Question
2) (50 Points) A collar C is loosely slipped onto an angled rod. The rod is...
2) (50 Points) A collar C is loosely slipped onto an angled rod. The rod is spinning at a constant ang speed such that the collar is moving on a horizontal plane. The coefficient of friction static fricti between the rod and the collar is j = 0.25. If the collar has a weight of 0.125 lb, determine: a) The minimum angular speed of the rod so that the collar does not slide down the rod b) The maximum angular speed of the rod so that the collar does not slide up the rod 6 in 30°
Answers
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GIVEN M = 0.25 g= 386 in/sec h K my? CO 30° a) FBD R / 30° mu² R- Normal reaction Я - Sin30° mg sin 300 my? + 300 f force of mg mg mg cos 30 Pristian am merR= cos 30 + mv? Sin 30° co mg sin 30° By equilibrium of forces mg mi 0.25 / mg cos 30 + mu? dinso) + main + mu? Sep 30 g sim 30° - 1–2 x 9 cas 30° vecco cos 30° - Lin 300 109.43 = v? x .07044 V = 39.4144 in sec i = 7.585 rad sec 307 e vith CamScannerb) me FBD diagram will have only minas change as body tends to mow up, it will act im down card direction 300 ) sin cos 30° + mv² Sin r +0.95 sin 30° mg 0.25 mg tin cors mv'cos 30° CO 30° &in 30 A 2007 Ig sim30 + 1 x 9 cos x 9 CO 30°= v*[.com 2 76.57 = VPX 0.07044 v=62. 66 in/sec 62.66 12.06 radlec CS Scanned with Cams O ner 313
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