Is the angle theta equal to the angle that the incline makes with the horizontal line? Why? How was theta solved? What does the symbol theta stand for? When and why was the coefficient of kinetic friction used?

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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Is the angle theta equal to the angle that the incline makes with the horizontal line? Why?

How was theta solved?

What does the symbol theta stand for?

When and why was the coefficient of kinetic friction used?

a. Force P to Start Block Moving Up
800 N
P = (800 N) tan 44.29°
P = 780 N z
tan g, = 4,
= 0.35
800 N
0 = 19.29°
25° + 19.29° = 44.29°-
R
R
25
b. Force P to Keep Block Moving Up
800 N
tan g = HK
P = (800 N) tan 39.04°
P = 649 N z
800 N
= 0.25
O = 14.04°
R
%3D
25° + 14.04° = 39.04°-
R
25°
c. Force P to Prevent Block from Sliding Down
800 N
Ø = 19.29°
25° - 19.29° = 5.71
P = (800 N) tan 5.71°
P = 80.0 N z
800 N R
25 R
Transcribed Image Text:a. Force P to Start Block Moving Up 800 N P = (800 N) tan 44.29° P = 780 N z tan g, = 4, = 0.35 800 N 0 = 19.29° 25° + 19.29° = 44.29°- R R 25 b. Force P to Keep Block Moving Up 800 N tan g = HK P = (800 N) tan 39.04° P = 649 N z 800 N = 0.25 O = 14.04° R %3D 25° + 14.04° = 39.04°- R 25° c. Force P to Prevent Block from Sliding Down 800 N Ø = 19.29° 25° - 19.29° = 5.71 P = (800 N) tan 5.71° P = 80.0 N z 800 N R 25 R
SAMPLE PROBLEM 8.2
25°
A support block is acted upon by two forces as shown. Knowing that the
coefficients of friction between the block and the incline are m, = 0.35 and
m = 0.25, determine the force P required (a) to start the block moving up
the incline, (b) to keep it moving up, (c) to prevent it from sliding down.
800 N
Transcribed Image Text:SAMPLE PROBLEM 8.2 25° A support block is acted upon by two forces as shown. Knowing that the coefficients of friction between the block and the incline are m, = 0.35 and m = 0.25, determine the force P required (a) to start the block moving up the incline, (b) to keep it moving up, (c) to prevent it from sliding down. 800 N
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