Question

A block is at rest. The coefficients of static and kinetic friction are s = 0.81 and k = 0.69, respectively. The acceleration of gravity is 9.8 m/s^2. Required: a. What is the largest angle which the incline can have so that the mass does not slide down the incline? b. What is the acceleration of the block down the incline if the angle of the incline is 44°?

          A block is at rest. The coefficients of static and kinetic friction are s = 0.81 and k = 0.69, respectively. The acceleration of gravity is 9.8 m/s^2.
Required:
a. What is the largest angle which the incline can have so that the mass does not slide down the incline?
b. What is the acceleration of the block down the incline if the angle of the incline is 44°?
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A block is at rest. The coefficients of static and kinetic friction are s = 0.81 and k = 0.69, respectively. The acceleration of gravity is 9.8 m/s^2. Required: a. What is the largest angle which the incline can have so that the mass does not slide down the incline? b. What is the acceleration of the block down the incline if the angle of the incline is 44°?
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A block is at rest. The coefficients of static and kinetic friction are s = 0.81 and k = 0.69, respectively. The acceleration of gravity is 9.8 m/s^2. Required: a. What is the largest angle which the incline can have so that the mass does not slide down the incline? b. What is the acceleration of the block down the incline if the angle of the incline is 44°?

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Transcript

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00:01 Hello, here we have to solve the following problem.
00:03 Co -efficient of static friction is 0 .81 and coefficient of kinetic friction is 0 .69.
00:12 Acceleration due to the gravity is 9 .8 meters per square second.
00:17 And in question a, we have to find the maximum angle of the incline, with which the box will not slide.
00:25 Let's sketch the forces.
00:29 Gravity is downwards.
00:32 Normal reaction is up.
00:33 And static friction force is up.
00:37 Let's show the x's y and x.
00:46 And here, static friction force is mg sine theta, which is coefficient of static friction force, mg cosine theta.
01:00 Therefore, this coefficient of static friction force is tangent theta and thereby theta is a tangent of coefficient of static friction...
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