The beam AB has a negligible mass and thickness and is subjected to a force of 200 N. It is supported at one end by a pin and at the other end by a spool having a mass of 40 kg. If a cable is wrapped around the inner core of the spool, determine the minimum cable force P needed to move the spool. The coefficients of static friction at B and D arc μB = 0.4 and μp = 0.2, respectively. A 2 m Hint: Start by assuming B will slip, but D won't, then check if you are correct. 1990 = 200 N 1 m 1 m B 0.3 m P 0.1 m

Structural Analysis
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Chapter2: Loads On Structures
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The beam AB has a negligible mass and thickness and is
subjected to a force of 200 N. It is supported at one end by a
pin and at the other end by a spool having a mass of 40 kg.
If a cable is wrapped around the inner core of the spool,
determine the minimum cable force P needed to move the
spool. The coefficients of static friction at B and D arc
μB = 0.4 and μp = 0.2, respectively.
A
2 m
Hint: Start by assuming B will slip, but D won't, then check if you are correct.
1990 =
200 N
1 m
1 m
B
0.3 m
P
0.1 m
Transcribed Image Text:The beam AB has a negligible mass and thickness and is subjected to a force of 200 N. It is supported at one end by a pin and at the other end by a spool having a mass of 40 kg. If a cable is wrapped around the inner core of the spool, determine the minimum cable force P needed to move the spool. The coefficients of static friction at B and D arc μB = 0.4 and μp = 0.2, respectively. A 2 m Hint: Start by assuming B will slip, but D won't, then check if you are correct. 1990 = 200 N 1 m 1 m B 0.3 m P 0.1 m
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