2. A uniform ring of mass m and radius R is pivoted about a point on its rim. A small object of the same mass m is glued to the rim of the ring. The ring is released from rest with the small object at the end of a horizontal radius, what is the angular acceleration at the instant of release? What is the angular velocity when the small object is directly below the pivot point? How would your answers be different if the ring were a disk? piv at Small object
2. A uniform ring of mass m and radius R is pivoted about a point on its rim. A small object of the same mass m is glued to the rim of the ring. The ring is released from rest with the small object at the end of a horizontal radius, what is the angular acceleration at the instant of release? What is the angular velocity when the small object is directly below the pivot point? How would your answers be different if the ring were a disk? piv at Small object
2. A uniform ring of mass m and radius R is pivoted about a point on its rim. A small object of the same mass m is glued to the rim of the ring. The ring is released from rest with the small object at the end of a horizontal radius, what is the angular acceleration at the instant of release? What is the angular velocity when the small object is directly below the pivot point? How would your answers be different if the ring were a disk? piv at Small object
A uniform ring of mass m and radius R is pivoted about a point on its rim. A small object of the same mass m is glued to the rim of the ring. The ring is released from rest with the small object at the end of a horizontal radius, what is the angular acceleration at the instant of release? What is the angular velocity when the small object is directly below the pivot point? How would your answers be different if the ring were a disk?
Transcribed Image Text:2. A uniform ring of mass m and radius R is pivoted about a point on its rim. A small object of the same
mass m is glued to the rim of the ring. The ring is released from rest with the small object at the end of
a horizontal radius, what is the angular acceleration at the instant of release? What is the angular
velocity when the small object is directly below the pivot point? How would your answers be different if
the ring were a disk?
piv at
or Small object
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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