The block weighs 80 pounds. A cable is connected to its upper left corner and passes over a fixed post. The coefficients of friction are μB = 0.3 for the block and the ground and μP = 0.2 for the post and the cable. Determine the minimum force T that will cause the system to move (either tip or slide - you must show which happens first). Take a = 2.5’ and b = 6’.
The block weighs 80 pounds. A cable is connected to its upper left corner and passes over a fixed post. The coefficients of friction are μB = 0.3 for the block and the ground and μP = 0.2 for the post and the cable. Determine the minimum force T that will cause the system to move (either tip or slide - you must show which happens first). Take a = 2.5’ and b = 6’.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
The block weighs 80 pounds. A cable is connected to its
upper left corner and passes over a fixed post. The
coefficients of friction are μB = 0.3 for the block and the
ground and μP = 0.2 for the post and the cable. Determine
the minimum force T that will cause the system to move
(either tip or slide - you must show which happens first).
Take a = 2.5’ and b = 6’.

Transcribed Image Text:In this diagram, a block with dimensions denoted as \(a\) (width) and \(b\) (height) is placed on a flat surface. A rope is attached to the top left corner of the block, exerting a force labeled \(T\). The rope makes a \(60^\circ\) angle with the vertical and a \(30^\circ\) angle with the horizontal.
The diagram can be used to illustrate concepts in physics such as tension in ropes, angle measurement, and vector decomposition of forces. It could serve as an example for solving problems involving static equilibrium and trigonometry, where the aim might be to calculate the tension \(T\) or resolve it into its vertical and horizontal components using trigonometric functions.
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