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# Equilibrium: Uniform plank rests against a frictionless roller: coefficient of static friction

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A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height h = 3.05 m. The plank remains in equilibrium for any value of theta greater than or equal to 70 degress but slips if theta is less than 70 degrees. Find the coefficient of static friction between the plank and the ground.

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Problem:

A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height
h = 3.05 m. The plank remains in equilibrium for any value of theta greater than or equal to 70 degress but slips if theta is less than 70 degrees. Find the coefficient of static friction between the plank and the ground

In this figure we will take L= 6.10 in place of 20 ft and h = 3.05 m in place of 10ft

Solution:

First, the Earth's gravity acts on the plank and pulls it down with a ...

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
The text passage describes a physics problem involving a uniform plank resting against a frictionless roller. It asks to find the coefficient of static friction between the plank and the ground for a specific angle of equilibrium.
single_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# Equilibrium: Uniform plank rests against a frictionless roller: coefficient of static friction

Not what you're looking for?

A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height h = 3.05 m. The plank remains in equilibrium for any value of theta greater than or equal to 70 degress but slips if theta is less than 70 degrees. Find the coefficient of static friction between the plank and the ground.

##### Solution Summary

With diagrams and good explanation, the step by step solution explains the problem.

##### Solution Preview

Problem:

A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height
h = 3.05 m. The plank remains in equilibrium for any value of theta greater than or equal to 70 degress but slips if theta is less than 70 degrees. Find the coefficient of static friction between the plank and the ground

In this figure we will take L= 6.10 in place of 20 ft and h = 3.05 m in place of 10ft

Solution:

First, the Earth's gravity acts on the plank and pulls it down with a ...

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
user
The text passage describes a physics problem involving a uniform plank resting against a frictionless roller. It asks to find the coefficient of static friction between the plank and the ground for a specific angle of equilibrium.

TYPE: SINGLE_QUESTION