A uniform rod of length L and mass 2m rests on a smooth horizontal table. A point mass m moving horizontally at right angle to the rod with an initial velocity " collides with one end of the rod and sticks to it. Determine (a) the rotational inertia 1 about the axis passing through the center of mass after the collision, (b) the angular velocity w of the system after the collision,(c) the position of the point on the rod which remains stationary immediately after the collision
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.
A uniform rod of length L and mass 2m rests on a
smooth horizontal table. A point mass m moving horizontally at
right angle to the rod with an initial velocity " collides with one
end of the rod and sticks to it. Determine (a) the rotational inertia
1 about the axis passing through the center of mass after the
collision, (b) the
collision,(c) the position of the point on the rod which remains
stationary immediately after the collision, and (d) the change in
kinetic energy of the system as a whole as a result of the collision.
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