Determine the distance between the two satellites
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Determine the distance between the two satellites
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- Two radio transmitters positioned 400 mi apart along the shore send simultaneous signals to a ship that is 200 mi offshore and sailing parallel to the shoreline. The signal from transmitter S reaches the ship 200 microseconds later than the signal from transmitter T. The signals travel at a speed of 186,000 miles per second, or 0.186 mile per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. (Hint: For any point on the hyperbola, the absolute value of the difference of its distances from the foci is 2a.) 200 mi Help me solve this C 400 mi Assume the origin is located at the midpoint of the foci. What is the equation of the hyperbola with foci S and I on which the ship is located? (Simplify your answer. Type your answer in standard form.) View an example Get more help. Ship Clear all Skill builder Check answer orre1. The desired orientation of the hand of a Cartesian -Euler robot is given below. Find the necessary Euler angles n. 0. P 0.579 -0.548 -0.604 5 a, P, P. п, о, 0.540 0.813 -0.220 7 RTH H. n. 0: 0.611 -0.199 0.766 3 11. The member OA of the industrial robot telescopes. At the instant represented, o(t) = 0.1 sin(2rnt), OA OA = 0.8, and DA = -44. The base of the robot is revolving with 0(t) = 0.1 cos(2rnt) where (0 - w). Caleulate the magnitudes of the velocity and acceleration of end effector P for n= 2 and t = 5s. (70) 0.9m, %3D 1.1 m 0.9 m 16 Figure 1: The industrial robot
- 1-prod-flet01-xythos.c... b My Questions Question (2) The link AB has an angular velocity of 3 rad/s. Determine the velocity of block C and the angular velocity of link BC at the instant 0 = 45° . 1.5 m В WAB = 3 rad/s 0.5 m 0 = 45° A BOP 921 心國山T@ DEC ノ四 tv W 2000 MacBook Pro 2.A part of a machine consists of two arms OA and AP so that the angle between OA and AP is always half of that between O.A and the --axis. The following demonstrates the movement of these two arms. a. At a = Q rad, location = C. Path of P x(a): Y(a) = PO → Hint: (x(a), (y(a)) = OP = OA+AP. Try to set up OA and AP using angles in standard position. Length = a Arm O.A is 3.7 cm long and arm AP is 5.4 cm long. Find the location of P (in cm) when a = 0 rad, rad, /2 rad and /3 rad. Round your answers to at least 2 decimal places and enter them as points (x, y). cm a/2 O A At a rad, location = At a = π/2 rad, location = At a = π/3 rad, location = b. Find the parametric equations (a) and y(a) (in cm) that give the path of P for all & € [0₂]. The parameter a should represent the angle given in the diagram. Check your answer with the results from part (a). Use exact values or round the values to at least 5 significant figures. a = 0.7 Drag the slider to move the points. Try to reload the page if…Linkage BC of the three-bar linkage is 10 cm in length. At the instant shown, it forms an angle of 45° with respect to Linkage AB. Where is the instantaneous center of Linkage BC located? В
- At the instant observed bellow, 0 =47°, ø =15°. A 3 ft WAB 2 ft В What must be the angular velocity of the link AB, wAB in rad.s1 if the linear velocity of C is 2 ft.s 1Requlred Informatlon NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A radar system is used to track a new experimental space launch vehicle. Early in the vehicle's flight trajectory, the azimuth angle B Is increasing with the constant rate dßidt= 20/s. The elevation angle y is increasing at the rate dyidt= 40/s, and this rate is increasing at 5/s2. Know that the distance between O and Pis 2 m and that at this instant ß = 0* and y = 30". B dp/dt Determine the velocity and acceleration of point P. The velocity of point Pis (- 0.697 1.21 OJ- 0.603 k) m/s. The acceleration of point P is (- 0.082 OI- +0.539 k) m/s2. 0.34sdasOne morning, Cfonnie walks from her house to go to a store that is 500 ft, S 40o W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she is. What is her friend’s location, (magnitude and direction) relative to her house? (Ans. 667.54 ft, 21.79o N of E)show complete solution and diagrams
- (a) A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153 clockwise from north, with elevation 2.20 km. (i) Write the position vector for the ship relative to the plane, letting i represent east, north, and k up-direction. (ii) How far apart are the plane and ship? (b) Define cross-product. Outline any two examples of the use of cross-product in our daily life?OLScClowHxaMVqbhPU. O 10 Relative to the origin, point P has position vector 3i + j- 4k and Q has position vector i -j+ 3k. What is QP? * 2i - 7k O - 21 - 2j + 7k 3i -j- 12k O 21 + 21 - 7k The vector projection of a vector 3i + 4k on y-axis is Zero Position ofa particle ina rectangular coom nate system is (3. 2.51 ThenQuestion 3: Kinematics The position vector of a particle is given as function of time as r = (3t³î - 4t²ĵ+ 5tk) m. If the particle started moving from rest at = (3î+ 4ĵ- 5k) m and that t is in second, determine the: (a) (b) (c) displacement vector and its magnitude after time t = 3 s vecocity vector and its magnitude after time t = 3 s acceleration vector and its magnitude after time t = 3 s Ret