Determine the angular momentum H, of the 5-kg particle about point O. 3 kg oA \6m/s 2 m _ 2 m 1.5 m 2 m 1.5 m 1m 3 m B are 3 m
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- A disk of M = 5kg, radius R = 3m is rotating %3D %3D counterclockwise about its center with an angular speed of wi = 3rad/s. 1m and mass 2 kg is %3D a) A thin hoop of radius R dropped on the disk so that it lands on the disk's surface and they share a center the angular speed of the pair %D after the collision? b) find the angular speed of the system if the hoop lands by the edge of the disk, so that the edge of the hoop is 0.5 m away from the center of the disk Overhead view a) b) 0.5mIf initial angular velocity is 0 deg/s (w;), which of the following situations would result in the greatest final angular velocity (w;)? (T = torque applied; Dt-time that torque is applied; I = moment of inertia) OT-50 Nm t = 2s 1 = 1 kgm^2 T= 50 Nm t = 4s 1 = 2 kgm^2 OT-100 Nm ?t=1s 1 = 2 kgm^2 OT-100 Nm ?t=2s 1 = 1 kgm^2 - 2 | M 16 46 6 Y & 7 18 U * 8 hp fg ( 9 ho ▶11 O fm P 112 74° +The end state of our sun will most likely be a white dwarf star. It would have about one fourth of its current mass and a radius about two percent of its current radius. The Sun today takes 30 days to rotate once about its internal spin axis. This is equivalent to an angular speed of 2.42 x 10-6 rad/s. Its moment of inertia today can be approximated as 3.86 x 1047 kg m². Its final angular speed will be 2.42 x 10-2 rad/s. What would its' final moment of inertia be? Select one: a. b. 1.52 x 10-55 kg m² OC. 6.59 x 1054 kg m² 3.86 x 1051 kg m² 3.86 x 1043 kg m² d.
- 3 z, 0 = -1.5z. 13-99. A car of a roller coaster travels along a track which for a short distance is defined by a conical spiral, r = where r and z are in meters and 0 in radians. If the angular motion 0 = 1 rad/s is always maintained, determine the r, 0, z components of reaction exerted on the car by the track at the instant z=6 m. The car and passengers have a total mass of 200 kg. Prob. 13-99A 1.10-kg particle moves in the xy plane with a velocity of Need Help? Read It = (3.70 1-3.70 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î+ 2.20 ĵ) m. k) kg - m²/s Watch ItA 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 A
- 5) A disk of mass m = 75.0 g and radius r = 4.20 cm glides across an air table at a speed v = 1.5 m/s. It makes a glancing collision with a hoop of radius R = 5.80 cm and mass M = 130 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the two objects stick together and rotate after the collision. a) What is the angular momentum of the system relative to the center of mass? b) What is the angular speed about the center of mass?When the Sun runs out of nuclear fuel it will collapse into a white dwarf. The present radius of the Sun is R, and the mass is M,. The angular velocity of the Sun is wo. After the Sun collapses into a white dwarf, the radius is R/108. What is the rotational energy of the Sun after it collapses? Assume the Sun loses no mass. - MRw? 5(108“) MRw? 5(108) - MRw? 5(1082) O 1084 - MRw? 108 108° - M Rw? 5A 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)
- Show that the kinetic energy of an object rotating about a fixed axis with angular momentum L = Iω can be written as K = L2/2IA 9.93 kg particle with velocity ?→=(9.25m/s)?̂ −(6.52m/s)?̂v→=(9.25m/s)î-(6.52m/s)ĵ is at x = 9.15 m, y = 6.63 m. It is pulled by a 9.15 N force in the negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing?A disk of mass 35 kg and radius 23 cm is rotating with an angular speed of 77 rad/s about its central axis. What would be its angular speed if its radius suddenly doubled without changing its mass? (in rad/s O 15.25 O 58.75 O 22.65 O 19.25 O 24.85