Mechanics Flashcards
What is a vector?
A vector is a quantity that has both magnitude and direction
What is a scalar?
A scalar is a quantity that has only magnitude
Give examples of scalar quantities
Distance Length Speed Time Energy Power Pressure
Give examples of vector quantities
Momentum Impulse Displacement Velocity Acceleration Force Moments
What is the equation for resolving a vector horizontally?
A=Hcos(angle)
What is the equation for resolving a vector vertically?
O=Hsin(angle)
What is the definition of equilibrium?
Equilibrium is when all the forces acting on a body are balanced in each direction
When is a body in equilibrium?
There is no resultant force
Acceleration = 0
The motion of the body is unchanged
The body has a constant velocity
What is the equation used to resolve the vertical component of weight in inclined planes?
F = mgcos(angle)
What is the equation used to resolve the horizontal component of weight in inclined planes?
F=mgsin(angle)
What is a moment?
A moment of a force about any point is defined as the force * perpendicular distance from the line of action of the force to the point
What is the equation for calculating moments?
Moment = force * perpendicular distance
What are the units for moments?
Nm
What is the principle of moments?
If a body is acted upon by more than one force and it is in equilibrium, then the turning effects of the force must equal to zero
What is equation for calculating non-perpendicular moments?
Moment = Fcos(90-angle) * perpendicular distance
What is mass?
Mass is the quantity of matter which a body contains
What is inertia?
Inertia is an object’s resistance to change in velocity
What happens to inertia as mass is increased?
As mass increases, inertia increases
What is weight?
Weight is the force experienced by a mass due to a gravitational field
What is the equation for calculating the weight of an object?
W=mg
What is the centre of mass?
The centre of mass of an object is the single point that you can consider its whole weight to act through
Where is the centre of mass of a uniform, regular solid?
In the middle
How can you find the centre of mass of an object?
- Use symmetry
- Hang the object freely from a point. Draw a vertical line downwards from the point of suspension(use a plumb bo to get the line exactly vertical). Hang the object from a different point and draw a vertical line down. The centre of mass is where the two line cross.
What factors affect the stability of an object?
The centre of mass
Base area of the object
What is a stable equilibrium?
The object can be released from equilibrium and it will return to its equilibrium position
What is an unstable equilibrium?
The object when released from equilibrium, it moves away from its equilibrium position
What is a neutral equilibrium?
The centre of gravity of the system is always at the same level and it remains in equilibrium after it has been displaced
When will an object tilt?
When the line of action is outside the base area because there is a resultant moment that provides a turning force
When will an object be most stable?
When it has a low centre of mass and a wide base area
What is the equation to calculate the max force that can be applied to an object before it tilts?
Force * height = weight*(base area/2)
What is the equation for calculating the max angle of an object on a slope before it topples?
tan(angle) = (base area/2)/height
What is speed?
How fast an object is moving, regardless of the direction
What is displacement?
How far an object travels from its starting point in a given direction