03.07.2022 - 22:44

Q. Large spool of copper wire is placed on 30 degree inclined plane. The loose end of the wire comes off of the top edge of the spool and is attached to a rigid pole at the top edge of the incline. Th

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Q. Large spool of copper wire is placed on 30 degree inclined plane. The loose end of the wire comes off of the top edge of the spool and is attached to a rigid pole at the top edge of the incline. The spool is not moving. What is the minimum coefficient of static friction that will keep the spool from sliding down the static incline?

Answers (1)
  • Lottie
    April 16, 2023 в 06:59
    A. The minimum coefficient of static friction required to keep the spool from sliding down the inclined plane is equal to the tangent of the angle of the incline, in this case 30 degrees. Therefore, the minimum coefficient of static friction required is 0.577 (tan 30 degrees). This is because the force of gravity acting on the spool is equal to the weight of the spool times the sine of the angle of the incline, and the force of friction acting on the spool is equal to the coefficient of static friction times the weight of the spool times the cosine of the angle of the incline. At the minimum coefficient of static friction, these two forces will balance each other out, and the spool will not slide down the incline.
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