The 5-kg disk and hub A have a radius of gyration of 85 mm about the zo-axis and spin at the rate p 1250 rev/min. Simultaneously, the assem- bly rotates about the vertical z-axis at the rate 2= 400 rev/min. Calculate the gyroscopic mo- ment M exerted on the shaft at C by the disk and the bending moment Mo in the shaft at O. Neglect the mass of the shaft but otherwise account for all forces acting on it. %3D %3D

The 5-kg disk and hub A have a radius of gyration of 85 mm about the zo-axis and spin at the rate p 1250 rev/min. Simultaneously, the assem- bly rotates about the vertical z-axis at the rate 2= 400 rev/min. Calculate the gyroscopic mo- ment M exerted on the shaft at C by the disk and the bending moment Mo in the shaft at O. Neglect the mass of the shaft but otherwise account for all forces acting on it. %3D %3D

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

THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagram
The 250 g disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular velocity ω2 of 6 rad/s. Find the Kinetic energy of the disk with this information.
HW4 A ship has its turbine engine mounted with its axis of rotation lengthways in the ship. When viewed from the back, the engine rotates anticlockwise at 3500 rev/min. The effective rotating mass of the engine is 200 kg with a radius of gyration of 0.4 m. Calculate the magnitude of the gyroscopic couple produced when the ship turns left on a radius of 200 m with a velocity of 3 m/s. Explain clearly the effect of the couple on the motion of the ship.
The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
Consider the wheel shown below with radius R, mass m, and radius of gyration ko¹ The wheel rolls without slipping under the action of a clockwise torque M. At the instant shown the spring with spring constant ks is unstretched. Derive an expression for the velocity of the wheel center of mass G after the center of mass has moved a distance d. (Hint: Use rigid body work-energy principles. The work done to the system by the applied moment is McA0 and A0 can be related to the distace d by the no-slip condition.) Us G R M м, ко ////
6. The turbine of a ship has a mass of 4000 kg. and a radius of gyration of 480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the stern. In each of the following cases determine, the magnitude and indicate clearly with suitable diagrams. the effect of the gyroscopic couple acting on the ship: (a) If the ship, when travelling at 15 ms¹ turns to starboard in a curve 1000 m radius. (b) If the ship is pitching and the bow is descending with maximum velocity. The pitching motion is simple harmonic, the period being 20 seconds and the total angular movement is 12º. (c) If the ship is rolling and at a certain instant has an angular velocity of 0.02 rad. s-¹ clockwise when looking forward from the stern.
Please don't provide handwritten solution....
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)