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 12, Problem 12.6P
Two identical harmonic oscillators are placed such that the two masses slide against one another, as in Figure 12-A. The frictional force provides a coupling of the motions proportional to the instantaneous relative velocity. Discuss the coupled oscillations of the system.
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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
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- 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 tab (OpticStudio) or the Spd command of the text widnow (OSLO). You should find the lens is far from diffraction limited, with a spot size of more than 100 microns. Now let's optimize this lens. In OpticStudio, create a default merit function optimizing on spot size.Then insert one extra line at the top of the merit function. Assign the…arrow_forwardNo 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_forward
- 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: A Incident ray at A Note: This diagram is not to scale. Air (n = 1.00) Water (n = 1.34) Barrow_forwardGood explanation it sure experts solve it.arrow_forwardNo chatgpt pls will upvote Asaparrow_forward
- A 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_forwardNo chatgpt pls will upvotearrow_forwardCorrect answer No chatgpt pls will upvotearrow_forward
- Statistical 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_forwardLab-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_forward
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