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Machine Dynamics Practice Test: Gyroscopic Couple and Precessional Motion
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Gyroscopic Couple and Precessional Motion topics include: Precessional angular motion, gyroscopic couple, effect of gyroscopic couple on aeroplane and naval ship, stability of four wheel and two wheel while taking turns, gyroscopic couple effects. A gyroscopic couple is a force that causes a rotating object to tilt perpendicularly. Precessional motion is the movement that results when an object's axis of rotation changes direction without any external torque applied.  A gyroscopic couple is also known as gyroscopic torque. It's the torque or turning force created by a spinning gyroscope... Show more
Machine Dynamics Practice Test: Gyroscopic Couple and Precessional Motion
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25 Questions

1. The mass of the turbine rotor of a ship is 20 tonnes and has a radius of gyration of 0.60 m. Its speed is 2000 r.p.m. The ship pitches 6° above and 6° below the horizontal position. A complete oscillation takes 30 seconds and the motion is simple harmonic. Determine Maximum angular acceleration of the ship during pitching.
2. If the length and radius of the disc is same them moment of inertia is more about which axis?
3. The rolling of a complete ship side-ways is known as pitching of a ship.
4. The axis of precession is parallel to axis of spin during rolling for only a selected few positions.
5. The overturning couple acting on the four wheeler vehicle is balanced by which of the following forces?
6. The axis of precession is ____________ to the plane in which the axis of spin is going to rotate.
7. Which of the following factor is not responsible for the stability of a 4 wheel vehicle while negotiating a turn?
8. Which of the following represent the maximum angular acceleration?
9. The turbine rotor of a ship has a mass of 8 tonnes and a radius of gyration 0.6 m. It rotates at 1800 r.p.m. clockwise, when looking from the stern. Determine the gyroscopic couple, if the ship travels at 100 km/hr and steer to the left in a curve of 75 m radius.
10. If the net gyroscope couple is negative then which of the following is true?
11. Which of the following relation is correct regarding the net gyroscope couple C acting on a four wheel vehicle?
12. Rolling is the turning of a complete ship in a curve towards left or right, while it moves forward.
13. A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed of 2100 r.p.m. The rotor has a radius of gyration of 0.5 m and rotates in a clockwise direction when viewed from the stern. Find the gyroscopic effect when the ship sails at a speed of 30 km/h and steers to the left in a curve having 60 m radius.
14. The rotor of a ship rotates in clockwise direction when viewed from stern and the ship takes a left turn. The effect of gyroscopic couple acting on it will be
15. Let x be the track width of the vehicle, then which of the following expression is correct for vertical reaction Q at the two outer or inner wheels?
16. The relation between overturning couple and height of centre of gravity is given by_______
17. The pitching of the ship is assumed to take place with which of the following motion?
18. In latitude 25.0 S, SA (spin axis) of a FG (free gyro) is in position S40E and horizontal. Find the tilt after 6 hours.
19. Which of the following quantity represent the gear ratio “G” for a 2 wheeler vehicle? (w: wheels, e: engine, R: radius of track, rw: radius of wheels & I: moment of inertia)
20. A uniform disc of diameter 300 mm and of mass 5 kg is mounted on one end of an arm of length 600 mm. The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed of 300 r.p.m. clockwise, looking from the front, with what speed will it precess about the vertical axis?
21. The engine of an aeroplane rotates in clockwise direction when seen from the tail end and the aeroplane takes a turn to the right. The effect of gyroscopic couple on the aeroplane will be to dip the nose and raise the tail.
22. The air screw of an aeroplane is rotating clockwise when looking from the front. If it makes a left turn, the gyroscopic effect will
23. The rotor of a ship rotates in clockwise direction when viewed from stern and the ship takes a right turn. The effect of gyroscopic couple acting on it will be to raise the stern and lower the bow.
24. From the following data calculate the gyroscopic couple on the bearing in N-m.
Mass of disc = 30 Kg, diameter = 60 cm
Rotation speed = 1200 rpm
Angle between disc and a plane 90 degree to the axis of shaft = 1°
25. In order to maintain contact between inner wheel and ground the sum of vertical reactions at each of the outer and inner wheels should be less than______