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?
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?
Solution Summary: The author analyzes how torque decreases with time, and determines when the tape breaks when pulled from nearly full reel.
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?
One end of a string 1 m long is fixed
and a body of mass 500 grams is tied to the
other end. If breaking tension is 98 N, find the
maximum angular velocity of the body that the
string can withstand when rotated in
horizontal circle.
A nail is struck in the tread of a tire with radius r=0.17 m. It is held in with maximum frictional force f=0.55 n. The nail has a mass of m=11g. (A) what is the tire treads lowest tangential speed, in meters per second, at which the nail will pull free from the tire? Assume the tire is spinning vertically but not in contact with the lead. (B) at what tangential speed, in meters per second, will the nail pull free when it is at the top of the tire?
A standard clothes hanger makes a pretty good equal arm balance. With nothing on it, the hanger hangs free with the bottom side horizontal.
(A) while hanging normally, where is the axis of rotation for this equal arm balance located? With respect to the axis, where is the center mass located?
(B) if you tip the hanger with your finger then release it, it swings back and forth until friction stops it in a horizontal position. Use the concept of torque to explain why the hanger starts to swing when you release it.
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