As shown in Figure 5, disk A is free to spin about the bar B, which is perpendicular to the disk and rotates anti-clockwise with a constant angular velocity a, =1 rad/s about zaxis. The length of bar B is L= 23m, and the radius of the disk R=2 m. Assume that the disk spins without slipping on the surface. 1) Determine the absolute angular velocity of the disk aog: 2) Determine the absolute angular acceleration of the disk a; 3) Determine the velocity and acceleration of point P on the disk.

As shown in Figure 5, disk A is free to spin about the bar B, which is perpendicular to the disk and rotates anti-clockwise with a constant angular velocity a, =1 rad/s about zaxis. The length of bar B is L= 23m, and the radius of the disk R=2 m. Assume that the disk spins without slipping on the surface. 1) Determine the absolute angular velocity of the disk aog: 2) Determine the absolute angular acceleration of the disk a; 3) Determine the velocity and acceleration of point P on the disk.

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

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)?
Consider a cylinder of radius R = 0.6 m and radius of gyration k = 0.33 m rolling (without slipping) down an inclined plane. The plane makes an angle of ø = 10 deg with the horizontal plane. How long (in seconds) will it take for the center of cylinder to travel a distance of 1.3 m.
3. The bar shown rotates about the z-axis. Find the velocity and accleration of point P for the instant when the angular aceleration is 4 rad/s² and angular velocity is 1.5 rad/s, both in the directions shown. Give your answers in terms of the given Cartesian coordinates. Note: This problem is trying to fool you. The position vector re must be normal to the axis of rotation, which is not from point O. α 0! 500 mm, p 50 mm 200 mm
3. For the diagram below, derive for the angular displacements of the rotating discs. GJ₁ L₁ M₁(t) 0₁ (1) >|< GJ₂ L2- M₂(t) 0₂(1)
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 ?
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.
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. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)
PROBLEM 2 For the mechanism, shown on the figure, @nc = const=5s. O4-BC-0,3 m. AB 0,6 m. Determine: a) velocity and acceleration of the point B: b) angular acceleration of the body BC: c) angular velocity and angular acceleration of the body O4: d) linear velocity and acceleration of the point 4. 120
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=Ioα
Q3 A disk of radius R shown in the figure R spins at the rate of 0 about an axle held by a fork-ended horizontal rod that rotates itselfat the rate of Ø. Find the angular velocity of the disk.
Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l = 37/19200 kg-m²:a. Which of the equations given in the second image can be used to solve for the angular acceleration of rod BD?b. What is the angular acceleration of rod BD?
A motor (which is not shown in the figure) rotates the rod OB about the z-axis. The torque applied by the motor is given as T = 0.4 Nm. The rod OB is rotating at 3 rad/s at that instant which R = 0.4 m. And a rope attached to the slider A is let out at the constant rate of 0.25 m/s. What is the angular velocity after 10s?(Please neglect the mass of rod OB).