Angle at which an object slips on an incline (5-5)

Question 1 of 2

Question

Coefficient of static friction for an object at rest on a surface

{"title":"Coefficient of static friction for an object at rest on a surface","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"1,15,37,66\"}]"} {"title":"Angle of the surface at which the object begins to slip","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"204,6,234,57\"}]"}

Review

The greater the angle $\theta_{\mathrm{slip}}$ beyond which the box begins to slide, the greater the value of tan $\theta_{\mathrm{slip}}$ and hence the greater the coefficient of static friction must be to provide the necessary friction force. Note that Equation 5-5 does $\textit{not}$ involve the weight of the block. A plastic block on a wooden ramp will begin to slide at the same angle $\theta$ regardless of its weight.