Q3- In the schematic drawing in Figure below, the change in the forward angular momentum during the gyroscopic effect is 7 kg m/s², and it was found that the product of the orthogonal velocities is equal to two hundred rad/ s?; determine 1- mass moment of inertia of rotor, 2- If you look at the ship from the port, is the ship sailing to the right or left (draw the ship to clarify your answer) ? , and 3- what is the effect of GC on the ship?.

Q3- In the schematic drawing in Figure below, the change in the forward angular momentum during the gyroscopic effect is 7 kg m/s², and it was found that the product of the orthogonal velocities is equal to two hundred rad/ s?; determine 1- mass moment of inertia of rotor, 2- If you look at the ship from the port, is the ship sailing to the right or left (draw the ship to clarify your answer) ? , and 3- what is the effect of GC on the ship?.

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 uniform rod of mass M and length L rotates in the plane of the figure about an axis through one end. As the rod swings through its lowest position, it collides with a putty wad of mass m, that sticks to the end of the rod. If the rod's angular speed just before collision is w, a) what is the angular speed of the rod-putty system immediately after collision? Rotation axis Rod b) What is the change in the kinetic energy of the rod-potty system (immediately before to immediately after the collision)? Does the kinetic energy increases, decreases, or remains the same? Provide your answers symbolically.
Equation of Motion The triangle is made of 3 rods of a length 1-2.1ft and density is p = 4 lb/ft. ^ 1) Establish what you think is the best Coordinate system for this problem and explain why. 2) Find the location of the center of gravity (x bar and y bar). 3) Find the weight of the triangle. 4) Find the Mass Moment of Inertia at O of the triangle. 5) Draw the FBD and kinetic diagram of the triangle. 6) Find the accelerations of the triangle (angular and linear). 7) Find the Pin Reaction at O: . On and Ot • or Ox and Oy . • Magnitude O, and direction. In the box below, enter the angular acceleration & in rad/s with one decimal. Include the sign + if CCW or - sign if CW.
A solid bar of mass m and length L stands vertically on a frictionless table and is then released to fall down. The moment of inertia about the center of mass is Ic = mL²/12. At the moment when the top end B just reaches the ground (0-0), (a) what are the angular velocity and angular acceleration? (b) what is the center-of-mass acceleration? (c) what is the normal force of the ground to end D? Hint: It may be helpful to find out the instant rotation axis. В m. L D
J1. In summary, the rotational acceleration of the rollers is 44.02 rad/s2. Using the mass moment of inertia found in step 5, what is the torque required to accelerate the rollers?
4а. Show that the torque t = la, where I is the rotational inertia. Consider the pulley system shown in figure 4. Suppose the pulley is made up of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a. Find the moment of inertia I, of the pulley through the center of mass. 4b. Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, µk. You may assume that there is no slipping between the pulley and the rope and the mass of the rope is negligibly small in comparison with the mass M1, and M2. The coefficient of friction between M2 and the incline is µk with M1> M2. 4c. Mr md MK outer ving (Mr) Central dise (Ma) RI axis at RAzti on X- Sedi on a pullag
B 400 mm 350 350 m A A slender steel rod ABweighs 2.8 kg and is secured to the rotating shaft by the rod OG and its fittings at O and G (as shown in the figure). The angle B remains constant at 30°, and the entire rigid assembly rotates about the z-axis at the steady rate N = 600 rev/ min.
The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O, and the mass of the axle is negligible. Use ?=2.9cm and ?=3cm. a. As seen from above, is the precession clockwise or counterclockwise? b. If the gyroscope precesses at 1.7 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.
Question 4 [17] A 3 kg disk shown in Figure 3 is pin supported at its center. The disk is rotated from rest and attains a constant angular velocity of 15 rad/s. If the mass of the rope is negligible and the radius of gyration of the drum is 50 mm, calculate: mass - 3 kg r=100 mm B m mass = 10 kg Figure 3: The 3 kg disk the angular acceleration of the drum, the tension in the rope, and torque experienced by the drum. 4.1. (13) (2) (2) 4.2. 4.3. Examiner Moderator
Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia of- mL²; the one to the 27 192 1 mL². Then transform this Fo sin cor right has a mass moment of inertia of- 192 differential equation of the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. TET 4 fm o Mo sin or
A block of mass 40 kg slides to the right due to the application of the force T. Neglect the mass of the pulleys. 30° 40 kg T = 100 N Hy = 0.50 Hp = 0.40 A Figure Q6 (a) Set up the global reference axes system and draw the free body, kinematic and kinetic diagrams of the block.
Consider the system shown at right. Find an equation of motion for the block with mass m,. Assume that the small wheel has negligible mass moment of inertia and that the larger one has a radius R and a mass moment of inertia I (measured respect to its axis of rotation). Note that there is a friction between the block with m2 mass m2 and the plane. The dynamic friction coefficient is equal to µa. m1 Md
0.5 m, k = 500 N/m, and k = 40 N.m/rad, In the system shown, m = 10 kg, r = 0.3 m, Ko where ko is the radius of gyration of the pulley about point 0. There is no slippage between the cord and the pulley. Replace the system with an equivalent { a) torsional spring and mass moment of inertia at point 0, and b) translational mass and spring at point A. т, Ко kt А k m ww