Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 234 Weeks Ago, 4 Days Ago |
Questions Answered: | 12843 |
Tutorials Posted: | 12834 |
MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
Two objects one solid sphere and one hoop ; of the same mass (M=0.5 kg ) and the same radius (R= 0.2 m) are released from the top of an hill at height H=1.0 meters
Â
a)Â Â Â Â Can you predict which one of the two object will arrive to the bottom of incline first? Explain your answer.
Â
Â
Â
Â
b)Â Â Â Â Find the velocities of the two objects at the bottom of the incline to prove your answer in part a? Show complete solution.
Â
Â
Â
Â
Â
Â
Formulas you need for the problem:Â
Rotational inertia for a hoop    I = MR2 ,  Rotational inertia for a solid sphere     I = 2/5 MR2
V= R ω ,  U = M g H, E= U + K , Conservation of mechanical energy  Ei = Ef
Rolling Kinetic energy is the sum of Kinetic energy for translation (k=1/2 M V2 ) and Kinetic energy for rotation (K=1/2 I ω2 )
-----------