Consider the friction coefficient between the two parts. If it slid perfectly, ie. both were made of greased teflon, then at 30 degrees half would be in the cor

Consider the friction coefficient between the two parts. If it slid perfectly, ie. both were made of greased teflon, then at 30 degrees half would be in the correct direction - sin30° = 0.5 However adding friction makes it much worse. Unlubricated steel on steel is really bad.