Two balls are tied together via string and then swung in a vertical circular path using a second string, as shown in the figure. During this motion, the two strings are co-linear at all times. The first ball has mass m1 = 0.4 kg, and the second has m2 = 0.2 kg. Each of the two strings has an individual length l = 36 cm. At the top of its swing, m2 is traveling at v = 3.0 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? (i.e. which tension will grow too large?) String 1 e String 2

Two balls are tied together via string and then swung in a vertical circular path using a second string, as shown in the figure. During this motion, the two strings are co-linear at all times. The first ball has mass m1 = 0.4 kg, and the second has m2 = 0.2 kg. Each of the two strings has an individual length l = 36 cm. At the top of its swing, m2 is traveling at v = 3.0 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? (i.e. which tension will grow too large?) String 1 e String 2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

2. A conical pendulum consists of a 0.50 kg ball attached to a string with a length of 75.0 cm. The ball travels at a constant speed in a circle, while the string makes an angle of 32° with the vertical. What is the speed of the ball? I 324
2. A conical pendulum consists of a 0.50 kg ball attached to a string with a length of 75.0 cm. The ball travels at a constant speed in a circle, while the string makes an angle of 32° with the vertical. What is the speed of the ball? F 32 J
A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum is m. With rope horizontal θ = 90o When it makes an angle of degrees, we first leave the object at no speed. Any friction can be neglected. Gravitational acceleration g. Give your answers in terms of l, m and g. Pendulum to the lowest point (= 0o ) What is the speed when it arrives?
97 K/s ll O &e 7:23 ۱۰۳۹ من ۱۰۶۰ PROBLEMS 77 will jump outward. We expect the bifurcation point, the point where the equation significance. As we shall see in Example 3.10, w= Vg/l is the oscilla- tion frequency, in radians per second, of a simple pendulum of length I. If the rotation frequency is less than this value, the pendulum can hang vertically. (It could also swing back and forth, executing pendulum mo- tion.) However, for a rotation frequency higher than the pendulum fre- quency, the pendulum will fly outward, unless it is precisely vertical. Can you see why this is so? motion suddenly has two solutions, has some special The moral of this example is that it is important to check that a mathe- matical solution makes good physical sense. Problems For problems marked *, refer so page 520 for a hint, clue, or answer. 2.1 Time-dependent force* A S-kg mass moves under the influence of a force F (4ri-3j)N, where t is the time in seconds (1 N = 1 newton). It starts at rest from the…
A light, rigid rod is 77.0 cm long. Its top end is pivoted on a frictionless, horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speedat the bottom is required to make the ball go over the top of the circle? Answer : 5.49 m/s
A 200 kg mass hangs from a 300 m cable on Mars (g=3.71 m/s2). It is displaced left from equilibrium along an arc with length 30 m and released at t = 0. What is its position relative to equilibrium when t = 20 s? What is its acceleration?
Now the astronaut lays Spring A horizontally on a table in the station on the moon. She ties one end of a string to Block X and the other to one end of Spring A. She holds the other end of Spring A motionless in her hand. With her other hand she throws Block X horizontally at a speed of 1.13 m/s. After it pulls the string tight, Block X stretches Spring A until Block X stops. Then it comes back, but the astronaut is only interested in the maximum distance the spring stretched. She records that distance which is 5.08 cm. She later repeated this experiment in the lab in Orlando. Block X moved horizontally at the same speed (1.13 m/s) while attached to a string tied to Spring A. Assume the motion of the block was completely horizontal and all sources of friction were negligible. What was the maximum distance that the spring stretched in Orlando? cm Submit 7) The astronaut then weighed a third block, Block Z, on the moon. She found that it weighed 0.198 newtons. What would be the weight of…
An amusement park ride spins its rider in a circle with a radius of 2.0 m. Determine the minimum frequency of rotation of the circle that would keep the rider from falling if the friction coefficient between the rider and the wall is 0.68. Express your answer in units of Hz (cycles per second). Use g=10 N/kg. Hint: The required friction force is the weight of the person. The normal force of the wall on the rider causes the friction.
i. An 26 g rifle bullet traveling at 270 m/s buries itself in a 5.4 kg pendulum hanging on a 2 m long string, which makes he pendulum swing upward in an arc. Determine the maximum vertical displacement of the pendulum (height). (g = 9.8 M/s^2
A Stone Age hunter stands on a cliff overlooking a flat plain. He places a 1.0 kg rock in a sling, ties the sling to a 1.0-m-long vine, then swings the rock in a horizontal circle around his head. The plane of the motion is 25 m above the plain below. The tension in the vine increases as the rock goes faster and faster. Suddenly, just as the tension reaches 200 N, the vine snaps. If the rock is moving toward the cliff at this instant, how far out on the plain (from the base of the cliff) will it land?
please answer this question within 30 minutes. i will upvote. Spherical particles of radius 4.50 x10-6 m are suspended in water and placed in a centrifuge. This centrifuge has a radius of 13.0 cm and spins at 255 Hz. If the terminal velocity of the particles is 2.00 m/s, what is their density? Answer in kg/m3 but do not include units in your answer.
A disk of mass m = 0.140 kg is attached to a lightweight, taut string which keeps it in circular motion, as shown in the figure below. The disk slides on a horizontal table with negligible friction at speed v = 80.0 cm/s, and the radius of its circular path is r. = 36.0 cm. The string passes a small hole in the table and is initially held in place. The string is then slowly pulled downward a distance of 12.0 cm. How much work (in J) is done on the disk? O Need Help? L Read it