The drawing shows a baggage carousel at an airport. Your suitcasehas not slid al

Question

The drawing shows a baggage carousel at an airport. Your suitcasehas not slid all the way down the slope and is going around at aconstant speed on a circle (r = 10.4 m) as the carousel turns. The coefficient ofstatic friction between the suitcase and the carousel is 0.760, andthe angle in the drawing is 33.0°. How much time is required for your suitcaseto go around once?

Explanation / Answer

Equating upward and down ward forces along the incline and no horizontal forces are involved we get         mgsin33 +mr2cos33 = [mgcos33 -mr2sin33] here r =10.4m and = 0.76               ==> = [ g (cos33 - sin33) / r (cos33+sin33) ]                           = [ 9.8 ( 0.76 cos33 - sin33) / 10.4*(cos33+sin33) ]                           = ............ rad/s   (solve for ) The time period T = 2 /                             = ..............s   (here substitute value of andsolve for T )

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.