Applied Physics (11th Edition)
11th Edition
ISBN: 9780134159386
Author: Dale Ewen, Neill Schurter, Erik Gundersen
Publisher: PEARSON
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Textbook Question
Chapter 21.5, Problem 9P
If an object is 2.50 m tall and 8.60 m from a large mirror with an image formed 3.75 m from the mirror, find the height of the image.
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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?
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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 21 Solutions
Applied Physics (11th Edition)
Ch. 21.5 - Given so = 1.65 cm and st = 6.00 cm, find f.Ch. 21.5 - Given f = 15.0 cm and st = 3.00 cm, find so.Ch. 21.5 - Given st = 14.5 cm and f = 10.0 cm, find so.Ch. 21.5 - Given st = - 10.0 cm and f = - 5.00 cm, find so.Ch. 21.5 - Given so = 7.35 cm and st = 17.0 cm, find f.Ch. 21.5 - Given ht = 2.75 cm, ho = 4.50 cm, and st = 6.00...Ch. 21.5 - Given ho = 12.0 cm, st = 13.0 cm, and so = 25.0...Ch. 21.5 - Given ht = 3.50 cm. hs = 2.50 cm, and st = 15.5...Ch. 21.5 - If an object is 2.50 m tall and 8.60 m from a...Ch. 21.5 - An object 30.0 cm tall is located 10.5 cm from a...
Ch. 21.5 - Prob. 11PCh. 21.5 - An object 12 6 cm in front of a convex mirror...Ch. 21.5 - What is the height of an image in a truck mirror...Ch. 21.5 - A lift truck has a rear view mirror that is 0.76 m...Ch. 21.5 - Find the focal length of a convex mirror that...Ch. 21.5 - Find the focal length of a mirror that forms an...Ch. 21.5 - Find the focal length of a mirror that forms an...Ch. 21.5 - An image of a statue appears to be 11.5 cm behind...Ch. 21.5 - (a) What is the height of a figurine 7.33 cm in...Ch. 21.10 - Find the index of refraction of a medium for which...Ch. 21.10 - Prob. 2PCh. 21.10 - If the index of refraction of a liquid is 1.50,...Ch. 21.10 - The angle of incidence of light passing from air...Ch. 21.10 - If the critical angle of a liquid is 42.4, find...Ch. 21.10 - If the index of refraction of a substance is 2.45,...Ch. 21.10 - A converging lens has a focal length of 15.0 cm....Ch. 21.10 - An object 2.50 cm tall is placed 20.0 cm from a...Ch. 21.10 - The focal length of a lens is 5.00 cm. How far...Ch. 21.10 - If the distance from the lens in your eye to the...Ch. 21.10 - An object 5.00 cm tall is placed 15.0 cm from a...Ch. 21.10 - An object 4.50 cm tall is placed 18.0 cm from a...Ch. 21.10 - What are the size and location of an image...Ch. 21.10 - What are the size and location of an image...Ch. 21.10 - What is the focal length of a convex lens that...Ch. 21 - Stained glass is an example of a. a transparent...Ch. 21 - A virtual image may be a. larger than the object....Ch. 21 - A real image may be a. erect. b. shown on a...Ch. 21 - Explain the difference between diffusion and...Ch. 21 - Prob. 5RQCh. 21 - Prob. 6RQCh. 21 - Describe the type of images formed by plane...Ch. 21 - Explain the difference between real and virtual...Ch. 21 - Explain the difference between a concave and a...Ch. 21 - Explain the effect of spherical aberration.Ch. 21 - For a mirror of given focal length, how does the...Ch. 21 - For a given object distance from a mirror, how...Ch. 21 - The index of refraction depends on a. the focal...Ch. 21 - Snell's law involves a. the lens equation. b. the...Ch. 21 - Prob. 15RQCh. 21 - Give several examples of total internal...Ch. 21 - Prob. 17RQCh. 21 - Prob. 18RQCh. 21 - Prob. 19RQCh. 21 - What types of images are formed by diverging...Ch. 21 - What types of images are formed by converging...Ch. 21 - How do water waves affect the escape of light from...Ch. 21 - Explain why a fish under water appears to be at a...Ch. 21 - Does light always travel in a straight line?...Ch. 21 - Explain how total internal reflection allows light...Ch. 21 - Under what conditions will a converging lens form...Ch. 21 - Under what conditions will a converging lens form...Ch. 21 - Under what conditions will a diverging lens form a...Ch. 21 - Using 1f=1s0+1si, s0 = 3.50 cm, and si = 7.25 cm,...Ch. 21 - Using 1f=1s0+1si, s0 = 8.50 cm, and f = 25.0 cm,...Ch. 21 - Using M=hih0=sis0, h0 = 6.50 cm, si = 7.50 cm, and...Ch. 21 - If an object is 3.75 m tall and 7.35 m from a...Ch. 21 - An object 43.0 cm tall is located 23.4 cm from a...Ch. 21 - Prob. 6RPCh. 21 - The angle of incidence of light passing from air...Ch. 21 - If the index of refraction of a liquid is 1.44,...Ch. 21 - If the critical angle of a liquid is 45.6, find...Ch. 21 - If the index of refraction of a substance is 1.50,...Ch. 21 - A converging lens has a focal length of 12.0 cm....Ch. 21 - An object 4.50 cm tall is placed 20.0 cm from a...Ch. 21 - The focal length of a lens is 4.00 cm. How far...Ch. 21 - What is the focal length of a convex lens that...Ch. 21 - What is the focal length of a mirror that forms an...Ch. 21 - What are the size and location of an image...Ch. 21 - What is the speed of light passing through a...Ch. 21 - Prob. 18RPCh. 21 - Find the focal length of a concave mirror with an...Ch. 21 - Prob. 20RPCh. 21 - Tamera uses a concave mirror when applying makeup....Ch. 21 - A convex security mirror has a radius of curvature...Ch. 21 - Prob. 3ACCh. 21 - Diamonds are cut to take advantage of internal...Ch. 21 - A photographer uses a 60.0-mm lens. (a) How far...
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