Intepreting graphs

• Given a graph of two interacting masses (x1(t) and x2(t) vs t) tell in words how each mass started out, and what happened between them during the time of the graph
• Given several graphs of x vs. t, identify regions of positive, negative, and zero acceleration

1-D Kinematics (x,v,a)

• calculate average velocity over a decreasing time interval
• calculate average acceleration over a decreasing time interval
• graph of v and a vs. t for a ball thrown vertically
• An ad talks about a student athlete who can hang in the air for 2.5 sec and understand why.
• Comment on good and bad 'hang times' for punts.
• A speed trap is set up based on time and distance. Draw three graphs corresponding to a speeder being i)above the speed limit, ii)below the limit, iii)at the speed limit when passing the second point in the speed trap.

2-D Kinematics (projectiles, etc.)

• ball launched to travel between two specified points
• balls thrown to collide in midair
• two connected arms rotating ('teacup' amusement park ride)

Circular Motion

• An object travels along a circle, but not at constant speed.
  Draw in its velocity and acceleration vector at various points.
• A mass suspended from the ceiling by a light string travels in a circular path.
  List all the forces acting on the mass, in order of decreasing magnitude, giving the direction of each force.
• Describe the trajectory of a ball thrown in a rotating space station from one person toward another.

Newton's Laws in 1-D

• Stationary skier is pushed by friend; find skier's acceleration
• Wagon is propelled by a constant force, but is losing mass; calculate its acceleration
• Ball thrown vertically, graph position and velocity.
• Heavy mass suspended by a thread. Pull on thread below to break either upper or lower thread.
• grapefruit falling under air resistance
• ping pong ball with air resistance
• mass hanging from spring
• plot v vs. t for air drag linear in velocity; verify and interpret solution
• policeman and speeder

Newton's Laws in 2-D

• mass and spring on an incline
• mass and spring on incline with friction
• wheel and crank
• monkey and hunter student exercise w/ parametric plots

Work, Dot Product

• Forces are applied to a mass; say if the net work done on the mass is positive, negative or zero.
• dot product - which one is greatest, which one is least (qualitative comparison)?

Work and Energy

• In moving a stationary book from the floor and setting it on a table, a person does work.
  But the book's KE does not change. Does this violate the work-KE theorem?
• Where is an earthquake's energy stored just before the quake?

Energy

• skateboarder path after leaving ramp
• potential energy, conservative force, closed path
• Energy, force and equilibrium (force and equilibrium pts from given potential energy)

Collisions and Impulse

• Compare forces in a head-on collision between unequal masses
• Impulse of hammer on a plate
• Impulse of a tennis serve
• Impulse given by a fast charged particle to a nearby charge
• Airplane shooting at an enemy is stalled by gun recoil and crashes

Springs and Masses

• What happens to a spring's force constant if it is cut in half?
• For springs of different stiffness, which does more work when they are stretched equally?
• A car's bumper is connecected to the body by a spring. The body can stand 5.5 g's without crumpling. Will the design survive a 5-mph crash test? Is it a good design?
• Mass and spring on an incline
• Mass and spring on an incline with friction
• mass hanging vertically, supported by a spring
• frequency response of a mass-spring system
• why does an air cart collision take the same time at different speeds?
• collision of two masses via a spring (dsolve, odeplot)

Rotation, Gravitation, Miscellaneous

• moment of inertia of a long rod calculated by taking the rod to be a group of point masses
• Conservative force and potential energy
• Gravitational force by a long cylindrical rod
• Calculate torques on segments of a rod and see if this equals the torque calculated as if all the mass were at the CM of the rod (excel ss)
• Ditto but do the calculation in Maple
• Meter stick is kicked off-center. Describe its motion along the floor in the absence of friction.
• time for a stud wall to fall over