Transcript Motion in a Vertical Circle - LIGO Livingston Observatory

Objectives of this Experience

Solve centripetal acceleration and centripetal
force problems

Show an understanding of centripetal
acceleration of objects in circular motion and be
able to apply Newton’s laws to such problems

Differentiate between angular speed and
tangential speed

Differentiate between angular acceleration and
tangential acceleration.
Objectives of this Experience
(continued)

Discuss and apply Newton’s Law of Universal
Gravitation.

Be able to analyze and apply Newton’s laws to
simple harmonic motion.

Illuminate the relationship between frequency,
period, and harmonics.

Explain quantitatively the conversion between
kinetic and potential energy for things in motion.
Motion in a Vertical Circle
vmin
Fc1 = Fs1 + Fw
Fw
Fs1
(Centripetal Force at top)
Fw = mg
Radius
r
Fs2
Fw
vmax
Vmin = √rg
Critical Velocity
Fc2 = Fs2 – Fw
(Centripetal Force at bottom)