Forces
Newton's 2nd Law connects motion with forces.
Successfully applying Newton's second law requires a good grasp on kinematics (to find acceleration) and being able to add vectors (to sum up forces). Free-body diagrams and vector tables are very useful in these problems.
I. Forces and acceleration
For the following situations, draw a free-body diagram, roughly to scale, i.e. draw larger arrows for larger forces. If all forces are equal, then draw the forces with the same length. Indicate the direction of the acceleration, if any.
Mass hangs on a string motionless
Mass moves upward at a constant velocity
The mass slows to a stop as it moves upward
Which force needs to be stronger so that the mass accelerates upward?
Which force needs to be stronger so that the mass accelerates downward?
What can we say about the forces when the acceleration is zero?