Particle 3 Particle 4 A is tied to a string and whirled in a vertical circle at a radius. Which of the following cannot be true? The string is most likely to break at the bottom of the circle. The tension force is the same everywhere in the circle. The tension force and the weight of the stone always affect the centripetal force. The tension is the least when the stone is at the top of the circle. Free Response Determine the minimum angle at which a frictionless road should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 200.0 m. Determine the velocity that a car should have while traveling around a frictionless curve of radius 100m and that is banked 20 degrees. If the road in number 2 was not frictionless, which way would the frictional force point if the car exceeded this velocity? Which way would it point if the car went slower than this velocity? A curve with a radius of 50 m is banked at an angle of 25˚. The coefficient of static friction between the tires and the roadway is 0.3. Find the correct speed of an automobile that does not require any friction force to prevent skidding. What is the maximum the automobile can have before sliding up the banking? What is the minimum speed the automobile can have before sliding down the banking? A ball of mass M attached to a string of length L moves in a circle in a vertical plane as shown above. At the top of the circular path, the tension in the string is twice the weight of the ball. At the bottom, the ball just clears the ground. Air resistance is negligible. Express all answers in terms of M, L, and g. Determine the magnitude and direction of the net force on the ball when it is at the top. Determine the speed vo of the ball at the top. After a few circles, the string breaks when the ball is at the highest point. Determine the time it takes the ball to reach the ground. Determine the horizontal distance the ball travels before hitting the ground.
Particle 3 Particle 4 A is tied to a string and whirled in a vertical circle at a radius. Which of the following cannot be true? The string is most likely to break at the bottom of the circle. The tension force is the same everywhere in the circle. The tension force and the weight of the stone always affect the centripetal force. The tension is the least when the stone is at the top of the circle. Free Response Determine the minimum angle at which a frictionless road should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 200.0 m. Determine the velocity that a car should have while traveling around a frictionless curve of radius 100m and that is banked 20 degrees. If the road in number 2 was not frictionless, which way would the frictional force point if the car exceeded this velocity? Which way would it point if the car went slower than this velocity? A curve with a radius of 50 m is banked at an angle of 25˚. The coefficient of static friction between the tires and the roadway is 0.3. Find the correct speed of an automobile that does not require any friction force to prevent skidding. What is the maximum the automobile can have before sliding up the banking? What is the minimum speed the automobile can have before sliding down the banking? A ball of mass M attached to a string of length L moves in a circle in a vertical plane as shown above. At the top of the circular path, the tension in the string is twice the weight of the ball. At the bottom, the ball just clears the ground. Air resistance is negligible. Express all answers in terms of M, L, and g. Determine the magnitude and direction of the net force on the ball when it is at the top. Determine the speed vo of the ball at the top. After a few circles, the string breaks when the ball is at the highest point. Determine the time it takes the ball to reach the ground. Determine the horizontal distance the ball travels before hitting the ground.
ap-phys1_ap1-circular-motion-practice-problems_2015-10-10.docx