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How do you find the minimum coefficient of static friction for a mass on an incline of 32 degrees?
CCwhodey
The equation for friction is F=uN.
F (friction), u (coefficient of friction), and N (normal).
So you first need to solve for the normal by using Newton's second law. Also solve for the x component of the gravity force. Since it is static friction, you know it should be at rest, so that x component force should be the same as the force of friction. Knowing that and the normal, plug it into the equation and solve for u.
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∙ 9y ago
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A solid homogenous sphere rolls without slipping down a plane that makes an angle of 30 degree with the horizontal find the linear acceleration of the sphere and the minimum coefficient of friction?
The linear acceleration of the sphere down the incline can be calculated using the formula (a = g \sin(\theta)), where (g) is the acceleration due to gravity (9.8 m/s(^2)) and (\theta) is the angle of the incline. Substituting the values, we get (a = 9.8 \times \sin(30) = 4.9 , \text{m/s}^2). The minimum coefficient of friction required to prevent slipping can be calculated using the formula (\mu_{\text{min}} = \tan(\theta)), where (\mu_{\text{min}}) is the minimum coefficient of static friction. Substituting the values, we get (\mu_{\text{min}} = \tan(30) \approx 0.577).
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