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A flight simulator is used to train pilots on how to recognize spatial disorientation. It has four degrees of freedom and can rotate around a planetary axis, as well as in yaw, pitch, and roll The pilot is seated so that her head B is located at
Fig. P15.220 and P15.221
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Chapter 15 Solutions
Vector Mechanics For Engineers
- A cylinder rolls without slipping between two moving plates C and D. The radius of the cylinder is r=4.0m. The velocity of the plate C is VC=6.0 m/s to the right. The velocity of the plate D is VD=2.0 m/s to the left. Using the instantaneous center of zero velocity (IC) to determine (3) The magnitude of the angular velocity of the cylinder ω=____________rad/sarrow_forwardIn the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)arrow_forwardThe rotor of a gas turbine is turning at a speed of 5,600 rpm when the turbine is turned off. It is observed that it takes 5 min for the rotor to come to rest. Assuming that the motion is uniformly accelerated, determine the angular acceleration of the rotor.arrow_forward
- The turbine rotor of a ship has a mass of 2.2 tonnes and CO1(L2) rotates at 1800 rpm clockwise when viewed from the aft The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when (a) The ship turns right at a radius of 250 m with a speed of 25 km/h. (b) The ship pitches with the bow rising at an angular velocity of 0.8 rad/s (c) The ship rolls at an angular velocity of 0.1 rad/s.arrow_forward2. A Porter governor has two balls each of mass 3 kg and a central load of mass 15 kg. The arms are all 200 mm long, pivoted on the axis. If the maximum and minimum radii of rotation of the balls are 160 mm and 120 mm respectively, find the range of speed. [Ans. 28.3 r.p.m.] of the conta ind in 191 ab hall in 2 lg The tonarrow_forwardFigure shown represents a schematic diagram of a Porter governor. Each fly ball weighs 16.1 lb and the central weight D is 40 lb. Determine the rotational speed in rpm about the vertical axis AD at which the weight D begins to rise. Answer: n=109 rpmarrow_forward
- 1. The turbine rotor of a ship has a mass of 8 tones and a radius of gyration 0.6 m. It rotates at 1800 r.p.m. clockwise, when looking from the stern. Determine the gyroscopic couple, if the ship travels at 100 km/hr and steer to the left in a curve of 75 m radius.arrow_forward1. Two uniform thin disks are bolted together with rope wrapped around each of them with weights attached to the end of each rope. Knowing the system is released from rest, determine the rpm (revolutions per minute) of the conjoined disks and which direction they will spin after 10s. A = 8 in, rB = 6 in. C 15 lb O B o O O D 18 lbarrow_forwardProblem 3 At the instant when 0 = 36.87°, the body of the satellite rotates with angular velocity of wi = 1.5 rad/s and angular acceleration of 2 rad/s. Simultaneously, each solar panel rotates with angular velocity of w2 = 2 rad/s and angular acceleration of 1 rad/s, both measured relative to the body of the satellite. • Determine the angular velocity vector wsp of the solar panel. Determine the angular acceleration vector asp of the solar panel. • Determine the position vector rao of point B.arrow_forward
- EXAMPLE: 10. At the instant shown the boomerang has an angular velocity w = 4 rad/s and its mass center G has a velocity VG = 6 in/ Determine the velocity of point B at this instant. (Practice at Home) "g=6 in./s 30° B |00 = 4 rad/s G 1.5 in. 45 5 in.arrow_forwardA 5.32-kg disk A of radius 0.445 m initially rotating counter-clockwise at 436 rev/min is engaged with a 6.72-kg disk B of radius 0.275 m initially rotating clockwise at 528 rev/min, where the moment of inertia of a disk is given as I = ½ mi?. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disks. Remember to show clearly the equations that you use!!'arrow_forwardPart B As shown, a cam has a shape that is described by the function - 7o (2.00- cos ), where = 1.14 m. A slotted bar is attached to the origin and rotates in the horizontal plane with a constant angular velocity of 0.495 radians/s. The bar moves a roller having a mass of 15.0 kg along the cam's perimeter. A spring holds the roller in place; the spring's spring constant is 11.2 N/m. The friction in the system is negligible. When (= 105°, what are F and Fa, the magnitudes of the cylindrical components of the total force acting on the roller? Express your answers numerically in newtons to three significant figures separated by a comma. View Available Hint(a) FAX F.F 0.538,0.825 c ? Narrow_forward
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