The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 11.2 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760, and the angle in the drawing is 37.0°. How much time is required for your suitcase to go around once?

  1. 👍
  2. 👎
  3. 👁
  1. The trick t this problem is to realize that the suitcase iss ON THE VERGE OF slipping.

    The static coefficient of friction detremines the maximum possible friction force wthout slipping. The actual force can be much less.

    Based upon the observation that the suitcase slipped part way down but not all the way down the sloped carousel, you can infer that the friction force is the maximum value, which in this case is M g cos 37 * mus. The net inward horizontal force equals the centripetal force. Both friction and gravity contribute to the inward force.

    M g cos^2 37 mus + M g sin 37 = M V^2/R

    "mus" is the static coefficient of friction

    I had to square the cosine term because the friction force does not act directly inward.

    Cancel the M's, and solve for V. Then get the time T for one trip around the carousel from V T 2 pi R

    1. 👍
    2. 👎
  2. 21.6 seconds

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trig

    A carousel with a 50-foot diameter makes 4 revolutions per minute. a) Find the angular speed of the carousel in radians per minute. b) Find the linear speed in feet per minute of the platform rim of the carousel.

  2. physics

    Starting from rest, a 10kg suitcase slides down a 3.00m long ramp inclined at 30 degrees from the floor. The coefficient of friction between the suitcase and the ramp is 0.35. 1) what net force is applied to the suitcase while it

  3. Physics- Someone Please Help!!!

    A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of 21.0° with the horizontal. A 37.0


    The Kit carson county carousel makes 3 revs per minute. a. Find the linear velocity in feet per second of someone riding a horse that is 22 1/2 feet from the center. Answer- I got 7.1 ft/s... b. The linear velocity of the person

  1. Physics

    A luggage handler pulls a 20kg suitcase up a ramp inclined at 25 degrees above the horizontal by a force F of magnigutde 145N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is

  2. Physics

    At the airport, you pull a 15kg suitcase across the floor with a strap that is at an angle of 45 degrees above the horizontal. Find the normal force and the tension in the strap if the suitcase is pulled at a constant speed and

  3. Trigonometry

    A plane leaves airport A and travels 560 miles to airport B at a bearing of N32E. The plane leaves airport B and travels to airport C 320 miles away at a bearing of S72E. Find the distance from airport A to airport C.

  4. Physics

    A woman at an airport is towing her 20.0 kg suitcase at constant speed by pulling on a strap at an angle θ above the horizontal. She pulls on the strap with a 35.0 N force, and the friction force on the suitcase is 20.0 N. a)

  1. Physics

    Starting from rest, a 10.0 Kg suitcase slides down a 3.00m long ramp inclined at 30.0 degrees from the floor. The coefficient of friction between the suitcase and ramp is .35. A: what net force is applied to suitcase while it is

  2. physics

    An amusement park carousel travels at a speed of 8.0 m/s. If the circular track of the carousel has a radius of 10.3 m, how many seconds will it take for the carousel to make one complete revolution?

  3. science/physics

    A woman at an airport is pulling her 19.0 kg by a strap at an angle of 32 ° above the horizontal as shown in figure Fig. P5.44. She pulls on the strap with a 40.0 N force, and friction is negligible. (a) What is the acceleration

  4. Physics

    The horse on a carousel is 3.6 m from the central axis. If the carousel rotates at 0.15 rev/s, how fast is a child on the horse moving in m/s?

You can view more similar questions or ask a new question.