WorksheetsEquilibrium of Rigid Body
Total questions: 15
Worksheet time: 8mins
What is the primary purpose of a free body diagram in the context of equilibrium?
a) To illustrate internal forces
b) To show external forces acting on a body
c) To represent moments
d) To visualize deformations
Which type of support allows rotation but prevents translation?
a) Fixed support
b) Hinge support
c) Roller support
d) Sliding support
What is the condition for stable equilibrium in rigid bodies?
a) The body is at rest
b) The body is about to tip over
c) The body is in constant motion
d) The body returns to its original position after a small disturbance
How is the moment of a force about a point calculated?
a) The force itself
b) The product of force and distance from the point
c) The square of the force
d) The inverse of the force
How is a couple represented vectorially?
a) As a single force
b) As two parallel forces with the same magnitude
c) As two parallel forces with different magnitudes
d) As two non-parallel forces
Varignon's theorem states that the moment of a force about a point is equal to:
a) The sum of the moments of the components of the force
b) The average of the moments of the components of the force
c) The difference between the moments of the components of the force
d) The product of the moments of the components of the force
What does the term "single equivalent force" refer to in the context of equilibrium?
a) A force that acts alone
b) A force that replaces a system of forces without changing the external effect
c) A force that is the result of internal forces
d) A force that is always directed upward
Equilibrium of rigid bodies in two dimensions involves the study of forces and moments in:
a) X and Y directions
b) Z direction only
c) Diagonal directions
d) Polar coordinates
What is the primary focus of equilibrium of rigid bodies?
a) Studying the deformation of bodies
b) Analyzing motion of bodies
c) Understanding internal forces within bodies
d) Studying forces and moments acting on bodies at rest
How do supports affect the equilibrium of a rigid body?
a) They don't have any impact on equilibrium
b) They determine whether the body is in stable equilibrium
c) They provide additional forces
d) They contribute to internal forces
What condition must be satisfied for a rigid body to be in stable equilibrium?
a) The body must be at rest
b) The body must not experience any forces
c) The sum of moments about any point must be zero
d) The body must return to its original position after a small disturbance
What type of equilibrium does a system have if it returns to its original position after a small disturbance?
a) Unstable equilibrium
b) Neutral equilibrium
c) Stable equilibrium
d) Dynamic equilibrium
When calculating the moment of a force about a point, the distance is measured:
a) Along the line of action of the force
b) Parallel to the force
c) Perpendicular to the force
d) At an arbitrary angle to the force
Which type of support allows translation and rotation?
a) Fixed support
b) Hinge support
c) Roller support
d) Floating support
What is the significance of a force having a moment about a point in a rigid body?
a) It causes translation
b) It causes rotation
c) It does not affect equilibrium
d) It is not a valid force
