Chapter 8: Rotational Motion (from Lecture Slide) Flashcards
When an object turns about an internal axis, it is undergoing
Circular motion or rotation
Circular motion is characterized by two kinds of speeds
1) Tangential (linear) speed
2) Rotational (angular) speed
Rotational speed is
The number of rotations or revolutions per unit of time
All parts of a rigid turntable turn about the axis of rotation in
The same amount of time
All points have the same
Angular/rotational speed
Tangential speed
The linear speed of something moving along a circular path
At different radii, the tangential speeds
Can be vary
Rotational inertia
The property of an object to resist changes in its rotational state of motion
An object rotating about an axis tends to remain rotating about
The same axis at the same rotational speed unless interfered with by some external influence
Bodies that are rotating tend to remain what?
Rotating
Non-rotating bodies tends to remain what?
Non-rotating
Like linear rotation, rotational inertia depends on
Mass: Distribution of the mass about the axis of rotation
The greater the distance between an object’s mass concentration and the axis
The greater the rotational inertia
The greater the rotational inertia of an object
The greater the difficulty in changing its rotational state
Much of the mass of the pole is far from
The axis of rotation (its midpoint)
- Depends upon the axis around which it rotates
a. Easier: to rotate around an axis passing through it (mass is evenly distributed around axis)
- Depends upon the axis around which it rotates
b. Harder: to rotate it around vertical axis passing through center (half of its mass is distributed on both sides of the axis)
- Depends upon the axis around which it rotates
c. Hardest: to rotate it around vertical axis passing through the end (all mass is on one side of the axis)
Torque is
The rotational counterpart of force
Force tends to
Change the motion of things
Torque depends upon three factors:
1) Magnitude of the force
2) The direction in which the force acts
3) The point at which the force is applied on the object
Torque (like rotational inertia) involves distance from the rotational axis. This distance is called the
Lever arm
The tendency of a force to cause rotation is called
Torque
Lever arm is less than
Length of handle because of direction of force
Lever arm is equal to
Length of handle
Lever arm is longer than
Length of handle
If the force is applied in the same direction as the perpendicular distance or at the axis of rotation, which force produces no torque?
It does not rotating anything
If the seesaw doesn’t rotate, does that mean that there’s no torque?
Like Newton 1st law, you can still have force but have zero net force
Similarly, you can still have torques, produces but having what?
Zero net torque
Center of mass
The average position of all the mass that makes up the object