6/47 A block of mass mo is placed between the vertical wall and the upper end A of the uniform slender bar of mass m. If the coefficient of static friction is µg be- tween the block and the wall and also between the block and the bar, determine a general expression for the minimum value 0min Oof the angle 0 for which the block will remain in equilibrium. Evaluate your expression for the conditions µ = 0.5 and %3D т (a) mo 0.1, m (b) mo 1, and m (c) mo 10. %3D For each case, state the minimum coefficient of sta- tic friction (u)B necessary to prevent slippage at B. Ans. (a) 0min = 61.2°, (µ,)B = 1.667 (unusual!) (b) 0min = 45°, (µ)B = 0.667 (c) 0min = 10.30°, (µ,)B = 0.0952 %3D %3D %3D %3D %3D mo m (Ha)B Problem 6/47
6/47 A block of mass mo is placed between the vertical wall and the upper end A of the uniform slender bar of mass m. If the coefficient of static friction is µg be- tween the block and the wall and also between the block and the bar, determine a general expression for the minimum value 0min Oof the angle 0 for which the block will remain in equilibrium. Evaluate your expression for the conditions µ = 0.5 and %3D т (a) mo 0.1, m (b) mo 1, and m (c) mo 10. %3D For each case, state the minimum coefficient of sta- tic friction (u)B necessary to prevent slippage at B. Ans. (a) 0min = 61.2°, (µ,)B = 1.667 (unusual!) (b) 0min = 45°, (µ)B = 0.667 (c) 0min = 10.30°, (µ,)B = 0.0952 %3D %3D %3D %3D %3D mo m (Ha)B Problem 6/47
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:6/47 A block of mass mo is placed between the vertical
wall and the upper end A of the uniform slender bar
of mass m. If the coefficient of static friction is µg be-
tween the block and the wall and also between the
block and the bar, determine a general expression
for the minimum value 0min Oof the angle 0 for which
the block will remain in equilibrium. Evaluate your
expression for the conditions µ = 0.5 and
%3D
т
(a)
mo
0.1,
m
(b)
mo
1, and
m
(c)
mo
10.
%3D
For each case, state the minimum coefficient of sta-
tic friction (u)B necessary to prevent slippage at B.
Ans. (a) 0min = 61.2°, (µ,)B = 1.667 (unusual!)
(b) 0min = 45°, (µ)B = 0.667
(c) 0min = 10.30°, (µ,)B = 0.0952
%3D
%3D
%3D
%3D
%3D
mo
m
(Ha)B
Problem 6/47
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