A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector7 = (2.00 m) î - (3.00 m) ĵ + (2.00 m) k, the force is É = Fxî + (7.00 N)ĵ - (6.00 N) k, and the corresponding torque about the originis 7 = (4.00 N-m) î + (8.00 N-m)ĵ + (8.00 N-m) Ê. Determine Fx.NumberiUnits

Answered: Image /qna-images/answer/05cef266-e36b-4cc2-b5c6-15793ea413e9.jpg

A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector 7 (2.00 m) î - (3.00 m)ĵ + (2.00 m) k, the force is F = Fxî + (7.00 N)ĵ - (6.00 N) Ê, and the corresponding torque about the origin is 7 = (4.00 N-m) î + (8.00 N-m) ĵ + (8.00 N-m) Ê. Determine F,x.

A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector 7 (2.00 m) î - (3.00 m)ĵ + (2.00 m) k, the force is F = Fxî + (7.00 N)ĵ - (6.00 N) Ê, and the corresponding torque about the origin is 7 = (4.00 N-m) î + (8.00 N-m) ĵ + (8.00 N-m) Ê. Determine F,x.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section13.6: Angular Momentum

Problem 13.2CE: Figure 13.24 shows a particle with momentum p. Using the coordinate systems shown, determine the...

See similar textbooks

Similar questions

If the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75
A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (Sec Fig. P11.29.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring, (a) What angular momentum does the space station acquirer (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N?
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.
A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?
A horizontal disk with moment of inertia I1 rotates with angular speed 1 about a vertical frictionless axle. A second horizontal disk having moment of inertia I2 drops onto the first, initially not rotating but sharing the same axis as the first disk. Because their surfaces are rough, the two disks eventually reach the same angular speed . The ratio /l is equal to (a) I1/I2 (b) I2/I1 (c) I1/( I1 + I2) (d) I2/( I1 + I2)
A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73
In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?
Can you assign an angular momentum to a particle without first defining a reference point?
If the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?