Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
An Atwood’s machine consists
of blocks of masses m1 =10.0 kg
and m2 = 20.0 kg attached by a cord
running over a pulley as in Figure
P8.46. The pulley is a solid cylinder
with mass M = 8.00 kg and radius
r = 0.200 m. The block of mass m2 is
allowed to drop, and the cord turns
the pulley without slipping. (a) Why
must the tension T2 be greater than
the tension T1? (b) What is the acceleration
of the system, assuming the
pulley axis is frictionless? (c) Find the
tensions T1 and T2.
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