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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 5, Problem 5.7P
To determine
The gravitational potential due to a thin rod at a point along perpendicular direction.
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A thin spherical shell has radius rA = 4.00 m and mass mA = 20.0 kg. It is concentric with a second thin spherical shell that has radius rB = 6.00 m and mass mB = 40.0 kg. What is the net gravitational force that the two shells exert on a point mass of 0.0200 kg that is a distance r from the common center of the two shells, for (a) r = 2.00 m (inside both shells), (b) r = 5.00 m (in the space between the two shells), and (c) r = 8.00 m (outside both shells)?
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Chapter 5 Solutions
Classical Dynamics of Particles and Systems
Ch. 5 - Prob. 5.3PCh. 5 - Compute directly the gravitational force on a unit...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - A planet of density 1 (spherical core, radius R1)...Ch. 5 - Prob. 5.16PCh. 5 - A thin disk of mass M and radius R lies in the (x,...Ch. 5 - A point mass m is located a distance D from the...
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- Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.arrow_forwardWhat is (a) the angular speed and (b) the linear speed of a point on Earth’s surface at latitude 30N . Take the radius of the Earth to be 6309 km. (c) At what latitude would your linear speed be 10 m/s?arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
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