A cicular dise of 100 kg mass and Im diameter is supported between two bearings on a shaft of negligible weight as shown in Fig. These bearings are supported by vertical thin cords. When the dise is rotating at 100 rad/s in clockwise direction when looking from the right hand side bearing, the right cord gets broken. For this configuration determine the motion of precession in direction and magnitude also in details discuss the effect of gyroscopic couple on the rotating disc.

A cicular dise of 100 kg mass and Im diameter is supported between two bearings on a shaft of negligible weight as shown in Fig. These bearings are supported by vertical thin cords. When the dise is rotating at 100 rad/s in clockwise direction when looking from the right hand side bearing, the right cord gets broken. For this configuration determine the motion of precession in direction and magnitude also in details discuss the effect of gyroscopic couple on the rotating disc.

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

Fp acts at the end of the link in the horizontal, rightward direction. Given a uniform 10 in. link weighing 4 lb. (mass=0.0104 blobs) subject to an external horizontal force Fp=40 lb. The mass moment of inertia about CG is 0.08 lb-in-sec?. Its kinematic data are: 0,=30 deg., @,=20 rad/sec, a,=15 rad/sec? Find F12 and T12 at this instant in time. a
A rotating disc of 2m diameter has two eccentric masses of 0.6kg each radii of 60mm and 70mm at angular positions of 00 and 1500, respectively. A balancing mass of 0.1 kg is to be used to balance the rotor. What is the radial position of the balancing mass?
A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed -2 to +2% What is the mass moment of inertia of the flywheel?
Consider a slider crank mechanism with nonzero masses and inertia. A constant torque tis applied on the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, 0 versus time m Time (а) о (b) Time (c) (d) Time Time
The turning-moment diagram for an engine consists of two isosceles triangles each with a height equivalent to a torque of 16kNm. The bases of the triangles lie between ? = 0 ? and ? = 180 , and ? = 180? and ? = 360? respectively. If the engine is to rotate with a mean speed of 130 rpm, calculate the following: the mass of the flywheel having a radius of gyration 1.1m to restrict the fluctuation of speed to +1.5% of the mean speed.
A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 360 r.p.m. If the speed varies from 6 % above the mean to 2 % below it and the fluctuation energy is 1200 kN-cm, If the radius of gyration is 20 cm, find (i) mass moment of inertia of the wheel and (ii) mass of flywheel. The mass moment of Inertia in Kgm2 is Mass of the flywheel in kg is
A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 340 r.p.m. If the speed varies from 10 % above the mean to 4 % below it and the fluctuation energy is 1900 kN-cm, If the radius of gyration is 70 cm, find (i) mass moment of inertia of the wheel and (ii) mass of flywheel. (Enter only the values in the boxes by referring the units given in bracket. Also upload the hand written copy in the link provided) Solution: The mass moment of Inertia in Kgm? is Mass of the flywheel in kg is
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)?
FOR FIG REFER THE ATTACHED IMAGE The shaft is massless. A thin attached triangular mass ‘m’ is mounted on the shaft. Rotational speed of the shaft is ω. Neglect weight effect of attached mass. Bearings are at A and B. Take Z- axis along the shaft axis. X- axis is vertically downward. Y – axis is horizontal. Take origin at mid-point on the shaft. Question: Under what practical condition can we justify the neglecting of weight of the attached triangular body?
The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at 0, and the mass of the axle is negligible. Use r = 1.6 cm and R = 3 cm. r 下 Pivot Top view a) (a) As seen from above, is the precession clockwise or counterclockwise? Counterclockwise Clockwise b) If the gyroscope precesses at 0.2 revolution per second, what is the angular speed of the wheel in revolution per minute? Insert your answer correct up to at least a third decimal place.
Important problem. The motor produces a counterclockwise torque 1 N.m on the attached disk A. A Part of this torque is transferred to the disk C through the belt after amplification. The disk A has mass 0.5 kg. and the disk C has mass = 4.5 kg. Find: (50 m 5omm pully C I. The difference tension between the palley A Te belt parts (7- T). II. The angular acceleration of the disk С. The angular acceleration of disk A. The angular velocity of the disk C after 5 seconds from the motion start. The transferred torque to the disk C. III. IV. V.
Example 7: The rotor of a jet airplane engine which is supported by two bearings is shown in figure 2. The rotor assembly including compressor, turbine, and shaft has a mass of 1000 kg and a radius of gyration of 250 mm. Determine the maximum bearing force as the airplane undergoes Jy a pull-out on circular curve whose radius is 2,000 m at a constant speed of 1,000 km/ hr and the engine rotor speed is 10,000 rpm CW as seen from bearing 1. Include the gyroscopic, centrifugal as well as the weight effects. Assume the engine have a mass center at the middle of the assembly and it is 0.1l m above the airplane base. Turbine Compessor Bearing Bearing Shaft 2.134 m