Topic One Flashcards
What is a resultant vector?
A resultant is the vector sum of two or more vectors, i.e., a single vector having the same effect as two or more vectors together.
How do you determine the resultant of vectors on a Cartesian plane?
Use the component method to find vertical and horizontal components, then add co-linear components to obtain the resultant vertical vector (R₁) and resultant horizontal vector (R₂).
What theorem is used to calculate the magnitude of the resultant vector?
The theorem of Pythagoras.
What methods can be used to determine the resultant of two vectors graphically?
Tail-to-head method, tail-to-tail method (parallelogram method).
What is a closed vector diagram?
A closed vector diagram is one where the vectors form a closed loop, indicating that the resultant is zero.
What is the formula for the resultant x component (R₁) if θ is the angle between R and the x-axis?
R₁ = R cos(θ).
What is the formula for the resultant y component (R₂) if θ is the angle between R and the x-axis?
R₂ = R sin(θ).
Define normal force (N).
Normal force is the force or component of a force which a surface exerts perpendicular to an object in contact with it.
What direction does the normal force act?
Perpendicular to the surface.
What is a frictional force?
A frictional force is the force that opposes the motion of an object and acts parallel to the surface.
True or False: The frictional force is independent of the area of the surfaces in contact.
True.
Define static frictional force (f_s).
Static frictional force is the force that opposes the tendency of motion of a stationary object relative to a surface.
What is the range of values for static frictional force?
From zero up to a maximum value of f_s,max = μ_s N.
What happens when the applied force exceeds the maximum static frictional force?
The object begins to move across the surface.
Define kinetic frictional force (f_k).
Kinetic frictional force is the force that opposes the motion of a moving object relative to a surface.
How does kinetic frictional force behave for a given object?
It is constant for a given object.
Fill in the blank: The maximum static frictional force (f_s,max) is equal to the magnitude of the maximum horizontal force that can be applied to the object without it starting to move across the surface. This can be expressed as _______.
f_s,max = μ_s N.
What is the static frictional force, fs?
The force that opposes the tendency of motion of a stationary object relative to a surface.
What is the maximum value of static frictional force, fmax?
The maximum static frictional force, fmax, is equal to the magnitude of the maximum horizontal force that can be applied to the object without it starting to move across the surface.
Fill in the blank: The maximum static frictional force can be solved using the formula _______.
fmax = μs * N
What is the kinetic frictional force, fk?
The force that opposes the motion of a moving object relative to a surface.
How does the kinetic frictional force behave for a given surface?
The kinetic frictional force on an object is constant.
Fill in the blank: The kinetic frictional force can be solved using the formula _______.
fk = μk * N
What do force diagrams represent?
In a force diagram, the force is represented by an arrow; the direction indicates the force’s direction, and the length indicates its magnitude.
What is the first law of motion stated by Newton?
A body will remain in its state of rest or motion at constant velocity unless a non-zero resultant/net force acts on it.
Define inertia.
The resistance of an object to any change in its state of motion.
What is Newton’s second law of motion?
When a resultant/net force acts on an object, the object will accelerate in the direction of the force at an acceleration directly proportional to the force and inversely proportional to the mass of the object.
Fill in the blank: In symbols, Newton’s second law can be expressed as _______.
Fnet = m * a
What does a free-body diagram show?
The relative magnitudes and directions of forces acting on an object that has been isolated from its surroundings.