Force F(8.55 N )î - (9.95 N )kacts on a pebble with position vector T(6.87 m – (2.53 m )k, relative to the%Dorigin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates ( 8.02 m, O, - 6.52 m)?

Answered: Image /qna-images/answer/12efb5f7-5ac1-47fa-87a7-f5dc4847ac36.jpg

Force F = (8.55 N )î – (9.95 N )k acts on a pebble with position vector T = (6.87 m )ĵ – (2.53 m )k, relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates ( 8.02 m, 0, - 6.52 m)?

Force F = (8.55 N )î – (9.95 N )k acts on a pebble with position vector T = (6.87 m )ĵ – (2.53 m )k, relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates ( 8.02 m, 0, - 6.52 m)?

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

Needs Complete typed solution with 100 % accuracy.
A torque of 36.2 Nm is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.5 rad/s. After 5.80 s the directed force is removed, and the wheel comes to rest 59.8 s later. (e) What is the wheel's moment of inertia (in kg-m²) 22.073 ✓kg-m² (b) What is the magnitude of the torque caused by friction (in N-m)? 0 xN.m JOR TEACHER (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? 7403 X revolutions
Three forces are acting on a bar of length 3.5 m. ?1has a magnitude of 11 N and acts on the end of the bar at an angle of 21°. ?2 has a magnitude of 21 N and acts in the middle of the bar. ?3 acts perpendicularly at a distance ?=0.15m. Relative to the left end, what is the torque due to (a) ?1 and (b) ?2? (c)What should the magnitude of ?3 be in order for the bar to not rotate? [Answer: (a)14N * m; (b)37 N*m; (c)337 N].
ssa In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -4.30 m, 3.14 m) due to (a) force F with components Fx= 3.18 N and F1y= F1z= 0, and (b) force F 2 with components F2x = 0, F2y = 4.53 N, F22 = 5.74 N? (a) Number i k Units (b) Number i k Units eTextbook and Media Save for Later Attempts: 0 of 8 used Submit Answer Qu Friday tv DII 80 888 esc FB F9 F4 F5 F6 F7 F2 F3
At one instant, force: F = 5.14j N acts on a 0.297 kg object that has position vector 7 = (5.10î – 5.10k) m and velocity vector = (- 9.56i + 9.56k ) m/s .About the origin and in unit-vector notation, what are (a) the object's angular momentum and (b) the torque acting on the object? (a) Number k Units (b) Number k Units +
A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector r→ = (2.00 m) î - (3.00 m) ĵ + (2.00 m) k̂, the force is F→ = Fx î + (7.00 N) ĵ - (6.00 N) k̂, and the corresponding torque about the origin is τ→ = (4.00 N·m) î + (6.00 N·m) ĵ + (5.00 N·m) k̂. Determine Fx.
Force F = (8.55 N )î – (9.95 N )ê acts on a pebble with position vector T (6.87 m )ĵ – (2.53 m )k, relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (8.02 m, 0, - 6.52 m)?
1 Force F = (7.26 N )i^— (7.05 N )ê acts on a pebble with position vector ☞ = (5.76 m )j^– (3.10 m), relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (5.00 m, 0, -5.54 m)? - Your answer is partially correct. (a) Number www (b) Number Hint eTextbook and Media Save for Later -40.608 52 -40.608 80 F3 Q F4 + + JUL 2 i 22.51 9 F5 -18.26 tv MacBook Air C F6 + ← F7 -41.817 -41.82 ST DII F8 k Units N-m Attempts: 2 of 4 used A kUnits F9 N-m Submit Answer A F10 + # F11
In the figure, a constant horizontal force F→app of magnitude 31.0 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 17.5 kg, its radius is 0.656 m, and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the acceleration of the center of mass of the cylinder? (b) What is the magnitude of the angular acceleration of the cylinder about the center of mass? (c) In unit-vector notation, what is the frictional force acting on the cylinder?
Force F = (-7.0 N)î + (5.0 N) ĵ acts on a particle with position vector7 = (4.0 m)î + (5.0 m) ĵ. (a) What is the torque on the particle about the origin, in unit-vector notation? = N: m (b) What is the angle between the directions of r and Torque is the cross product of a position vector (extending from a chosen point, here the origin, to the particle) and a force vector. Did you take the cross product in unit-vector notation? Do you remember how find the angle between two vectors by taking a dot product in both unit-vector notation and also in magnitude-angle notation? (You can similarly use a cross product to do this.) Do you remember how to find the magnitude of a vector from its components?
In the figure, a 0.400 kg ball is shot directly upward at initial speed 51.9 m/s. What is the magnitude of its angular momentum about P, 6.03 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the magnitude of the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? Ball (a) Number Units (b) Number Units (c) Number Units (d) Number Units
Force F = (5.58 N)î – (6.71 N )k acts on a pebble with position vector 7 = (2.79 m ) – (7.59 m ) k, relative to the origin. - What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (3.43 m, 0, -3.30 m)? (a) Number i i k Units (b) Number i i i k Units