In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -4.30 m, 3.14 m) c with components F1x 3.18 N and F1y F1z=0, and (b) force F 2 with components F2x = 0, F2y = 4.53 N, F22 = 5.74 N?

In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -4.30 m, 3.14 m) c with components F1x 3.18 N and F1y F1z=0, and (b) force F 2 with components F2x = 0, F2y = 4.53 N, F22 = 5.74 N?

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

Related questions

Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

Q: Force F = (5.88 N )î - (6.66 N )k. acts on a pebble with position vector r = = (4.48 m ) – (6.31 m…

Q: A plum is located at coordinates (-4.09 m, 0, 3.54 m). In unit-vector notation, what is the torque…

A: Location of the plum Force Force Force Force

Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

Q: 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,…

Q: What are the directions of the torque present in each system from (a) to (f)? (OB: out of the board,…

Q: A force F =(4.600 N) i^+(−6.300 N) j^ is exerted on a particle located at r=(−5.500 m) i^+(−0.7000…

A: The cross product rules is,

Q: Two men are raising a beam as shown. The magnitude of the tension in the right cord is 1000 N, the…

A: The force is orthogonal to the radius, thus the force will be in counter clockwise direction.Write…

Q: The body in the figure is pivoted at O. Three forces act on it in the directions shown: FA = 15.0 N…

A: Magnitude of force FA = 15N Distance of point A from point O is rA = 5.80m Angle between vector…

Q: A force F =7.2î +2.3k N is applied at the point (3,0,1) m. What is the y component of the torque?

A: To answer the question we will use the formula: Τ→=r→×F→

Q: As a bowling ball radius 14.6 cm rolls down the alley to the right, a frictional force of magnitude…

A: The radius of the bowling ball, Magnitude of the friction force,…

Q: The torque acting is 2000 Nm with an angular acceleration of 2 rad/s?. The moment of inertia of body…

A: Torque acting is 2000 Nm Angular acceleration is 2 rad / sec2.

Q: At the instant of the figure, a 6.90 kg particle P has a position vector i of magnitude 6.00 m and…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Given: F→1= 1.06 k^ N F→2= -7.18 j^ N∴ Net force F→= -7.18j^+…

Q: = (8.55 N )i – (9.95 N Jk acts on a pebble with position vector = (6.87 m )j – m )k, relative to the…

A: Torque τ = r̅ × F̅

Q: By using |t| = Ir| |F| sin 0, find the magnitude of the torque about O produced by each force shown.…

A: using the formula of torque and right hand rule for direction of torque

Q: In unit-vector notation, what is the torque about the origin on a particle located at coordinates…

Q: A particle is located at r = (4.0i+3.5j+6.0k), A force F= (9.0j-4.0k) N acts on it. What is the…

Q: A particle is located at the position vector r = (6.00î + 7.0oj) m and a force exerted on it is…

A: F→ = 4 i ⏜+ 3 j⏜r⏜ = 6 i⏜ + 7 j ⏜

Q: In unit-vector notation, what is the torque about the origin on a particle located at coordinates…

Q: 5. (a) Let a force acting on a body is defined as F = 21 + 3j – 5k and the position vector of a…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Let r=OP=4i. Which is greater (in magnitude): the torque about O when a force F=4i-3k is applied at…

Q: A particle is located at the point with coordinates (0, 2, 4) m, and the force acting on it is F =…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Coordinates of flea = (1 , -3 , 4) m F1→ = -1k^ N F2→ = -4j^ N

Q: The figure below shows forces acting at various points on a metal cylinder. The angles a = 42°…

A: Let the distance from the axis is given by l. Let the Force acting on the cylinder is given by F.…

Q: At one instant, force F = 1.37j N acts on a 0.556 kg object that has position vector - 3.78i 3.78k m…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Given data: F1=6.42 N k^ F2=-4.93 N j^ Net force: F→=-4.93 N j^+6.42 N k^ Position vector:…

Q: A triangular plate is acted on by three forces, as in the figure. Taking the +z- direction to be out…

A: Given, d1 = 2.7 md2 = 1.6 mF1 = 27 NF2 = 47 NF3 = 52 Nθ2 = 57°θ3 = 45° Torque, τ = r×F = rFsinθ, θ…

Q: A small object with mass 3.65 kg moves counterclockwise with constant speed 1.40 rad/s in a circle…

Q: A horizontal plate OAB of a triangular shape is pivoted at point O. Three forces act c the plate as…

A: Answer...

