Q.1
A uniform disc of diametermm and of mass 5 kg is mounted on one end of an arm of lengthmm. The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed ofr.p.m. clockwise, looking from the front, with what speed will it precess about the vertical axis?
  • a) 14.7 rad/s
  • b) 15.7 rad/s
  • c) 16.7 rad/s
  • d) 17.7 rad/s
Q.2
An aeroplane makes a complete half circle ofmetres radius, towards left, when flying atkm per hr. The rotary engine and the propeller of the plane has a mass ofkg and a radius of gyration of 0.3 m. The engine rotates atr.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.
  • a) 10.046 kN-m
  • b) 11.046 kN-m
  • c) 12.046 kN-m
  • d) 13.046 kN-m
Q.3
The turbine rotor of a ship has a mass of 8 tonnes and a radius of gyration 0.6 m. It rotates atr.p.m. clockwise, when looking from the stern. Determine the gyroscopic couple, if the ship travels atkm/hr and steer to the left in a curve ofm radius.
  • a) 100.866 kN-m
  • b) 200.866 kN-m
  • c) 300.866 kN-m
  • d) 400.866 kN-m
Q.4
The heavy turbine rotor of a sea vessel rotates atr.p.m. clockwise looking from the stern, its mass beingkg. The vessel pitches with an angular velocity of 1 rad/s. Determine the gyroscopic couple transmitted to the hull when bow is rising, if the radius of gyration for the rotor ismm.
  • a) 4.364 kN-m
  • b) 5.364 kN-m
  • c) 6.364 kN-m
  • d) 7.364 kN-m
Q.5
The turbine rotor of a ship has a mass ofkg. It has a radius of gyration of 0.m and a speed ofr.p.m. clockwise when looking from stern. Determine the gyroscopic couple upon the ship when the ship is steering to the left on a curve ofm radius at a speed ofkm/h.
  • a) 11.27 kN-m
  • b) 22.27 kN-m
  • c) 33.27 kN-m
  • d) 44.27 kN-m
Q.6
The turbine rotor of a ship has a mass ofkg. It has a radius of gyration of 0.m and a speed ofr.p.m. clockwise when looking from stern. Determine the gyroscopic couple upon the ship when the ship is pitching in a simple harmonic motion, the bow falling with its maximum velocity. The period of pitching isseconds and the total angular displacement between the two extreme positions of pitching isdegrees.
  • a) 3.675 kN-m
  • b) 4.675 kN-m
  • c) 5.675 kN-m
  • d) 6.675 kN-m
Q.7
The mass of the turbine rotor of a ship istonnes and has a radius of gyration of 0.m. Its speed isr.p.m. The ship pitchesabove andbelow the horizontal position. A complete oscillation takesseconds and the motion is simple harmonic. Determine Maximum gyroscopic couple.
  • a) 11.185 kN-m
  • b) 22.185 kN-m
  • c) 33.185 kN-m
  • d) 44.185 kN-m
Q.8
The mass of the turbine rotor of a ship istonnes and has a radius of gyration of 0.m. Its speed isr.p.m. The ship pitchesabove andbelow the horizontal position. A complete oscillation takesseconds and the motion is simple harmonic. Determine Maximum angular acceleration of the ship during pitching.
  • a) 0.0016 rad/s2
  • b) 0.0026 rad/s2
  • c) 0.0036 rad/s2
  • d) 0.0046 rad/s2
Q.9
A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed ofr.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 ofkm/h and steers to the left in a curve havingm radius.
  • a) 38.5 kN-m
  • b) 48.5 kN-m
  • c) 58.5 kN-m
  • d) 68.5 kN-m
Q.10
A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed ofr.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 pitches 6 degree above and 6 degree below the horizontal position. The bow is descending with its maximum velocity. The motion due to pitching is simple harmonic and the periodic time isseconds.
  • a) 6075 N-m
  • b) 7075 N-m
  • c) 8075 N-m
  • d) 9075 N-m
0 h : 0 m : 1 s