Landing on an Aircraft Carrier The Fresnel Lens Optical Landing System (FLOLS) used to ensure safe landings on aircraft carriers consists of a series of Fresnel lenses of different colors. Each lens focuses light in a different, specific direction, and hence which light a pilot sees on approach determines whether the plane is above, below, or on the proper landing path. The basic idea behind a Fresnel lens, which has the same optical properties as an ordinary lens is shown in Figure 27-30 . Suppose an object is 17.1 cm behind a Fresnel lens, and that the corresponding image is a distance d 1 = d in front of the lens. If the object is moved to a distance of 12.0 cm behind the lens, the image distance doubles to d = 2 d . In the FLOLS, it is desired to have the image of the lightbulb at infinity. What object distance will give this result for this particular lens? A lens causes light to refract at its surface; therefore, the interior glass can be removed without changing its optical properties. This produces a Fresnel lens, which is much lighter than the original lens. (Problem 93)
Landing on an Aircraft Carrier The Fresnel Lens Optical Landing System (FLOLS) used to ensure safe landings on aircraft carriers consists of a series of Fresnel lenses of different colors. Each lens focuses light in a different, specific direction, and hence which light a pilot sees on approach determines whether the plane is above, below, or on the proper landing path. The basic idea behind a Fresnel lens, which has the same optical properties as an ordinary lens is shown in Figure 27-30 . Suppose an object is 17.1 cm behind a Fresnel lens, and that the corresponding image is a distance d 1 = d in front of the lens. If the object is moved to a distance of 12.0 cm behind the lens, the image distance doubles to d = 2 d . In the FLOLS, it is desired to have the image of the lightbulb at infinity. What object distance will give this result for this particular lens? A lens causes light to refract at its surface; therefore, the interior glass can be removed without changing its optical properties. This produces a Fresnel lens, which is much lighter than the original lens. (Problem 93)
Landing on an Aircraft Carrier The Fresnel Lens Optical Landing System (FLOLS) used to ensure safe landings on aircraft carriers consists of a series of Fresnel lenses of different colors. Each lens focuses light in a different, specific direction, and hence which light a pilot sees on approach determines whether the plane is above, below, or on the proper landing path. The basic idea behind a Fresnel lens, which has the same optical properties as an ordinary lens is shown in Figure 27-30. Suppose an object is 17.1 cm behind a Fresnel lens, and that the corresponding image is a distance d1 = d in front of the lens. If the object is moved to a distance of 12.0 cm behind the lens, the image distance doubles to d = 2d. In the FLOLS, it is desired to have the image of the lightbulb at infinity. What object distance will give this result for this particular lens?
A lens causes light to refract at its surface; therefore, the interior glass can be removed without changing its optical properties. This produces a Fresnel lens, which is much lighter than the original lens. (Problem 93)
You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?
For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
Chapter 27 Solutions
Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)
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