Q: A 9.81 kg particle with velocity = (1.75 m/s )î – (9.01 m/s )j is at x = 2.77 m, y = 6.88 m. It is…

A: Given data- mass of particle m=9.81 kg velocity v→=1.75 m/si^-9.01 m/sj^ position vector r→=2.77…

Q: A circular-shaped object of mass 9 kg has an inner radius of 7 cm and an outer radius of 28 cm.…

A: Mass of object (m) = 9 kg Inner radius (r) = 7 cm = 0.07 m Outer radius (R) = 28 cm = 0.28 m F1 = 13…

Q: At the presentation ceremony, a championship bowler is presented a 1.58-kg trophy which he holds at…

A: (a) Consider the illustration of the problem as shown below: Here, r is the given arm’s length,…

Q: plum is 18cated at coordinatés (-4.0 m, 0.0 m, 8.0 m). In unit-vector notation, what Is the torque…

A: co ordinates = ( -4, 0, 8 ) m

Q: Suppose you exert a force of 170 N tangential to the outer edge of a 1.355-m radius 73-kg grindstone…

A: The torque is

Q: 11.23. A particle is located on the x axis at x = 2.0 m from the origin. A force of 25 N, directed…

A: Given data: The position of the particle is x= 2i m The force acted on the object in vector form is…

Q: A small object with mass 4.30 kg moves counterclockwise with constant speed 1.55 rad/s in a circle…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: As shown, a member is fixed at the origin, point O, and has an applied force F. the tension in the…

Q: Calculate the torque (in N · m) about the z-axis that is out of the page at the origin in the…

A: Given:F1 = 6.0 N, F2 = 4.3 N, F3 = 6.0 N, F4 = 4.1 N.Find the torque.

Q: A force vector (2, -1, 4)N acts on a particle at the position (1, -3, 0)m. What is the torque due to…

Q: Three forces are acting on a bar of length 3.5 m. ?1has a magnitude of 11 N and acts on the end of…

A: Total length of bar=3.5 m F1=11 N l1=3.5 m θ=21∘ F2=21 N l2=1.75 m F3=? l3=0.15 m

Q: A force of magnitude F is applied horizontally in the -x direction to the rim of a disk of radius R…

A: Since the force acting along the -x axis direction, and y,z components force is zero; So, the force…

Q: A force F = 71 N i acts on an object at a point (x0, y0) = (2.8 m, 2.2 m) as shown in the figure.…

Q: force F⃗ =7i^+2.7k^ N is applied at the point (3,0,1) m. What is the y component of the torque?

Q: A bar of length 3.00 m is hinged at one end and experiences a force of 8.00 N at the other end. The…

Q: = 1.55j N acts on a 0.126 kg object that has position vector 7 = (2.95i – 2.95k) m and velocity…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

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)?
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?
One end of a meter stick is pinned to a table, so the stick can rotate freely in a plane parallel to the tabletop. Two forces, both parallel to the tabletop, are applied to the stick in such a way that the net torque is zero. The first force has a magnitude of 2.00 N and is applied perpendicular to the length of the stick at the free end. The second force has a magnitude of 6.00 N and acts at a 36.1o angle with respect to the length of the stick. Where along the stick is the 6.00-N force applied? Express this distance with respect to the end of the stick that is pinned.
A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- ✓ at (c) What is its velocity? m/s (d) In what direction is it moving? (Give a negative angle.) • from the +x direction. (e) What is its acceleration? m/s² (f) What total force is exerted on the object? N
two particles A and B at xyz coordinates (1 m, 1 m, 0) and (1 m, 0, 1 m). Acting on each particle are three numbered forces, all of the same magnitude and each directed parallel to an axis. (a) Which of the forces produce a torque about the origin that is directed parallel to y? (b) Rank the forces according to the magnitudes of the torques they produce on the particles about the origin, greatest first
Find the torque about the point (1, −2, 1) due to the force F = 2i − j + 3k acting at the point (1, 1, −3).
Problem 2: A wheel with radius r= 1.8 m has a tangential force F = 14.2 N acting on it as shown. F Part (a) What is the magnitude of the torque about the center of the wheel, in N•m? N•m sin() cos() tan() 7 8 9 НОMЕ cotan() asin() acos() E ↑^^| 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees Radians VO BACKSPАСЕ DEL CLEAR Part (b) What is the direction of the torque?
A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle of radius 3.35 m centered at the origin. It starts at the point with position vector 3.35î m. Then it undergoes an angular displacement of 9.25 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- v at (c) What is its velocity? m/s (d) In what direction is it moving? ° from the +x direction. (e) What is its acceleration? m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose file No file chosen This answer has not been graded yet. (g) What total force is exerted on the object? N
(a) Is it possible to calculate the torque acting on a rigid object without specifying an origin? (b) Is the torque independent of the location of the origin?
Bob pulls with a force F = (2.1)i− (4.0)j on an apple. The apple has a position vector r = (5.5)i+ (8.3)i relative to the origin at the base of the tree. What are the magnitude and direction of the torque about the origin?
In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0,4.0 m) when forces F1= (3.0N)k̂ and F2 = (−2.0N)ĵ act on the flea?
Find the torque about the origin produced by a constant force of 8.0 i⌢ N8.0 i⌢ N on a particle situated at (5j ⌢+2k⌢) m(5j ⌢+2k⌢) m.