\circ} \mathrm{C},$ 100 kPa enters a compressor operating at steady state and exits at $260^\circ C,$ 650 kPa. Stray heat transfer and kinetic and potential energy effects are negligible. Modeling the oxygen as an ideal gas with k = 1.379, determine the isentropic compressor efficiency and the work in kJ per kg of oxygen flowing.

A simple instrument for measuring the acceleration of gravity employs a linear spring from which a mass is suspended. At a location on Earth where the acceleration of gravity is $32.174\ \mathrm{ft} / \mathrm{s}^2$, the spring extends $0.291\ \text{in.}$ If the spring extends $0.116\ \text{in.}$ when the instrument is on Mars. what is the Martian acceleration of gravity? How much would the spring extend on the moon, where $\mathrm{g}=5.471\ \mathrm{ft} / \mathrm{s}^2$ ?

An object is 12.0 mm from the objective of a certain compound microscope. The lenses are 300 mm apart, and the intermediate image is 50.0 mm from the eyepiece. What overall magnification is produced by the instrument?

A buoy is to support a cone-shaped instrument package, as shown in the figure. The buoy is made from a uniform material having a specific weight of $8.00\ \mathrm{lb} / \mathrm{ft}^3$. At least $1.50\ \mathrm{ft}$ of the buoy must be above the surface of the seawater for safety and visibility. Determine the maximum allowable weight of the instrument package.

The Mars probe Pathfinder is designed to drop the vehicle's instrument package from a height of 20 meters above the Martian surface, after the speed of the probe has been brought to zero by a combination parachute-rocket system at that height. To cushion the landing, giant air bags surround the package. The mass of Mars is $0.1074$ times that of Earth, and the radius of Mars is $0.5282$ that of Earth. Find (b) how long it takes for the instrument package to fall the last 20 meters.

In listening to a concert, you attend to the solo instrument and perceive the orchestra as accompaniment. This illustrates the organizing principle of a. figure-ground. b. shape constancy. c. grouping. d. depth perception.