Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 5, Problem 111P
To determine
To show that the center of mass of the given wire is located at
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
. A thin strip of metal of mass M is bent into a quarter circle with radius R. Relative to a
coordinate system where the center of the circle is at the origin, what is the position of its
center of mass, (Xem, Yem)? The integrals you'll need to compute to find the center of mass are
given below. You answer should be symbolic, in terms of R (for example, 0.1R).
Find the centre of mass of the 2D shape bounded by the lines y = +1.5x between x = 0 to 1.5. Assume the density is uniform with the value:
3.1kg.m-2.
-3
Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.9kg. m
(Give all your answers rounded to 3 significant figures.)
a)
Enter the mass (kg) of the 2D plate:
Enter the Moment (kg.m) of the 2D plate about the y-axis:
Enter the x-coordinate (m) of the centre of mass of the 2D plate:
b)
Enter the mass (kg) of the 3D body:
Enter the Moment (kg.m) of the 3D body about the y-axis:
Enter the x-coordinate (m) of the centre of mass of the 3D body:
In the figure below find the y-coordinate of point A so that the 1600 N force will have a clockwise moment of 543 N-m about O. Also determine the x and y-intercepts of the line of action of the force. The side slope of the force is 3 horizontal and 2 vertical.
Chapter 5 Solutions
Physics for Scientists and Engineers
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 65PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 88PCh. 5 - Prob. 89PCh. 5 - Prob. 90PCh. 5 - Prob. 91PCh. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Prob. 94PCh. 5 - Prob. 95PCh. 5 - Prob. 96PCh. 5 - Prob. 97PCh. 5 - Prob. 101PCh. 5 - Prob. 102PCh. 5 - Prob. 103PCh. 5 - Prob. 104PCh. 5 - Prob. 105PCh. 5 - Prob. 106PCh. 5 - Prob. 107PCh. 5 - Prob. 108PCh. 5 - Prob. 109PCh. 5 - Prob. 110PCh. 5 - Prob. 111PCh. 5 - Prob. 112PCh. 5 - Prob. 113PCh. 5 - Prob. 114PCh. 5 - Prob. 115PCh. 5 - Prob. 116PCh. 5 - Prob. 117PCh. 5 - Prob. 118PCh. 5 - Prob. 119PCh. 5 - Prob. 120PCh. 5 - Prob. 121PCh. 5 - Prob. 122PCh. 5 - Prob. 123PCh. 5 - Prob. 124PCh. 5 - Prob. 125PCh. 5 - Prob. 126PCh. 5 - Prob. 127PCh. 5 - Prob. 128PCh. 5 - Prob. 129PCh. 5 - Prob. 130PCh. 5 - Prob. 131PCh. 5 - Prob. 132PCh. 5 - Prob. 133PCh. 5 - Prob. 134PCh. 5 - Prob. 135PCh. 5 - Prob. 136PCh. 5 - Prob. 137PCh. 5 - Prob. 138PCh. 5 - Prob. 139P
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
- Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .arrow_forwardFind the centre of mass of the 2D shape bounded by the lines y :±0.5x between x : 0 to 2.1. Assume the density is uniform with the value: 1.5kg. m -2 Also find the centre of mass of the 3D volume created by rotating the same lines about the x- axis. The density is uniform with the value: 2.7kg. m-³. (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: b) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:arrow_forwardAngular Momentum around CM In the class I claimed that regardless of the motion of an extended object, we have ext CM TCM where LCM and TOM are, respectively, the angular momentum and the net external torque around the CM. Assuming all the internal forces are central, prOve this result. (This result is surprising since the CM may be accelerating, so a fixed point in any inertial frame.) .ext that it is not necessarily Hint: You can define ra R+ r as shown in the following firgure. CM ra R a Taarrow_forward
- A 6.0 kg block is released from A on thefrictionless track shown in Figure. Determinethe radial and tangential components ofacceleration for the block at P.arrow_forwardO Macmillan Learning A half-circle of wire of length L and mass M is placed on a coordinate system such that, if the circle were complete, its center would be at the origin. The wire semicircle begins on the positive y-axis, crosses the negative x-axis at the wire's midpoint, and ends at the symmetrically located position on the negative y-axis, as shown. Derive an expression for the position vector FCM of the wire's center of mass. Enter your expression in terms of given quantities, exact rational and irrational coefficients, and using ij unit-vector notation. FCM Incorrect Question Credit: OpenStax University Physics v1arrow_forwardA certain force F has a moment of 18Q N-m clockwise about point O and 9T N-m counterclockwise about point B. If its moment about point A is zero, determine the magnitude and direction of the force. Also, determine the x-intercept of the force. (x-intercept of the force is the distance of the intersection of the line of action of the force and the x-axis, measured from the origin O) Wherein: Q=2 T=6arrow_forward
- In an upright standing frictionless hollow cylinder (radius R), a Isphere (point mass m) is inserted at point A with a horizontal initial speed v0. a) What angle a to the horizontal plane has the velocity vB at point B lying in height distance h below A? b) What speed v0 is necessary such that the sphere hits the ground at C with H. 'B. an angle of 45 and what magnitude has vC in this case?arrow_forward1978M1. An amusement park ride consists of a ring of radius A from which hang ropes of length éwith seats for the riders as shown in Figure I. When the ring is rotating at a constant angular velocity o each rope forms a constant angle 0 with the vertical as shown in Figure II. Let the mass of cach rider be m and neglect friction, air resistance, and the mass of the ring, ropes, and seats. In the space below, draw and label all the forces acting on rider X (represented by the point below) under the constant rotating condition of Figure II. Clearly define any symbols you introduce. a. b. Derive an expression for o in terms of A, 4 0 and the acceleration of gravity g. Determine the minimum work that the motor that powers the ride would have to perform to bring the system c. from rest to the constant rotating condition of Figure II. Express your answer in terms of m, g, 4 0, and the speed v of each rider.arrow_forwardThe specialty wrench shown in the figure is designed for access to the hold-down bolt on certain automobile distributors. For the configuration shown, where the wrench lies in a vertical plane and a horizontal 120-N force F is applied at A perpendicular to the handle, calculate the moment Mo applied to the bolt at O. For what value of the distance d would the z-component of Mo be zero? Assume a = 65 mm, d = 105 mm, h = 200 mm, 0 = 27°. F Answers Mo (i d = i A wanaosaRKEK wwwwwwww 1 0 a ₪12 d h Y_-_y i+ i mm j+ Mi k) N-marrow_forward
- A billiard ball is hit by a billiard cue. The line of action of the applied momentum is horizontal and passes through the center of the ball. The ball's initial velocity after impact is vo, its radius R, in t seconds, the mass M, and the coefficient of friction between the ball and the table are all known. (a) How far will the ball move before it stops sliding on the table and begins to roll? (b) what will be the velocity angular at that point?arrow_forwardMass M is uniformly distributed along a line of length 2L. A particle with mass mis at a point P distance a above the center of the line on its perpendicular bisector. Forthe gravitational force that the line exerts on the particle, calculate the components perpendicular and parallel to the line. Show that your result reduces to the correctvalue when a gets large.arrow_forwardA force F of 36N acts on a box in the direction of the vector OP, where P (-5,7,–3) and O(0,0,0). Express the force as a vector. F = help (vectors) Find the angle between force F and the xy-plane. Answer in radians. help (angles)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY