Centripetal and Centrifugal Forces Quiz

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Questions and Answers

What is the mass moment of inertia of the rotor?

  • 2000 kg-m^2
  • 4800 kg-m^2
  • 3700 kg-m^2
  • 3200 kg-m^2 (correct)

What is the angular velocity of precession in radians per second?

  • 0.82 rad/s
  • 0.37 rad/s (correct)
  • 1.25 rad/s
  • 0.68 rad/s

What is the gyroscopic couple acting on the rotor?

  • 250.432 kN-m
  • 150.324 kN-m
  • 120.575 kN-m
  • 200.866 kN-m (correct)

In which direction does the reactive gyroscopic couple raise and lower the ship's ends?

<p>Raise the bow and lower the stern (B)</p> Signup and view all the answers

Where are gyroscopes commonly used for maintaining direction?

<p>In inertial navigation systems (B)</p> Signup and view all the answers

What condition needs to be met for the effect of gyroscopic couple to occur?

<p>Axis of precession perpendicular to the axis of spin (D)</p> Signup and view all the answers

In which scenario will there be no effect of the gyroscopic couple acting on the body of a ship?

<p>When the axis of precession is parallel to the axis of spin (B)</p> Signup and view all the answers

What is the relation between the road reaction over each wheel and the weight of the vehicle?

<p>Road reaction equals one-fourth of the weight (C)</p> Signup and view all the answers

What is the net gyroscopic couple equation for a vehicle experiencing a turn?

<p>$C = W.P (4 IW ± G.IE)$ (A)</p> Signup and view all the answers

What is the effect of centrifugal force on a vehicle moving along a curved path?

<p>Overturns the vehicle (A)</p> Signup and view all the answers

What happens when PI is zero or negative at high speeds?

<p>Inner wheels leave the ground (C)</p> Signup and view all the answers

What will be the reaction at outer wheels due to gyroscopic couple?

<p>Vertically upwards (B)</p> Signup and view all the answers

What is the significance of road reaction over each wheel?

<p>Balances gyroscopic couple effect (D)</p> Signup and view all the answers

How does centrifugal force impact vehicle stability in a turn?

<p>Reduces stability (B)</p> Signup and view all the answers

At what speed might inner wheels leave the ground due to certain conditions?

<p>Both low and high speeds (B)</p> Signup and view all the answers

What is the force required to keep a body moving along a curved path with uniform linear velocity?

<p>Active force (D)</p> Signup and view all the answers

What happens to the angular momentum vector of an aero plane when it takes a left turn?

<p>It changes direction from ox to ox' (D)</p> Signup and view all the answers

Which force acts radially outwards on a body moving with uniform linear velocity along a circular path?

<p>Centrifugal force (C)</p> Signup and view all the answers

In which direction does the active gyroscopic couple act on an aero plane taking a left turn?

<p>Clockwise (B)</p> Signup and view all the answers

What is the action of the reactive or centrifugal force on a body?

<p>To tilt or move the body along radially outward direction (D)</p> Signup and view all the answers

What effect does the reactive gyroscopic couple have on an aero plane taking a left turn?

<p>Raises the nose and dips the tail (A)</p> Signup and view all the answers

What is the fore end of a naval ship called?

<p>Bow (A)</p> Signup and view all the answers

How is angular acceleration defined?

<p>Rate of change of angular velocity with respect to time (C)</p> Signup and view all the answers

How can angular acceleration be represented visually?

<p>By drawing a vector diagram with the right hand screw rule (B)</p> Signup and view all the answers

When viewed from the stern, what are the left hand and right hand sides of a naval ship called?

<p>Port and star-board (A)</p> Signup and view all the answers

'Pitching' of a naval ship refers to movement up and down in a ____ plane.

<p>Vertical (A)</p> Signup and view all the answers

What effect does the reactive gyroscopic couple have when the ship pitches upward?

<p>Moves the ship toward star-board (A)</p> Signup and view all the answers

'Rolling' in naval ships involves movement about which axis?

<p>Longitudinal (A)</p> Signup and view all the answers

'Steering' of a naval ship involves turning in a curve towards:

<p>Left or right (D)</p> Signup and view all the answers

What is named as 'stern' in naval ships?

<p>Rear end (C)</p> Signup and view all the answers

What is the angle of heel in relation to the vehicle's equilibrium?

<p>The angle between the axis of spin and the vertical plane (D)</p> Signup and view all the answers

Which force acts horizontally through the center of gravity along the outward direction?

<p>Centrifugal force (C)</p> Signup and view all the answers

What is the formula to calculate the mass moment of inertia of a disc?

<p>m × r^2/2 (B)</p> Signup and view all the answers

Which term represents the speed at which a disc rotates about an arm?

<p>Speed of precession (B)</p> Signup and view all the answers

When an aeroplane turns towards left, what is the effect of the gyroscopic couple?

<p>Lifts the nose upwards and tail downwards (C)</p> Signup and view all the answers

What is the gyroscopic couple on an aircraft when given its mass moment of inertia as 36 kg-m^2 and precession speed as 1.11 rad/s?

<p>100 N-m (B)</p> Signup and view all the answers

What angle is crucial for determining the vehicle's stability so that it does not skid?

<p>Angle of heel (A)</p> Signup and view all the answers

What is the angular velocity of the axis of spin about the axis of precession denoted by?

<p>P (B)</p> Signup and view all the answers

What is the plane in which the disc is rotating called?

<p>Plane of spinning (B)</p> Signup and view all the answers

What is the axis about which the axis of spin is to turn known as?

<p>OY (B)</p> Signup and view all the answers

In which plane does the active gyroscopic couple lie?

<p>Plane XOY (A)</p> Signup and view all the answers

What is the axis perpendicular to the plane XOY, about which the active gyroscopic couple acts, known as?

<p>OZ (A)</p> Signup and view all the answers

What is the reactive couple to which the disc is subjected when the axis of spin rotates about the axis of precession known as?

<p>Reactive gyroscopic couple (A)</p> Signup and view all the answers

What is the vector representing the change in angular momentum known as?

<p>'XX' (A), 'XX' (B)</p> Signup and view all the answers

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