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A uniform beam of mass $$m$$ is inclined at an angle $$\theta$$ to the horizontal. Its upper end (point $$P$$) produces a $$90^o$$ bend in a very rough tied to a wall, and its lower end rests on a rough floor Figure $$P12.51$$. Let $$\mu_s$$ represent the coefficient of static friction between beam and floor. Assume $$\mu_s$$ is less than the cotangent of $$\theta$$.
Determine
The magnitude of the reaction force at the floor
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Q1
A uniform beam of mass $$m$$ is inclined at an angle $$\theta$$ to the horizontal. Its upper end (point $$P$$) produces a $$90^o$$ bend in a very rough tied to a wall, and its lower end rests on a rough floor Figure $$P12.51$$. Let $$\mu_s$$ represent the coefficient of static friction between beam and floor. Assume $$\mu_s$$ is less than the cotangent of $$\theta$$.
Determine
The magnitude of the reaction force at the floor
Determine
The magnitude of the reaction force at the floor
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Q2
A uniform beam of mass $$m$$ is inclined at an angle $$\theta$$ to the horizontal. Its upper end (point $$P$$) produces a $$90^o$$ bend in a very rough tied to a wall, and its lower end rests on a rough floor Figure $$P12.51$$. Let $$\mu_s$$ represent the coefficient of static friction between beam and floor. Assume $$\mu_s$$ is less than the cotangent of $$\theta$$.
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Q3
A uniform beam of length $$L$$ and mass $$m$$ shown in figure $$P12.16$$ is inclined at an angle $$\theta $$ to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is $$\mu_s$$, Assume the angle $$\theta $$ is such that the static friction force is at its maximum value.
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Q4
A uniform beam of length $$L$$ and mass $$m$$ shown in figure $$P12.16$$ is inclined at an angle $$\theta $$ to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is $$\mu_s$$, Assume the angle $$\theta $$ is such that the static friction force is at its maximum value.
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Q5
A uniform beam of length $$L$$ and mass $$m$$ shown in figure $$P12.16$$ is inclined at an angle $$\theta $$ to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is $$\mu_s$$, Assume the angle $$\theta $$ is such that the static friction force is at its maximum value.
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