121. The angular acceleration of a rotating rigid body is given by a = (2.0-3.0r) rad/s². If the body starts rotating from rest at t=0, (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0° at t = 0 lie at t= 10 s?

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CHALLENGE PROBLEMS
121. The angular acceleration of a rotating rigid body
is given by a = (2.0 – 3.0t) rad/s². If the body starts
rotating from rest at t=0, (a) what is the angular
velocity? (b) Angular position? (c) What angle does it
rotate through in 10 s? (d) Where does the vector
perpendicular to the axis of rotation indicating 0° at t = 0
lie at t = 10 s?
122. Earth's day has increased by 0.002 s in the last
century. If this increase in Earth's period is constant, how
long will it take for Earth to come to rest?
123. A disk of mass m, radius R, and area A has a surface
mass density o = m (see the following figure). What is
AR
the moment of inertia of the disk about an axis through the
center?
Axis of rotation
opposing fore
is not immed
only exert a
a Saturn V
with this forc
Rotation Mar
125. A cord
of radius 0.2
on the cord s
cylinder is
moment of in
theorem to c
after 5.0 m of
is replaced by
of the cylinde
Transcribed Image Text:CHALLENGE PROBLEMS 121. The angular acceleration of a rotating rigid body is given by a = (2.0 – 3.0t) rad/s². If the body starts rotating from rest at t=0, (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0° at t = 0 lie at t = 10 s? 122. Earth's day has increased by 0.002 s in the last century. If this increase in Earth's period is constant, how long will it take for Earth to come to rest? 123. A disk of mass m, radius R, and area A has a surface mass density o = m (see the following figure). What is AR the moment of inertia of the disk about an axis through the center? Axis of rotation opposing fore is not immed only exert a a Saturn V with this forc Rotation Mar 125. A cord of radius 0.2 on the cord s cylinder is moment of in theorem to c after 5.0 m of is replaced by of the cylinde
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