The Batmobile needs to make a quick turn around the corner. In order to do so, Batman fires a grappling hook with a cable at a light post in the road causing the Batmobile to move in a circle of radius 15 m at constant speed. There is friction between the tires and the road. Assume the tires roll without slipping around the turn but they are at the verge of slipping. (Hint: That means the max static friction force is acting on the tires.) That friction force from the tires points towards the center of the circle. Assume the cable if parallel to the ground (that is, the tension force from the cable points directly toward the center of the circle). The Batmobile is traveling at a constant speed through the circle at a rate of 15 m/s. The tension in the cable is found to be 30,000 N. The mass of the Batmobile is 3175 kg. The radius of the turn is 20 m. a. Draw a free-body diagram for the Batmobile during the circular turn. b. Write down the net force equations in the r direction. c. Write down the net force equations in the y direction. d. determine the coefficient of static friction between the tires and the road.
The Batmobile needs to make a quick turn around the corner. In order to do so, Batman fires a grappling hook with a cable at a light post in the road causing the Batmobile to move in a circle of radius 15 m at constant speed. There is friction between the tires and the road. Assume the tires roll without slipping around the turn but they are at the verge of slipping. (Hint: That means the max static friction force is acting on the tires.) That friction force from the tires points towards the center of the circle. Assume the cable if parallel to the ground (that is, the tension force from the cable points directly toward the center of the circle). The Batmobile is traveling at a constant speed through the circle at a rate of 15 m/s. The tension in the cable is found to be 30,000 N. The mass of the Batmobile is 3175 kg. The radius of the turn is 20 m.
a. Draw a free-body diagram for the Batmobile during the circular turn.
b. Write down the net force equations in the r direction.
c. Write down the net force equations in the y direction.
d. determine the coefficient of static friction between the tires and the road.
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