Three point masses are held in place by massless rods. The system lies on a horizontal plane and rotates about the point O at 6.0 rev/min. If m1 = m2 = m; m3 = 3m; R1 = R2 = R; and R3 = R/3 a) Show that the moment of inertia about O is given by 7/3 mR2. b) If m = 2.0 kg and R = 5.00 m, calculate the rotational kinetic energy of the system in Joules.
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.
Three point masses are held in place by massless rods. The system lies on a horizontal plane and rotates about the point O at 6.0 rev/min.
If m1 = m2 = m;
m3 = 3m;
R1 = R2 = R; and
R3 = R/3
a) Show that the moment of inertia about O is given by 7/3 mR2.
b) If m = 2.0 kg and R = 5.00 m, calculate the rotational kinetic energy of the system in Joules.
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