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- Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg , m4=0.40kg . The velocities of the particles are . (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the tour-particle system about the origin?A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?
- Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of 6 in. Express your answer in lbm ft2, lbm in², and slugs ft2. (Assume the shaft rotates about an axis through its center and parallel to its length.) 2 in lbm ft² lbm. ft² in lbm - in² lbm. in² in slugs - ft² slugs . ft²An 8.0-cm diameter hard disk spinning at 7200 rpm can stop in 19 revolutions. a) What is the magnitude of the angular acceleration? Express your answer in radians per second squared. b) How long does it take the disk to come to a halt? Express your answer with the appropriate units.A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in (Figure 1). The pulley is a uniform disk with mass 11.0 kgkg and radius 35.0 cmcm and turns on frictionless bearings. You measure that the stone travels a distance 12.4 mmduring a time interval of 4.00 ss starting from rest. A.Find the mass of the stone. Express your answer with the appropriate units. B.Find the tension in the wire. Express your answer with the appropriate units PLEASEEEEE ANSWER ALL
- Two forces of magnitude 90 N, as shown in the figure below, act on a cylinder (I = 1/2 MR") of radius 5 m and mass 6.25 kg. The cylinder, which is initially at rest, sits on a frictionless surface. What is the angular velocity of the cylinder in rad/s after I second? Write your answer with ONE decimal place. F Your Answer: AnswerDetermine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s. Find the x-component. Express your answer using two significant figures. Lx = ΜΕ ΑΣΦ Submit Request Answer ▼ Part B Find the y-component. Express your answer using two significant figures. Ly= ΜΕ ΑΣΦ Submit Request Answer Part C Find the z-component. Express your answer using two significant figures. ? kg-m²/s ? kg-m²/s33.6% Resources Lx Give Up? O Hint Consider the objects labeled A, B, C, and D shown in the figure. 米上 C D Each object is composed of identical thin sticks of uniformly distributed mass 9.15 kg and length 0.489 m. What are the moments of inertia IA, IB, Ic, and Ip of the objects about a rotation axis perpendicular to the screen and passing through the black dot displayed on each object? IA = kg-m² IB = kg-m2 Ic = kg-m? Ip = kg-m? about us privacy policy terms of use careers contact us help
- The wheel has radius R = 60 cm and is free to rotate without friction about a central axle. A force F = 15N is applied to the wheel as shown, at distance r = 20 cm. R from the axle. = 50° a. What is the magnitude of the torque corresponding to the force F, calculated about the axle? b. What is the direction of the torque vector? With the wheel starting from rest, this torque is applied constantly. After three revolutions, its final angular speed is wf = 8.0 s-1. What was its angular acceleration a? C. d. What is the moment of inertia of the wheel? e. Assuming the wheel to be a uniform solid disk, what is its mass? f. Bonus What is the final angular momentum of the wheel?Two big bugs, Buzz and Crunchy each of mass 0.65 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 3 m and it rotates once every 1.2 s. What is the magnitude of the net force on Buzz, in Newtons? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Current Attempt in Progress Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (2.00d, 2.00d, 2.00d), has mass 4.00ma, and particle C, at coordinates (-3.00d, 2.00d, -3.00d), has mass 4.00mA. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.20 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero? %3D (a) Number i Units (b) Number Units (c) Number Units > >