A ball of mass m = 1.04kg has its position as a function of time given by F(t) = (5m + 1.97m cos (1.05 t)) + (6.17t) j^+ (1.6t²) k (The input below will accept answers with no more than 1% variation from the correct value.) What is the particle's angular momentum around the origin at t = 1.48s? L (1.48s) = kg¹i4 kg™j+ kg k
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- A net torque is acting on the two particles shown in the figure for two seconds. Given the information below: (a) Calculate the magnitude and direction of the net angular momentum of particles A and B about the origin point O. (b) Then find the net torque acting this system about point O. mĄ = 6.2 kg тв 3D 3.1 kg VA = 1.2 m/s %3D Vв 3D 2.6 т/s ri = 1.5 m r2 = = 2.7 m VB AA planet is at a position of r→=3.0×10^12mx̂ − 4.0×10^12mŷ as it moves in an elliptical orbit around a large star at the origin (x=0, y=0). If the planet has a mass of 6.0 ×1026 kg and is moving with a velocity of v→=9.5km/sx̂, what is its angular momentum vector? (give magnitude and direction)Please help me
- The angular momentum of a sphere is given by , ?=(―4.59?^3)? + (6.01―1.19?^2)? + (6.26?)? where L has units of kg·m2/s when t is in seconds. What is the net torque on the sphere as a function of time?A particle is at a position (x, y, z) = (1.0, 2.0, 3.0) m. It is traveling with a velocity vector (-5.0, +2.8, -3.1) m/s. Its mass is 3.8 kg. What is its vector angular momentum about the origin? [x,y,z, are i,j,k]An object of mass 2.75 kg is moving with a velocity v = (3.8of – 5.10k) m/s. What is the angular momentum of the mass relative to the origin when it is at the location (1.50, -1.50, 1.50) m? (Express your answer in vrector form )
- A student performed an experiment to prove the angular momentum conservation experiment using a rotating disk experiment. In this experiment a disk of mass =1kg and radius 1m was rotated initially at a speed of 40rot/s. While it was rotating, an identical disk was dropped on the top. By using conservation of angular momentum find the rotation speed of the combined system. Hint: Rotational Inertia of the disk of mass m and radius r is I=(1/2)mr2. Conservation of angular momentum,I1w1=I2w2 where I1 is the initial inertia of the disk and w1=40rot/s,I2=2I1.Solve for w2Please refernece attachment. See image for more information.A particle P with mass 8 kg has position vector r (r = 3.0 m) and velocity v (v = 30.0 m/s) as shown in the figure. It is acted on by force F (F = 4.0 N). All three vectors lie in the xy plane. About the origin, what is the z-component of the angular momentum of the particle? About the origin, what is the z-component of the torque acting on the particle?
- The figure shows a device that can be used to measure the speed of a bullet. The device consists of two rotating disks, separated by a distance of d = 0.872 m, and rotating with an angular speed of 101 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.268 rad. From these data, determine the speed of the bullet. Number IN Bullet Units MotorIn the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed w = 0.55 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? M (a) /= i (b) L₂ = i (c) Ltot 0 m