Rotational Equilibrium Flashcards
An object will remain in rotational equilibrium if its center of mass is above the area of support.
An object will remain in rotational equilibrium if its center of mass is above the area of support.
is produced by this turning force and tends to produce rotational acceleration.
TORQUE (Ex. open a door, turn on a water faucet, or tighten a nut with a wrench)
The same torque can be produced by a large force with a short lever arm, or a small force with a long lever arm.
NOTE!!
different force can produce same amounts of torque!!!!!!!!
When do you produce a greater torque? Greater torques are produced when?
Greater torques are produced when both the force and lever arm are large.
If you cannot exert enough torque to turn a stubborn bolt, would more torque be produced if you fastened a length of
rope to the wrench handle as shown?
No, because the lever arm is the same. To increase the lever arm, a better idea would be to use a pipe that extends upward.
What happens when balanced torques act on an object
there is no change in rotation.
Where is the center for an irregularly shaped object, such as a baseball bat, etc
the center of mass is toward the heavier end.
What happens to the center of mass of the fireworks and its rocket before and after the explosion?
the fireworks rocket and its fragments move along the same path before and after the explosion.
The CG of an object may be located where no actual material exists. (JUST A NOTE)
For example: The CG of a ring lies at the geometric center where no matter exists.
The same holds true for a hollow sphere such as a basketball.
CG CAN ALSO BE LOCATED IN THE:
MIDDLE OF A FRISBEE
THE TOP OF AN EMPTY CUP
AND BENEATH THE MIDDLE OF THE CHAIR
THE MIDDLE OF A DONUT
Can an object have more than one CG?
No. A rigid object has one CG.
If it is nonrigid, such as a piece of clay or putty, and is distorted into different shapes,
then its CG may change as its shape is changed. Even then, IT HAS 1 CG FOR ANY GIVEN SHAPE
How is the center of gravity of an everyday
object related to its center of mass?
center of mass and center of gravity is the same which can be used interchangeably
What happens If the center of gravity of an object is above the area of support,
The object will remain upright
What happens if If the CG extends outside the area of support
If the CG extends outside the area of support an unbalanced torque exists, and the object will topple. (this is the rule for toppling)
Where does the person’s center of gravity depend on, is it a fixed place?
No it is not a fixed place, and its CG depends on the body’s orientation (movement)
When the force is perpendicular, the distance from the turning axis to the point of contact is called
Lever arm
What happens to the CG of a cone standing on its point when it topples?
The CG is lowered by any movement.
We say that an object balanced so that any displacement LOWERS ITS CENTER OF MASS, the object will be in?
unstable equilibrium.
We say an object that is balanced so that any displacement RAISES ITS CENTER OF MASS, the object will be in?
stable equilibrium
A cone balances easily on its base but to make it topple, Its CG must be raised or lowered?
its CG must be raised (This means the cone’s potential energy must be increased,
which requires work)
Well, CG AND center of mass can be used interchangeably. what is the difference between the two
The Center of mass is based on the mass of the body. The Center of gravity is based on the weight of the body.
A cone on lying on its side is balanced so that any small movement NEITHER raises nor lowers its center of gravity. The cone is in?
Neutral equilibrium
Is the CG of the table tennis ball higher or lower when anchored to the bottom
The CG is higher when anchored to the bottom
Is the CG of the table tennis ball higher or lower when it is floating in the water
The CG is lower when the ball floats.
What happens to the center of gravity when an object is toppled?
When an object is toppled, the center of gravity of that object is raised, lowered, or unchanged.
