Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Chapter 1, Problem 1.14P
(a)
To determine
The value of
(b)
To determine
The
(c)
To determine
The
(d)
To determine
The matrix
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Use the following information to answer the next question.
Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of
42°. The ray of light reflects off mirror B and then enters water, as shown below:
Incident
ray at A
Note: This diagram is not to
scale.
a
Air (n = 1.00)
Water (n = 1.34)
1) Determine the angle of refraction of the ray of light in the water.
B
Hi can u please solve
6. Bending a lens in OpticStudio or OSLO. In either package, create a BK7 singlet lens of 10 mm semi-diameter
and with 10 mm thickness. Set the wavelength to the (default) 0.55 microns and a single on-axis field point at
infinite object distance. Set the image distance to 200 mm. Make the first surface the stop insure that the lens
is fully filled (that is, that the entrance beam has a radius of 10 mm). Use the lens-maker's equation to
calculate initial glass curvatures assuming you want a symmetric, bi-convex lens with an effective focal length
of 200 mm. Get this working and examine the RMS spot size using the "Text" tab of the Spot Diagram analysis
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diffraction limited, with a spot size of more than 100 microns.
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Chapter 1 Solutions
Classical Dynamics of Particles and Systems
Ch. 1 - Prob. 1.1PCh. 1 - 1.2. Prove Equations 1.10 and 1.11 from...Ch. 1 - Prob. 1.3PCh. 1 - Show
(a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1
Ch. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Consider a unit cube with one corner at the origin...Ch. 1 - Prob. 1.8PCh. 1 - For the two vectors
find
A − B and |A –...Ch. 1 - A particle moves in a plane elliptical orbit...
Ch. 1 - Prob. 1.11PCh. 1 - Let a, b, c be three constant vectors drawn from...Ch. 1 - X is an unknown vector satisfying the following...Ch. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - What surface is represented by r a = const, that...Ch. 1 - Obtain the cosine law of plane trigonometry by...Ch. 1 - Obtain the sine law of plane trigonometry by...Ch. 1 - Prob. 1.19PCh. 1 - 1-20. Show that
Ch. 1 - Show (see also Problem 1–11) that
Ch. 1 - Prob. 1.22PCh. 1 - Use the εijk notation and derive the identity
(A ×...Ch. 1 - Prob. 1.24PCh. 1 - Find the components of the acceleration vector a...Ch. 1 - Prob. 1.26PCh. 1 - If r and are both explicit functions of time,...Ch. 1 - Show that
Ch. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Show that
(a)
(b)
(c)
Ch. 1 - Show that (2arr+2brr)dt=ar2+br2+const. where r is...Ch. 1 - Show that (rrrrr2)dt=rr+C where C is a constant...Ch. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - A plane passes through the three points (x, y, z)...Ch. 1 - For what values of a are the vectors A = 2ai − 2j...
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- No chatgpt pls will upvote Already got wrong chatgpt answer .arrow_forwardUse the following information to answer the next question. Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of 42°. The ray of light reflects off mirror B and then enters water, as shown below: A Incident ray at A Note: This diagram is not to scale. Air (n = 1.00) Water (n = 1.34) Barrow_forwardUse the following information to answer the next question. Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of 42°. The ray of light reflects off mirror B and then enters water, as shown below: A Incident ray at A Note: This diagram is not to scale. Air (n = 1.00) Water (n = 1.34) Barrow_forward
- Good explanation it sure experts solve it.arrow_forwardNo chatgpt pls will upvote Asaparrow_forwardA satellite has a mass of 100kg and is located at 2.00 x 10^6 m above the surface of the earth. a) What is the potential energy associated with the satellite at this loction? b) What is the magnitude of the gravitational force on the satellite?arrow_forward
- No chatgpt pls will upvotearrow_forwardCorrect answer No chatgpt pls will upvotearrow_forwardStatistical thermodynamics. The number of imaginary replicas of a system of N particlesa) cannot be greater than Avogadro's numberb) must always be greater than Avogadro's number.c) has no relation to Avogadro's number.arrow_forward
- Lab-Based Section Use the following information to answer the lab based scenario. A student performed an experiment in an attempt to determine the index of refraction of glass. The student used a laser and a protractor to measure a variety of angles of incidence and refraction through a semi-circular glass prism. The design of the experiment and the student's results are shown below. Angle of Incidence (°) Angle of Refraction (º) 20 11 30 19 40 26 50 31 60 36 70 38 2a) By hand (i.e., without using computer software), create a linear graph on graph paper using the student's data. Note: You will have to manipulate the data in order to achieve a linear function. 2b) Graphically determine the index of refraction of the semi-circular glass prism, rounding your answer to the nearest hundredth.arrow_forwardUse the following information to answer the next two questions. A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in the diagram. 3a) Determine the critical angle of zircon. 35.0° 70° 55 55° 3b) Determine the angle of refraction when the laser beam leaves the prism.arrow_forwardUse the following information to answer the next two questions. A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in the diagram. 3a) Determine the critical angle of zircon. 35.0° 70° 55 55° 3b) Determine the angle of refraction when the laser beam leaves the prism.arrow_forward
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