(b) An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in Figure 2. When the flight path of the aircraft is at an angle of 30° from the horizontal, the aircraft's velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres, and the net thrust (engine thrust minus drag) is T = 30 kN and acts along the flight path. Assume that the lift force L is perpendicular to the flight path. Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultant acceleration and its angle from the flight path. Also calculate the lift force L. r= 1000 metres 30 Figure 2

(b) An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in Figure 2. When the flight path of the aircraft is at an angle of 30° from the horizontal, the aircraft's velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres, and the net thrust (engine thrust minus drag) is T = 30 kN and acts along the flight path. Assume that the lift force L is perpendicular to the flight path. Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultant acceleration and its angle from the flight path. Also calculate the lift force L. r= 1000 metres 30 Figure 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in Figure 2. When the flight path of the aircraft is at an angle of 30° from the horizontal, the aircraft's velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres, and the net thrust (engine thrust minus drag) is T = 30 kN and acts along the flight path. Assume that the lift force L is perpendicular to the flight path. Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultant acceleration and its angle from the flight path. Also calculate the lift force L. r= 1000 metres 307 Figure 2
6. The figure bellow shows two balls of equal mass moving in vertical circles. Is the tension in string A greater than, less than, or equal to the tension in string B if the balls travel over the top of the circle (a) with equal speed and (b) with equal angular velocity? m m 2r A В
Consider a ball rolling around in a circular path on the inner surface of a cone. The weight of the ball is shown by the vector W. Without friction, only one other force acts on the ball—a normal force, (a) Draw in the vector for the normal force. (The length of the vector depends on the next step, b.) (b) Using the parallelogram rule, show that the resultant of the two vectors is along the radial direction of the ball’s circular path. (Yes, the normal is appreciably larger than the weight!)
4. An airplane weighing 5500 kg is in a steady level flight with a speed of 225 m/s. The pilot initiates a steady pull-up maneuver with a radius of curvature of 775 m. The location of center of gravity (CG), center of pressure on wing (CP) and point of action (T) of tail force are marked in the figure. Use g = 9.81 m/s³. Neglect drag on the tail and assume that tail force is vertical. Assuming the engine thrust and drag to be equal, opposite and collinear, the tail force kN (round off to one decimal place). 20 cm CG
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A vertical cable supports two vehicles, a 1,207 kg sedan and a 1,461 kg truck, with the sedan directly above the truck. The cable is attached to a crane, which lifts the vehicles with an acceleration 1.11 m/s?. At one moment the sedan is moving at a speed of 3.80 m/s. Assume the cable does not stretch. (a) How do the velocity and acceleration of the two vehicles compare? O At any instant the truck has a higher velocity compared to that of the sedan and at all instants they have the same acceleration. O At any instant they have the same velocity and at all instants they have the same acceleration. O At any instant the truck has a lower velocity compared to that of the sedan and at all instants they have the same acceleration. (b) What is the tension, Tower, (in N) in the cable between the sedan and the truck? N (c) What is the tension, Tunner (in N) in the cable above the sedan? N
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The two ramps pictured here each have a region of length L with kinetic friction coefficient uk and are otherwise frictionless. Identical masses m start at identical heights up the ramps, with the same initial velocity down the ramp. How do their final speeds compare when they reach the far right-hand side? (The answer requested here is qualitative and does not require detailed calculation). L m m Vi #0 Vi O Mass is moving faster in #1 The masses are moving at the same speed. Mass is moving faster in #2 O There is not enough information to decide. L Mk#0 1 2 m m Vf,1 V₁,2