Concept explainers
A satellite has a total weight (on Earth) of 250 lbs, and each of the solar panels weighs 15 lbs. The body of the satellite has a mass moment of inertia about the z axis of 6 slug·ft2, and the panels can be modeled as flat plates. The satellite spins with a rate of 10 rpm about the z axis when the solar panels are positioned in the xy plane. Determine the spin rate about z after a motor on the satellite has rotated both panels to be positioned in the yz plane (as shown in the figure).
Fig. P17.80
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Fluid Mechanics: Fundamentals and Applications
DeGarmo's Materials and Processes in Manufacturing
Statics and Mechanics of Materials
Foundations of Materials Science and Engineering
- A spinning top consists of a ring (which can be treated as a cylindrical shell) of mass m = 0.52 kg and a radius of 60 mm is mounted on its central pointed shaft with spokes. The spokes and pointed shaft have negligible mass meaning that their inertia can be neglected. The top has a spin velocity of 10,000 rev/min and is released on a horizontal surface with the point at O remaining at a fixed point. Assuming that the spin angular velocity is high when compared to the precession, determine the magnitude of the precession angular velocity of the top. 15° 60 mm 80 mm 10000 rev/minarrow_forwardHW1 A uniform disc of 220 mm in diameter has a mass of 3.5 kg. It is mounted centrally in bearings that maintain its axle horizontally. The disc spins about its axle with a constant speed of 750 r.p.m. while the axle precesses uniformly about the vertical at 25 r.p.m. The directions of rotation are shown in the figure below. If the distance between the bearings is 200 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. 40 +X +Zarrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)arrow_forward
- A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)arrow_forward
- A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity g=9.81 m/s2 . (2) ) If the mass moment of inertia of the drum about point O is IO, and the angular acceleration of the drum is α, select the correct moment equation of the whole drum-block system about the point O._____________ A. mbgr=rmb(rα) B. 0 C. mbgr=Ioα +rmb(rα) D. mbgr=Ioαarrow_forwardThe top has a mass of 1 kg and radius of gyration of k, = 25 mm about its axis of symmetry. The top spins and precesses about the ball-and-socket joint at point O. It's transverse radius of gyration about point O is k = 63 mm. The spin velocity is ws = 150 rad/s. • Under these conditions. determine the two possible precession velocities op of the top. Determine the kinetic energy of the top for each of the two possible precession velocities.arrow_forwardAn aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km per hr. The rotary engine and the propeller of the plane has a mass of 600 kg and a radius of gyration of 0.3 m. The engine rotates at 2500 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.arrow_forward
- Each paddle wheel of a steamer have a mass of 1600 kg and a radius of gyration of 1.2 meters. The steamer turns to port in a circle of 160 meters radius at 24 km/hr. The speed of the paddle is 90 rpm. Determine the magnitude and effect of the gyroscopic couple acting on the steamer.arrow_forwardQ3 A uniform sphere of 150 mm diameter has a mass of 5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The sphere spins about its axle with a constant speed of 1000 r.p.m. while the axle precesses uniformly about the vertical at 60 r.p.m. The directions of rotation are as shown in Figure below. If the distance between the bearings is 100 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. (35 degrees)arrow_forwardA shaft carries four masses A, B, C and D of magnitudes 18 kg, 15 kg, 27 kg, and 22.5 kg respectively and revolving at radii 20 mm, 25 mm, 30 mm and 15 mm respectively. The masses are rotating in the same plane. The angular position of masses B, C and D are 60 degrees , 135 degrees and 270 degrees from mass A. Find the magnitude and position of the balancing mass at a radius of 50 mm,arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY