HW2 A uniform disc of 80 mm radius has a mass of 2000 g. It is mounted centrally in bearings that maintain its axle horizontally. The disc spins about its axle with a constant speed of 550 r.p.m. while the axle precesses uniformly about the vertical at 50 r.p.m. The directions of rotation are shown in the figure below. If the distance between the bearings is 130 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects.

HW2 A uniform disc of 80 mm radius has a mass of 2000 g. It is mounted centrally in bearings that maintain its axle horizontally. The disc spins about its axle with a constant speed of 550 r.p.m. while the axle precesses uniformly about the vertical at 50 r.p.m. The directions of rotation are shown in the figure below. If the distance between the bearings is 130 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects.

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

See similar textbooks

Similar questions

An aeroplane makes a complete half circle of 50 metres radius, towards left, when flying at 200 km per hour. The rotary engine and the propeller of the plane has a mass of 400 kg with a radius of gyration of 300 mm. The engine runs at 2400 r.p.m. clockwise, when viewed from the rear. Find the gyroscopic couple on the aircraft and state its effect on it. What will be the effect, if the aeroplane turns to its right instead of to the left ?
the proel governor shown as each ball weighs 3 kg and central sleeve weight is 25 kg. The arms are of 20 cm length and pivoted about axes displaced from central axis of rotation by 3.75 cm, y = 23.8 cm, x = 30 35 cm, CE = 8.5 cm, MD = 14.25 cm. Determine equilibrium speed.
A flywheel of mass 10kg has a radius of gyration of 20cm.It is given a spin of 1000 r.p.m. about its axis which is horizontal. The flywheel is suspended at a point 15cm from the plane of rotation of the flywheel. Determine the gyroscopic reaction torque. Note: explain clealry
A flywheel of mass 10kg has a radius of gyration of 20cm.It is given a spin of 1000 r.p.m. about its axis which is horizontal. The flywheel is suspended at a point 15cm from the plane of rotation of the flywheel. Determine the gyroscopic reaction torque. Please provide a detailed solution with steps and explanations. Thank you!!
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
The shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.
A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car The combined moment of inertia of the rotating masses is 10 kg-m².what is the magnitude of the gyroscopic moment in (N-m)?
The crankshaft of a vertical engine, stroke 250 mm, rotates at 300 rpm. The reciprocating parts have a mass of 100 kg. The connecting rod has a mass of 120 kg, it is 450 mm long, the C.G is 300 mm from the gudgeon pin axis and the radius of gyration about that axis is 363 mm. When the crank is 30o from the TDC position and moving downwards, find:-The total kinematic energy of the connecting rod
A 96.6 lb is fastened to a cord which is wrapped around a solid cylinder of 3ft radius weighing 322 lb. The cylinder rotates about its horizontal and centroidal axis. What torque applied to the cylinder will raise the weight with an acceleration of 12ft per second? What will be the total bearing reaction?
A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20cm, 25 cm, 10 cm and 15 cm respectively. The masses of B, C and D are 3 kg, 5 kg and 4 kg respectively.The planes containing B and C are 25 cm apart. Angle between B and C is 90o and between B and D is220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angularposition of A, (ii) The position of planes A and D.
A motor is attached to a flywheel, which exerts a couple moment M = 20e-0.1t N m from rest at t = 0 s. If the flywheel has a mass of 10 kg and a radius of gyration of 30 cm Find:a) What is the moment of inertia of the flywheel? b) What is the angular velocity of the flywheel after 10 s? c) What is the maximum angular velocity that the flywheel can reach?
The beam, uniform in mass, M = 47.6 kg and length L = 10.2 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 24.3 kg is hanging. The beam is making an angle of θ = 30.9° at point A with respect to the + x-axis. The cable makes an angle φ = 21.1° with respect to the - x-axis at B. Assume ψ = θ + φ. a. Enter an expression for the lever arm for the weight of the beam, lB, about the point A. b. Find an expression for the lever arm for the weight of the mass, lm. c. Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. d. What is the magnitude, in newtons, of the tension in the cable? e. Enter an expression the horizontal component of the force, Sx, that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables…