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Krot
½ Iw²
Area under torque - theta curve is…
work done
W can equal..
change in KE rot
Area under sum of torque vs change in time graph is…
Equal to change in L (angular momentum)
L of system =
sum of L on all objects
Angular mom is conserved when…
no external torque is exerted
Angular speed of a non-rigid system may change w/o angular mom of system changing if…
the system changes shape by moving mass closer or further from rot. axis
When describing rolling w/o slipping system
use change in x = rtheta, v = rw, a = ra
Systems w increase in inertia rot have more KE ___ in their…
rotational, KE total
Angular mom of satellite and ME total is constant in…
circular + elliptical orbits
To find the escape velocity of an object from earth…
GPE must equal KE (1/2MV² = GMm/r)
L=mvr for…
coordinate system with object moving perp to radius, perpendicular line joins direction of v to x-axis
Object rolling down frictionless plane has no…
KE rotational
Rolling w slipping means…
Kinetic friction acts on it
Mechanical energy is lost as thermal
PE and KE is not constant in a satellite with an ___ orbit. It is constant with a ____ orbit.
elliptical, circular
Linear momentum of satellites in either orbit are…
not constant! direction constantly changes!!!!