A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line of the ship The revolving parts have a mass of 1 400 kg, a radius of gyration of 400 mm and revolve at 420 r/min If the ship steams at 36 km/h, round a curve of 180 m radius, find the magnitude and sense of the gyroscopic couple transmitted to the ship

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Question 23- Gyroscopic Couple
A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line
of the ship The revolving parts have a mass of 1 400 kg, a radius of gyration of 400 mm and
revolve at 420 r/min If the ship steams at 36 km/h, round a curve of 180 m radius, find the
magnitude and sense of the gyroscopic couple transmitted to the ship
Question 24-Gyroscopic Couple
A truck with four wheels, each 750 mm diameter, travels on rails round a curve of 75 m at a
speed of 50 km/h The total mass of the truck is 5 t and its centre of gravity is midway
between the axles, 1,05 m above the rails and midway between them Each pair of wheels is
driven by a motor rotating in the opposite direction to the wheels and at four times the speed
The moment of inertia of each pair of wheels is 15 kg m² The rails lie on a horizontal plane
and 1,45 m apart Determine the load on each rail
Question 25- Gyroscopic Couple
A racing motor cyclist travels at 140 km /h round a curve of 120 m radius (measured
horizontally) The cycle and rider have mass 150 kg and their mass centre is 0,7 m above
ground level when the machine is vertical Each wheel is 0 6 m in diameter and has moment
of inertia about its axis of rotation 1,5 kg m² The engine has rotating parts whose moment of
inertia about their axis of rotation is 0,25 kg m², and it rotates at five times the wheel speed in
the same direction
Find
(b)
the correct angle of banking of the track so that there will be no tendency to side slip
the correct angle of inclination of the cycle and rider to the vertical
Question 26-Gyroscopic Couple
A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line
of the ship The revolving parts have a mass of 1 400 kg, a radius of gyration of 400 mm a
revolve at 420 r/min If the ship steams at 36 km/h, round a curve of 180 m radius, find the
magnitude and sense of the gyroscopic couple transmitted to the ship
Comment Highlight
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Transcribed Image Text:← Question 23- Gyroscopic Couple A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line of the ship The revolving parts have a mass of 1 400 kg, a radius of gyration of 400 mm and revolve at 420 r/min If the ship steams at 36 km/h, round a curve of 180 m radius, find the magnitude and sense of the gyroscopic couple transmitted to the ship Question 24-Gyroscopic Couple A truck with four wheels, each 750 mm diameter, travels on rails round a curve of 75 m at a speed of 50 km/h The total mass of the truck is 5 t and its centre of gravity is midway between the axles, 1,05 m above the rails and midway between them Each pair of wheels is driven by a motor rotating in the opposite direction to the wheels and at four times the speed The moment of inertia of each pair of wheels is 15 kg m² The rails lie on a horizontal plane and 1,45 m apart Determine the load on each rail Question 25- Gyroscopic Couple A racing motor cyclist travels at 140 km /h round a curve of 120 m radius (measured horizontally) The cycle and rider have mass 150 kg and their mass centre is 0,7 m above ground level when the machine is vertical Each wheel is 0 6 m in diameter and has moment of inertia about its axis of rotation 1,5 kg m² The engine has rotating parts whose moment of inertia about their axis of rotation is 0,25 kg m², and it rotates at five times the wheel speed in the same direction Find (b) the correct angle of banking of the track so that there will be no tendency to side slip the correct angle of inclination of the cycle and rider to the vertical Question 26-Gyroscopic Couple A generating set is arranged on board ship with its axis parallel to the longitudinal centre-line of the ship The revolving parts have a mass of 1 400 kg, a radius of gyration of 400 mm a revolve at 420 r/min If the ship steams at 36 km/h, round a curve of 180 m radius, find the magnitude and sense of the gyroscopic couple transmitted to the ship Comment Highlight ||| Good Luck and keep safe Draw O T Text ⠀: 000 000 000 Fill & Sign More tools 11
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