Page 217 - Fisika Terapan for Engineers and Scientists

Summary 417

SUMMARY

PROBLEM-SOLVING TECHNIQUES Torques and Rotational Motion (page 405)

PROBLEM-SOLVING TECHNIQUES Conservation of Angular Momentum (page 410)

PHYSICS IN PRACTICE The Gyrocompass (page 414)

TORQUE
t FR sin u (13.3)
where is the angle between the force F and
the radial line of length R. u
R F

moment
arm

WORK DONE BY TORQUE
W t df (13.4)

WORK DONE BY A CONSTANT TORQUE W t¢f (13.5)

POWER DELIVERED BY TORQUE where is P t (13.6)
the angular velocity.

CONSERVATION OF ENERGY IN ROTATIONAL MOTION 1 2
E I
U [constant] (13.10)
2
EQUATION OF ROTATIONAL MOTION (Fixed axis) I t (13.19)
where I is the moment of inertia and is the angular
acceleration.

ANGULAR MOMENTUM OF ROTATION L I
z (13.26)

m m
r r

CONSERVATION OF ANGULAR MOMENTUM I
[constant] (13.29)

ANGULAR MOMENTUM OF PARTICLE (In circular orbit) L mvr (13.34)

ANGULAR MOMENTUM VECTOR L r p z (13.37)
L

p
O r
y
x