In a tape recorder, the tape is pulled past the read–write headsat a constant speed by the drive mechanism. Consider the reelfrom which the tape is pulled: As the tape is pulled off, theradius of the roll of remaining tape decreases. (a) How doesthe torque on the reel change with time? (b) If the tape mechanismis suddenly turned on so that the tape is quickly pulledwith a large force, is the tape more likely to break when pulledfrom a nearly full reel or from a nearly empty reel?
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
In a tape recorder, the tape is pulled past the read–write heads
at a constant speed by the drive mechanism. Consider the reel
from which the tape is pulled: As the tape is pulled off, the
radius of the roll of remaining tape decreases. (a) How does
the torque on the reel change with time? (b) If the tape mechanism
is suddenly turned on so that the tape is quickly pulled
with a large force, is the tape more likely to break when pulled
from a nearly full reel or from a nearly empty reel?
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