Two masses are connected to a string and hung on a pulley to make an atwood machine. The masses are different values such as M > m. The setup is shown. Assume the string is massless and the pulley is ideal. When the masses are gently released, there is a resulting acceleration. Which of the following equations will calculate the mass of m in the system if the big mass and acceleration are known? A) m = 2M(a/g). B) = m 2M(g/a). C) m = M(g- a/g+a). D) m = M(g+a/g -a).
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- = The figure shows a horizontal beam of mass M = 59.1 kg and length L = 6.4 m supported at its left end by a frictionless pin and at the other end by an ideal cable attached to wall h 4 m above the beam. A mass m = 22.1 kg is suspended from the beam a distance d = 2 m from the wall. Find the tension in the cable. T h d→ m M L = _ N Report your numerical answer below, assuming three significant figures. Remember to include a as necessary.In the context of of cubic interpolation as discussed in the lecture, in order to find the cubic interpolating line one must use parsimonious methods solve a linear system where the unknow variable is time. must solve a linear system in two equations a two varibles. select four rates. solve a cubic system. solve a cubic system of four equations in four variable where the unknown is time select two rates find the slope and the intercept of the interpolating line ☐ approximate the term structureConsider the following set of dependent and independent variables. Complete parts a through c below. y 10 11 15 15 21 24 27 32 X1 2 6 6 8 6 11 17 21 X2 17 9 13 10 3 8 6 4 a. Using technology, construct a regression model using both independent variables. = + + (Round to four decimal places as needed.)
- Solve for the magnitude and direction of the magnetic force. I'll upvote if complete and typewritten. Do not answer if you already answered this, i'll downvote. Thank youConsider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)3. Fizen Lures Inc. manufactured fishing lures. Their most popular lure is a Bass plug which uses a hook purchased from another manufacturer and polystyrene for the body of the lure itself. The company uses highly automated injection molding machines to manufacture lures. Because of this direct labor cost are at a minimum because one machine operator can operate three injection molding machines at same time. The company has developed the following standard costs include scrap to manufacture each lure: Material standards: Hook: 1.1 Hooks per lure at $.10 per hook. Polystyrene plastic: 3.5 ounces per lure at $.25 per Labor standards: ounce. Direct labor: .005 hours to produce one lure at $23.50/hr. including all employer payroll taxes and benefits. During month of April the company manufactured 120,000 Bass lures and incurred the following costs: Material costs: Purchased 30,000 pounds (480,000 ounces) of polystyrene for a total cost of $144,000 dollars. Used 418,000 ounces of…
- The figure below shows two unknown devices, each of which separates (disperses) white light into its spectrum. The positions of the two wavelengths are shown on each screen. Two optical devices that can produce cases A and B (respectively) are Case A ? Case B ? 2.700 nm 2400 nm 2400 nm 2.700 nm OA. a concave mirror and a convex lens B. a ray box and a prism C. a transmission grating and a prism OD. a transmission grating and a ray box5. Consider a coaxial cable which is an (infinitely) long wire of radius a, with given current flowing uniformly up it (so J(t) = I(t)/лa² goes uniformly through the wire). At the outside edge (r=a), there is an infinitesimally thin insulator, and just outside that, an infinitesimally thin sheath that returns all the current, basically a surface current going down the opposite direction carrying a total -I(t) back down. Figure out the B field everywhere in space (direction and magnitude) in terms of givens, and then find the self-inductance per length of this cable. Assume I(t) changes slowly in time, so we can use our usual quasi-static ideas. There are several ways to proceed. You might start from =LI, but this turns out to be tricky here, since the current is not confined to a single path! It is best to think about the total magnetic energy, W, stored by the magnetic field, and use our usual relation between energy and current: WL I²/2.Consider the two air conditioning systems detailed below. Use AW analysis to determine the sensitivity of the economic decision to MARR values of 4%,6%, and 8%. Work this problem (a) by hand and (b) by spreadsheet.
- 1. Imagine a triple-slit "grating", where the distance to the screen is much larger than the distance between the slits. By using phasors, show that the intensity of the interference pattern is given by I = I(1 + 4 cos & + 4 cos² ø). (Hint: Recall the intensity of fringe pattern in Young's two-slit interference experiment.)A photon moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0310 nm. After the collision, the electron moves at an angle a below the +x- axis, while the photon moves at an angle = 81.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slow enough that the non-relativistic relationship between momentum and velocity can be used.) (a) What is the angle a (in degrees)? 47.21 X What is the shift in wavelength of the photon due to the scattering? How can you use momentum conservation in the horizontal and vertical directions to determine the angle? counterclockwise from the +x-axis (b) Determine the speed of the electron (h m/s). m/s1. Determine the NPV of the new computer system (use 3 decimal places for the PV factor)