Concept explainers
An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.00 kg with String 1 of length (ℓ = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length ℓ = 0.500 m. During the motion, the two strings are collinear at all times as shown in Figure P6.30. At the top of its motion, m2 is traveling at v = 4.00 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster?
Figure P6.30
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics
Additional Science Textbook Solutions
Fundamentals of Physics Extended
Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 1 (3rd Edition)
University Physics Volume 2
College Physics (10th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
- An object of mass m₁ = 4.00 kg is tied to an object of mass m₂ = 2.70 kg with String 1 of length { = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length { = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m₂ is traveling at v = 6.50 m/s. m₁ String 1 mq String 2 (a) What is the tension in String 1 at this instant? N (b) What is the tension in String 2 at this instant? N Need Help? (c) Which string will break first if the combination is rotated faster and faster? string 1 string 2 Read It Watch Itarrow_forwardA 50-lb sphere A with a radius of 4.5 in. is moving with a velocity of magnitude v0 = 6 ft/s. Sphere A strikes a 4.6-lb sphere B that has a radius of 2 in., is hanging from an inextensible cord, and is initially at rest. Knowing that sphere B swings to a maximum height of h= 0.75 ft, determine the coefficient of restitution between the two spheres.arrow_forwardAn object of mass m₁ = 4.00 kg is tied to an object of mass m₂ = 3.00 kg with String 1 of length L = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length L = 0.500 m. During the motion, the two strings are collinear at all times. At the top of its motion, m₂ is traveling at v = 4.00 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster?arrow_forward
- An object of mass m1= 4.00kg is tied to an object of mass m2= 3.00kg with string 1 of length l=0.500m. The combination is swung in a vertical circular path to a second string, string-2, of length l = 0.500m. During the motion, the two strings are collinear at all times as shown in the figure above. At the top of the motion, m2 has a speed v = 4.00ms-1. (a). Draw an FBD and label all the forces in the usual way. (b). What is the tension in string-1 at the top of the motion? (c). What is the tension in string-2 at the top of the motion? (d). Which string breaks first as the system is rotated faster and faster?arrow_forwardHanging from the ceiling over a baby bed, well out of baby’s reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled θ describe the angle formed by the the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal labeled φ. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment. a)Write an expression for T1 in terms of m, g, and θ b). Write an expression for T2 in terms of m, g, and θ . c) Write an expression for T3 in terms of m, g, and θ .arrow_forwardHanging from the ceiling over a baby bed, well out of baby’s reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled θ describe the angle formed by the the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal labeled φ. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment. What is T3 in terms of m, g, and θ?arrow_forward
- An object of mass mi = 4.00 kg is tied to an object of mass m2 = 3.80 kg with String 1 of length (= 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length (= 0.500 m. During the motion, the two strings are collinear (always form a straight line) at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.70 m/s. String 1 e String 2 a) both masses take the same amount of time to complete one circle). What is the velocity of mi at the top of its motion? (hint: b) Draw a free body diagram for both mı and m2. c) What is the tension in String 1 at the top of the motion?arrow_forwardA rod with length L and mass M hangs vertically on a frictionless, horizontal axel passing through its center. A ball of mass m traveling horizontally at speed v0 hits and sticks to the very bottom tip of the rod. To what maximum angle, measured from vertical, does the rod, with the attached ball, rotate? Answer in terms m, M, v0, L, and g.arrow_forwardAn object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.00 kg with String 1 of length ℓ = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length ℓ = 0.500 m. During the motion, the two strings are collinear at all times as shown. At the top of its motion,m2 is traveling at υ = 4.00 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster?arrow_forward
- what is the answer?!arrow_forwardAn object of mass m1= 4.00kg is tied to an object of mass m2= 3.00kg with string-1 of length l=0.500m. The combination is swung in a vertical circular path to a second string, string-2, of length l = 0.500m. During the motion, the two strings are collinear at all times as shown in the figure above. At the top of the motion, m2 has a speed v = 4.00ms-1. Which string breaks first as the system is rotated faster and faster?arrow_forwardA conical pendulum consists of a mass of 0.5 kg attached at one end of a sting. The other end is fixed. As the mass moves in a circular path of radius 0.7 m, the string traces out the surface of a cone. What is the angle that the string makes with the ceiling?arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning