
Every body in the universe _______ every other body with a mutually attracting force. For two bodies, this force is ______ proportional to the product of their masses and ______ proportional to the square of the distance separating them. State the formula
 attracts
 directly
 inversely

The greater m1 and m2 is the _____ the force between them. The greater the distance of separation r, the ______ the force of attraction (for planets, this would be the distance between their ______)

For a satellite orbit around a planet, the object is the _______. Net force on the satellite is the centripetal force and is due to _______ force
State the formulas for:
Net force
Velocity
Period
 satellite
 gravitational force


Define torque
It is the rotational equivalent of ______. It is the cause of changes in ______ motion and is analogous to _____.
 Torque: T, is the tendency of a force to rotate an object about some axis
 force
 rotational
 force

Translational motion is to force as Rotational motion is to ______
torque

The applied force can act at an angle Φ with respect to the position vector, r.
What is the formula for:
Force when it is parallel vs perpendicular to the radial line.
Torque (state the units)

The ability of a force to cause a rotation depends on which 3 factors?
 1) The magnitude F of the force
 2) The distance r from the pivot (the axis about which the object can rotate) to the point at which the force is applied
 3) The angle Φ at which the force is applied

The angle Φ is measured from the _______ line (define) to the direction of the _______
 radial line: the line starting at the pivot and extending through the point at which the force is applied
 force

Torque is defined only when a _______ axis is specified, from which the distance r is determined. Define the moment arm and state the formula for both moment arm and how it can be incorporated to find torque
 reference axis



Using the right rule, if the turning tendency of the force is counterclockwise, the torque will be ______. If the turning tendency is clockwise the torque will be _______.

Torque depends on the force and where it is applied. Label the diagram by stating how much force will be applied


Since position r and torque T are vectors and magnitude of torque is T = _______. How do we define the T (cross product)

Given any two vectors, the vector product is a third vector:
What is the magnitude of the vector:


Two right hand rules to determine the direction of cross product

What does a rigid object in equilibrium mean for its net external force and external torque

For each of the following scenarios state whether the particle is at equilibrium:
1) Net force on a particle is zero
2) Both the net force and the net torque are zero
3)The net force is still zero, but the net torque is not zero
 1) The particle is in static equilibrium
 2) The block is in static equilibrium
 3) The block is not in equilibrium

Problem solving strategy: Rigid object in Equilibrium (5story)

The net torque on an object in static equilibrium is zero when calculated about any _____ ______
pivot point

*assume frictionless because "smooth"

An extended object has a base of support on which it rests when in ______ _______. If you tilt the object, one edge of the base of support becomes a ______ ______
 static equilibrium
 pivot point

For an object to balance, its center of gravity must reside over its base of support. That way gravity does not exert a ______. Label the diagram
 torque

Why cant you stand on tiptoes if your toes are against a wall?
Center of gravity has to be over toes (the base of support) to balance. That requires shifting your body slightly forward. But you can't shift your body forward if your toes are against the wall

When is the critical angle θ_{c} reached?
What is the formula?
What general rule does this lead to as it pertains to improving stability?





Define the moment of inertia
Similar to the role mass plays in translational motion. What are two things the moment of inertia depends on
What is the formula for moment of inertia (also state its units)
 The moment of inertia: a measure of an object's resistance to change in its angular speed

Which will have the smaller moment of inertia and which will have the larger moment of inertia

Given the object and axis with a picture, state the formula for Inertia

Define I_{CM}
Incorporate this into a formula for net I
 I_{CM}: moment of inertia with rotation of axis through center of mass
 I = I_{CM} + MD^{2}, moment of inertia with rotation of axis parallel to the axis through center of mass and a distance D from center of mass

State the rotational dynamics equivalent for these:

Problem solving strategy: Rotational dynamics (6story)

If the pulley turns without the rope slipping on it, then the rope's speed must exactly match which speed?
If the pulley has an angular acceleration, the rope's acceleration must match the _______ ________ of the rim of the pulley?
*State both as a formulas after answering
 the speed of the rim of the pulley
 v_{rope} = v_{rim} = ωR
 tangential acceleration
 α_{rope} = α_{t} = αR



