Problem 3: A cube-shaped spacecraft is in a circular Earth orbit. Let N (n,) be inertialand the spacecraft is denoted S (ŝ₁). The spacecraft is described such that¯½º = J ŝ₁ŝ₁ + J ŝ₂§₂ + J §¸Ŝ3Location of the spacecraft in the orbit is determined by the orbit-fixed unit vectors ê, thatare oriented by the angle (Qt), where is a constant angular rate.52€33>2t55ΛИзAt the instant when Qt = 90°, the spacecraft S is oriented relative to the orbit such that8₁ = 0°Space-three 1-2-3 angles 0₂ = 60°andES = $₂ rad/s0₁ = 135°(a) At this instant, determine the direction cosine matrix that describes the orientation ofthe spacecraft with respect to the inertial frame N.

Step 1: The problem provides us with the Space-three 1-2-3 angles, which are the angles between the…

Answered: Problem 3: A cube-shaped spacecraft is…

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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L. y X VA A VB PLANE OF CONTACT BY UBC Engineering On an air hockey table, two pucks of identical mass collide in the middle of the rink. Puck A had an initial m velocity vA 1.9? and puck B had an initial velocity vB = 3.2j The plane of contact can be thought of as a line angled 0 = 34° above the x-axis. If the coefficient of 0.5 between the pucks, what are the velocities of the pucks after the impact? || m according to the x-y axis shown. restitution is e =
A shaft is rotating at a uniform speed with four masses m1, m2, m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made by these masses with respect to horizontal are 0°, 45°, 120° and 255° respectively. 1) Check the magnitude and position of balance mass if it radius of rotation is 200mm, and 2) Evaluate the effect of adding the balance mass to the system. solve it using garphical method
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Part A: What is the period of the spacecraft's orbit? T=___s Part B: Using conservation of angular momentum, find the ratio of the spacecraft's speed at perigee to its speed at apogee. (Vperigee)/(Vapogee)=___ Part C: Using conservation of energy, find the speed at perigee and the speed at apogee. Vperigee,Vapogee=___m/s Part D: It is necessary to have the spacecraft escape from the earth completely. If the spacecraft's rockets are fired at perigee, by how much would the speed have to be increased to achieve this? delta(perigee)=___m/s Part E: What if the rockets were fired at apogee? delta(apogee)=___m/s Part F: Which point in the orbit is more efficient to use and why?
The ace pilot, Wash, attempts to put the ship Serenity (50,000 kg) in orbit at an altitude of 400 km around a planet (called Haven), which is about the same size as the Earth (D = 12,800 km). He has slowed to an approach velocity of 2 km/s. (recall: G = 6.67 x10-11 N m2 kg-2) Unfortunately, on approach, Serenity’s engines fail and she begins to plummet towards the surface. If the ship accelerates at 1.8g, what is the mass of the planet? What would the acceleration of the ship be at 350 km? Is a constant acceleration safe to assume? Assume that the average acceleration over the 50 km, what is the velocity of Serenity at the height of 350-km? Upon entry, the ship hits the atmosphere at 350 km (with a density of 0.1 kg m-3). The ship slows to a terminal velocity of 1550 m/s. How big is the heat shield that slows the ship? How quickly does the ship slow (ignore gravity)?
1. Fig. 1 Shows an aerofoil cutting mechanism which has a laser cutting device located at point E - the path traced out by this point corresponds to the required aerofoil shape. The laser device can be considered as a point mass of 20kg at E. The other links can be assumed massless and you can ignore forces due to gravity in your analysis. The crank CD is driven at a constant angular velocity, wo, If = 10 rad/s show that in the position shown the x and y components of acceleration at point E are respectively: fex = 178.4 m/s² (to the right); fey = 30.6 m/s² (upwards): (a) (i) Hence, determine the force acting on link EBC at B due to link AB (FB) (ii) Show by means of clearance diagrams the direction of the forces at B and A (b) (c) (d) Determine the X and Y components of the force acting on link EBC at C due to the crank (Fcx, Fcy) Determine the torque, T, input or output due to the acceleration of the laser device at this instant. Determine the resultant force acting on the bearing at…
An exuberant 30 lb beagle awaiting dinner jumps to a height of 2.5 feet once every 4 seconds. The beagle continues this for 5 minutes. If the beagle is 20% efficient at converting kibble calories into motion, how many grams of kibble will it need to fuel this activity? Dry canine fare, for the most part, contains roughly 97 Calories for each 1 ounce. From the waste heat, how much (degC) will the beagle's temperature increase (all else equal and no heat loss to the surroundings)? Remember a food Calorie is actually a kcal.
Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael Swanbom
I Search 7:21 AM Fri Nov 22 WP Ho 23% View My Exam X | S Watch Venom × | b Login | bartlek X WP Question 3 of 3 - + education.wiley.com 0 10 ← Homework 5 - Fall 2024 Question 3 of 3 View Policies - /10 Current Attempt in Progress The two small spheres, each of mass m = 3.4 kg, are rigidly connected by a rod of negligible mass and are released from rest in the position shown and slide down the smooth circular guide in the vertical plane. The distance r = 0.56 m. Determine their common velocity v as they reach the horizontal dashed position. Also find the force R between sphere 1 and the supporting surface an instant before the sphere reaches the bottom position A. Answers: v= 49 m m/s R = i N eTextbook and Media Save for Later m Attempts: 0 of 1 used Submit Answer
The right answer should be F_lift= 105 kip and F_thrust= 415 kip. I tried many times with acceleration in horizontal but couldn’t get these correct numbers.
1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/sec

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