Ask questions and get helpful answers.

In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the overhead view of the figure. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 227 N, and Charles pulls with force of magnitude 175 N. Note that the direction of Charles' force is not given. What is the magnitude of Betty's force?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
3 answers
  1. HELP ME !!!!!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. ΣFx= -F(A) •cos47 +F(C)cosφ=0
    ΣFy= F(A) •sin47 +F(C) sinφ –F(B) =0

    -227•0.68 +175•cosφ=0
    227•0.73 +175•sinφ –F(B) = 0

    154.36 =175•cosφ
    cosφ=154.36/175 = 0.88
    φ= 28.36°
    sin28.36°=0.47.

    166 +175•sinφ –F(B) = 0
    F(B) =166 +175•sinφ=
    =166 +175•0.47 = 249 N

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 142°). The tire remains stationary in spite of the three pulls. Alex pulls with force Upper F Overscript right-arrow EndScripts Subscript Upper A of magnitude 219 N, and Charles pulls with force Upper F Overscript right-arrow EndScripts Subscript Upper C of magnitude 187 N. Note that the direction of Upper F Overscript right-arrow EndScripts Subscript Upper C is not given. What is the magnitude of Betty's force Upper F Overscript right-arrow EndScripts Subscript Upper B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. math

    An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of

  2. Physics

    The four tires of an automobile are inflated to an absolute pressure of 2.0*10^5 Pa. Each tire has an area of 0.024m^2 in contact with the ground. Determine the weight of the automobile. Pressure*area= force. There are four tires.

  3. physics

    A locomotive pulls a series of wagons. Which is the correct analysis of the situation? A. because action always equals the reaction,the locomotive cannot pull the wagons,-the wagons pull backward just as hard as the locomotive pulls forward, so there is no

  4. physics

    In a tug-of-war between two athletes, each pulls on the rope with a force of 270 N. What is the tension in the rope? ______ N If the rope does not move, what horizontal force does each athlete exert against the ground? ______ N is the first on 250 and is

  5. Chemistry

    An automobile tire has a maximum rating of 38.0 psi (gauge pressure). The tire is inflated (while cold) to a volume of 11.8 Liters and a gauge pressure of 36.0 psi at a temperature of 12.0 Celsius. While driving on a hot day, the tire warms to 65.0 Celsius

  6. math

    Tierra, Nico, and Alex had $865 altogether. Tierra spent 2/5 of her money. Nico spent $40,and Alex spent twice as much as Tierra. If the three had the same amount of money left, how much money did alex have in the begging?

  7. science**

    Which of the following would act as the best insulator of electric current? 1- water. 2- a tree. 3- a copper wire. 4- an automobile tire. 5- a human.

  8. Math

    The diameter of a tire is 2.5 ft. What is the circumference of the tire? About how many times will thee tire have to rotate to travel in 1 mile? 5280 ft. A. 5 ft? B. 1,056ft???

  9. Social STUDIES

    which of the following statements about World War 1 would be most difficult to prove and disprove a. American casualties were more numerous than in any other war. b. it was the first war in which the opposing sides used airplanes c. the U.S government

  10. English

    Read the sentences. Alex was surprised by Sholeh’s visit. He was happy, though. They had a great conversation. Which sentence correctly combines these three sentences? A)Alex was surprised by Sholeh’s visit; but he was happy, they had a great

Still need help?

You can ask a new question or browse existing questions.