f an object is to rest on an incline without slipping, then friction must equal the component of the weight parallel to the incline. This requires greater and greater friction for steeper slopes.   What would the equation for the max angle of an incline above the horizontal for which an object will not slide down?   theta = ?

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”