Concept explainers
You are working in your dream job: an assistant for the special effects department of a movie studio. You have just been given this assignment: the star of a horror movie is walking down a spooky hallway when suddenly, due to some unknown and strange supernatural forces, all the pictures hanging on the wall start rotating about their upper edges until they are sticking straight out from the wall! To set up this effect, you attach the pictures to the wall with hinges along their upper end and wrap 20 turns of wire around the outside frame of the picture, as shown in Figure P28.32a. You set up a uniform magnetic field in the hallway that is directed upward and oriented at an angle of γ = 5.00° to the vertical, with its horizontal component directed perpendicularly into the wall. When you send a current of I = 10.0 A through the wire around each picture, the frame swings up perpendicular to the wall as shown in Figure P28.32b. Consider a particular picture of width ω = 40.6 cm, height h = 50.8 cm, and mass m = 0.750 kg. (a) Your supervisor asks you to determine the magnetic field magnitude that is necessary for this picture to rotate so that its face is parallel to the floor and perpendicular to the wall, as in Figure P28.32b. (b) She also asks about any dangers associated with this magnetic field.
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Chapter 28 Solutions
Physics for Scientists and Engineers
- An early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel, as in the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. One such slotted wheel has a radius of 2.9 cm and 120 slots at its edge. Measurements taken when the mirror is L = 670 m from the wheel indicate a speed of light of 3.0 x 105 km/s. (a) What is the (constant) angular speed of the wheel? (b) What is the linear speed of point on the edge of the wheel? Light beam Light Mirror Source perpendicular to light beam Rotating słotted wheel (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Workarrow_forwardQuestion 1a. A soccer goal, found is a city park, is made up of tubing that supports an odd-shaped hanging net behind the goal, but has a rectangular opening infront. The height of the opening is 2.5m and the width is 3.2m. If a uniform E-field, with a magnitude of 0.1N/C, passes through the goal from the front to the back, entering at 90 degrees to the plane of the goal opening, what is the flux through the net? Also, find the flux through the net if the E-fieldenters the goal at 60 degrees angle to the plane of the front goal. In both cases, assume that there no charge found inside the goal itself. CR (10)b. Show that the D field due to a point charge has a divergence of zero E(5)c.Find the charge in the volume defined 1 ≤ r ≤ 2m in spherical coordinates, if P=(c/m)arrow_forwardGiven the following equations of motion, and matrix P, 6.0000 0.0000 90.0000 -44.0000 |{x(t)}+ {x(t)}= 0, 0.6256 0.7802 [P]= 0.7802 -0.6256 0.0000 4.0000 -44.0000 44.0000 Determine the modal matrix [S]. 0.8580 0.6256 [S]= -0.5137 0.7802 0.7802 -0.6325 [S]= -0.6256 0.7746 0.2554 0.3185 [S]= 0.3901 -0.3128 0.8580 -0.6325 [S)= -0.5137 0.7746 Nonearrow_forward
- Mr Hussar, a 76 year old patient, walks into the physician's office for his regular checkup. Mr. Hussar seems to be limping slightly as he approaches the desk to sign in for his appointment. Mrs. Jacobs, the receptionist, inquires how he is doing, to which he replies, "Fine." Mrs. Jacobs always looks forward to seeing Mr. Hussar because he is usually so cheerful and talkative, but she is disappointed when he just takes a chair in the waiting room to wait fo the doctor. She notes that Mr. Hussar is not as neatly dressed as usual nor as well groomed. What value will being able to "note variances fromt he normal" provide? What knowledge is needed to be able to determine a variance from the normal?arrow_forward1. A student runs to school, covering a distance of 0.50 km in a direction of [N20^0 E] as measured from the starting point. She then trudges over to a friend's house 0.30 km away [W] from the school. The two friends then go off to the mall that is 0.8 km [W50^0S] from the friend's house. *You will need to draw the x and y components of the vectors a. What is the total displacement of the student? b. If the total time taken by the student to run to school then trudge over to the friend's house was 25 minutes, what was her average velocity? *There are many steps to this answer, ensure that you have included ALL steps.arrow_forwardLw21a.pdf bad p111w21a.pdf (113 KB) 7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 I + (6 - 7 t) j +(1 – 3 t + 2t²) k where distance components are in meters and time t is in seconds. 7a) What are all 3 components of the velocity vector at t = +5 seconds? 7b) What are all 3 components of the acceleration vector at t = +5 seconds?arrow_forward
- Consider a mirror lying along the x-axis in R2. A laser starts at the point (−2, 6) and is fired in the direction of ⟨4, −3⟩. The beam travels until it hits the mirror, where it reflects off the mirror and then travels until it hits a wall on the line x = 20. (a) Give a parametrization for the initial path of the laser. (b) At what point does this beam hit the mirror? (c) Give a parametrization for the path of the reflected beam. (d) At what point does this beam hit the wall?arrow_forward4. Given: Three forces act on particle P. Force A has a magnitude of 15 N and acts 60° CCW from the positive x-axis. Force B has a magnitude of 60 N and acts along a ray from point P with a slope of -4/3. Force C has a magnitude of 10 N and acts straight left (180° CCW from positive x- axis). Find the Rectangular Components: a. Draw a neat, scaled, labeled diagram representing particle P and the three forces acting on it. b. Find the scalar components of A, B, and C. Remember, scalar components use a sign to indicate direction along their line of action.arrow_forwardDisplacement d1 is in the yz plane 59.9° from the positive direction of the y axis, has a positive z component, and has a magnitude of 3.39 m. Displacement d2 is in the xz plane 20.8° from the positive direction of the x axis, has a positive z component, and has magnitude 1.02 m. What is the angle between d1 and d2?arrow_forward
- You are a technician at an MRI center. One day some medical students enter your lab for a training session. One of them asks about metal in the MRI room, and you clearly state that that is a dangerous situation. The questioner does not look convinced, so you provide the following example. Suppose a woman enters the MRI machine and has forgotten to remove a silver choker necklace. The necklace can be modeled as a ring of radius 7.50 cm. The cross section of the necklace is a rectangle of width 1.25 cm and thickness 0.300 cm. As the woman lies in the machine, the plane of the necklace is perpendicular to the magnetic field lines in the machine. Suddenly, there is a power failure, and the magnetic field in the MRI machine drops from 3.00 T to zero in 15.0 ms. To make the point to the students, determine the temperature change (in K) by which the necklace around the woman's neck rises. (Use any values in this table, this table, or this table). Write an equation involving the specific heat…arrow_forwardA rod moving with a speed v along the horizontal direction is observed to have length and to make an angle with respect to the horizontal as shown in Figure P38.17. (a) Show that the length of the rod as measured by an observer at rest with respect to the rod is p = [1( v2/c2) cos2 ]1/2. (b) Show that the angle p that the rod makes with the x axis according to an observer at rest with respect to the rod can be found from tan p = tan . These results show that the rod is observed to be both contracted and rotated. (Take the lower end of the rod to be at the origin of the coordinate system in which the rod is at rest.)arrow_forwardTwo toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves. a. Car A is constantly 6 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second, i. Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet. 6sin(2.5) ii. How long does it take Car A to complete one full lap? seconds Preview b. Car B is constantly 6.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car B sweeps out radians per second. W Preview 1. Write an expression (in terms of t) that represents Car B's vertical distance above the center of the race track in feet. Preview ii. How long does it…arrow_forward
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