Kinematics & Dynamics
Basics
do a Newton's second law computation
force m=150g, a=50cm/s^2
compute momentum
momentum m=12kg, v=30m/s
compute impulse
F=5 Newtons, t=8 seconds
compute rolling motion
rolling motion, v=3m/s, omega=40 rad/s
find equations of particle motion
free particle
Motion on an Inclined Plane
compute motion of a block on an inclined plane
a 2.1kg block slides down an inclined plane
compute motion of a round object on an inclined plane
ball on incline for 10 seconds
hollow cylinder slides and rolls down a gradient of 0.3, muk=0.3
find the Hamiltonian of a system
inclined plane Hamiltonian
Work
compute mechanical work
mechanical work calculator
work F=30N, d=100m
work at constant acceleration
specify an angle between force and displacement
mechanical work, 30 degrees
work, F=3N, d=6m, theta=25 degrees
compute rotational work
rotational work
work, tau=9N m, theta=5 degrees
do a gravitation calculation
gravitation calculation
find equations associated with the two-body problem
two-body problem
compute time to fall
time to fall 1000ft
compute work done against gravity
work against gravity, height = 2 meters
Rocket Motion
analyze motion of a rocket
classical rocket equation
Collisions
analyze an elastic collision in one dimension
elastic collision m1=3kg, v1i=4m/s, m2=2kg, v2i=-1m/s
analyze an elastic collision in two dimensions
2d elastic collision, theta=40deg
Circular Motion
compute torque
3m, 1N, torque?
compute centripetal acceleration
centripetal acceleration, 30mph, 500 ft
compute the Coriolis acceleration in a rotating frame of reference
Coriolis effect 5mph 30rpm
analyze a harmonic oscillator
damped harmonic oscillator with forcing
analyze motion of a spring pendulum
spring pendulum l0=0.12m, li=0.24m, thetai=80deg
compute a Doppler shift