PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The rocket is travelling in a free-flight elliptical orbit about the earth such that eccentiricty is e and it's perigee is a distance d as shown. Determine it's speed when it is at point B. Also determine the sudden decrease in speed the rocket must experience at A in order to travel in a circular orbit.
The 245-kg glider Bis being towed by airplane A, which is flying horizontally with a constant speed of v = 183 km/h. The tow cable has
a length r = 59 m and may be assumed to form a straight line. The glider is gaining altitude and when e reaches 14°, the angle is
increasing at the constant rate 0 = 8 deg/s. At the same time the tension in the tow cable is 2370 N for this position. Calculate the
aerodynamic lift L and drag D acting on the glider.
Assume o = 10°.
D
B
A
1. The satellite is moving in an elliptical orbit with
an eccentricity e = 0.25. Determine its speed when it is at
its maximum distance A and minimum distance B from
the earth.
2 Mm
B
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- A spacecraft traveling along a parabolic path toward the planet Jupiter is expected to reach point vA of magnitude 26.9 km/s. Its engines will then be fired to slow it down, placing it into an elliptic orbit which will bring it to within 100 × 103 km of Jupiter. Determine the decrease in speed ? v at point A which will place the spacecraft into the required orbit. The mass of Jupiter is 319 times the mass of the earth.arrow_forwardThe rocket is in a free-flight elliptical orbit about the earth such that e = 0.76 as shown. Determine its speed when it is at point A. Also determine the sudden change in speed the rocket must experience at B in order to travel in free flight along the orbit indicated by the dashed path. B 9 Mm -8 Mm 5 Mmarrow_forwardWith a mass of 2.0 kg, the ball B (vB1) = 2.4m/s and rotates in an orbit with a radius of r1 = 0.8 m. From this moment on, the rope attached to it is 1.2m / s. Find the velocity of ball B at the moment r2 D 0.5 m since it is pulled with its velocity Vr = as shown in the figure. Also calculate the work required to pull the rope. %3Darrow_forward
- A satellite describes an elliptic orbit about a planet of mass M . The minimum and maximum values of the distance r from the satellite to the center of the planet are, respectively, r0 and r1. Use the principles of conservation of energy and conservation of angular momentum to derive the relationwhere h is the angular momentum per unit mass of the satellite and G is the constant of gravitation.arrow_forwardItems in parentheses are the solarrow_forwardA satellite is in a circular earth orbit of radius I'min = 1.67R, where R is the radius of the earth. What is the minimum velocity boost Av necessary to reach point B, which is a distance max = 2.68R from the center of the earth? At what point in the original circular orbit should the velocity increment be added? Answer: Av= i min max B m/sarrow_forward
- 2. If the rocket is to land on the surface of the planet, determine the required free-flight speed it must have at A' so that the landing occurs at B. How long does it take for the rocket to land, in going from A' to B? The planet has no atmosphere, and its mass is 0.6 times that of the earth. Take G = 34.4(10 ")(lb • ft² )/slug², Mẹ = 409(10²') slug, 1 mi = 5280 ft. A+ B' Y A' = 2000 mi 4000 mi -10 000 miarrow_forwardThe 64.4-lb slider moves in the vertical plane on a smooth rail. The spring with k = 800 lb/ft is unstretched with the slider at point B. If the slider is released from rest at point A, what is the speed at point C? The slider can be approximated as a particle. 인 it woll 3 ft C abert --www- A B 3 ftarrow_forwardAnswer: hmax=899 miarrow_forward
- The 12-Mg truck drives onto the 396-Mg barge from the dock at 17 km/h and brakes to stop on the deck. The barge is free to move in the water, which offers negligible resistance to motion at low speeds. Calculate the speed of the barge after the truck has come to rest on it. 17 km/h 396 Mg 12 Mg Answer: v = km/harrow_forwardA 9.6-Mg truck is resting on the deck of a barge which displaces 206 Mg and is at rest in still water. If the truck starts and drives toward the bow at a speed relative to the barge vrel = 9.7 km/h, calculate the speed v of the barge. The resistance to the motion of the barge through the water is negligible at low speeds. l'rel = 9.7 km/h 9.6 Mg 206 Mg- Answer: v = i km/harrow_forwardNonearrow_forward
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