![Essential University Physics: Volume 1 (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780321993724/9780321993724_largeCoverImage.gif)
Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 43P
Find the center of mass of the uniform, solid cone of height h, base radius R, and constant density ρ shown in Fig. 9.25. (Hint: Integrate over disk-shaped mass elements of thickness dy, as shown in the figure.)
FIGURE 9.25 Problem 43
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
A non-uniform beam extends from x = 0 m to x = 5.4 m. The linear mass density of the beam, as a function of x, is given by
λ(x) = 415 x4 (kg/m).
Calculate the x coordinate of the center of mass of the beam, in m.
(Please answer to the fourth decimal place - i.e 14.3225)
A rod of length 24.00 cm has linear density (mass per length) given by 50.0 + 19.0x where x is the distance from one end, and Ï is measured in grams/meter. What is its mass? How far from the x end is its center of mass? Need Help? Read
Needs Complete typed solution with 100 % accuracy.
Question 9: A half uniform annulus of inner and outer radii R1 and R2 has a non-
uniform surface mass density given by o = oor where oo is a positive constant and r
is the radial distance from the origin (radial coordinate in the cylindrical coordinates)
as shown in Figure 6. Find
i) the mass of the half annulus, and
ii) the position of the center of mass, i.e., (xem, Yem) the center of mass in terms of
R1 and R2.
R2
M
Figure 6
Chapter 9 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 9.1 - Prob. 9.1GICh. 9.2 - A 500-g fireworks rocket is moving with velocity...Ch. 9.2 - Two skaters toss a basketball back and forth on...Ch. 9.3 - Which of the following systems has (1) zero...Ch. 9.4 - Which of the following qualifies as a collision?...Ch. 9.5 - Which of the following collisions qualify as...Ch. 9.6 - One ball is at rest on a level floor. A second...Ch. 9 - Roughly where is your center of mass when youre...Ch. 9 - Prob. 2FTDCh. 9 - Prob. 3FTD
Ch. 9 - The momentum of a system of pool balls is the same...Ch. 9 - An hourglass is inverted and placed on a scale....Ch. 9 - Why are cars designed so that their front ends...Ch. 9 - Give three everyday examples of inelastic...Ch. 9 - Is it possible to have an inelastic collision in...Ch. 9 - Prob. 9FTDCh. 9 - Why dont we need to consider external forces...Ch. 9 - How is it possible to have a collision between...Ch. 9 - A pitched baseball moves no faster than the...Ch. 9 - Two identical satellites are going in opposite...Ch. 9 - Prob. 14ECh. 9 - Two particles of equal mass m are at the vertices...Ch. 9 - Rework Example 9.1 with the origin at the center...Ch. 9 - Three equal masses lie at the corners of an...Ch. 9 - Prob. 18ECh. 9 - A popcorn kernel at rest in a hot pan bursts into...Ch. 9 - A 60-kg skater, at rest on frictionless ice,...Ch. 9 - A plutonium-239 nucleus at rest decays into a...Ch. 9 - A toboggan of mass 8.6 kg is moving horizontally...Ch. 9 - A 150-g trick baseball is thrown at 60 km/h. It...Ch. 9 - An object with kinetic energy K explodes into two...Ch. 9 - Two 140-kg satellites collide at an altitude where...Ch. 9 - High-speed photos of a 220-g flea jumping...Ch. 9 - Youre working in mission control for an...Ch. 9 - In a railroad switchyard, a 56-ton freight car is...Ch. 9 - In a totally inelastic collision between two equal...Ch. 9 - Prob. 30ECh. 9 - Two identical trucks have mass 5500 kg when empty,...Ch. 9 - An alpha particle (4He) strikes a stationary gold...Ch. 9 - Playing in the street, a child accidentally tosses...Ch. 9 - A block of mass m undergoes a one-dimensional...Ch. 9 - A proton moving at 6.9 Mm/s collides elastically...Ch. 9 - A head-on, elastic collision between two particles...Ch. 9 - Find the center of mass of a pentagon with five...Ch. 9 - Wildlife biologists fire 20-g rubber bullets to...Ch. 9 - Consider a system of three equal-mass particles...Ch. 9 - Youre with 19 other people on a boat at rest in...Ch. 9 - A hemispherical bowl is at rest on a frictionless...Ch. 9 - Physicians perform needle biopsies to sample...Ch. 9 - Find the center of mass of the uniform, solid cone...Ch. 9 - A firecracker, initially at rest, explodes into...Ch. 9 - An 11,000-kg freight car rests against a spring...Ch. 9 - On an icy road, a 1200-kg car moving at 50 km/h...Ch. 9 - A 1250-kg car is moving with velocity...Ch. 9 - Masses m and 3m approach at the same speed v and...Ch. 9 - A 238U nucleus is moving in the x-direction at 5.0...Ch. 9 - A cylindrical concrete silo is 4.0 m in diameter...Ch. 9 - A 42-g firecracker is at rest at the origin when...Ch. 9 - A 60-kg astronaut floating in space simultaneously...Ch. 9 - Assuming equal-mass pieces in Exercise 24, find...Ch. 9 - A 62-kg sprinter stands on the left end of a...Ch. 9 - Youre a production engineer in a cookie factory,...Ch. 9 - Mass m, moving at speed 2v, approaches mass 4m,...Ch. 9 - Verify explicitly that kinetic energy is conserved...Ch. 9 - While standing on frictionless ice, you (mass 65.0...Ch. 9 - Youre an accident investigator at a scene where a...Ch. 9 - A fireworks rocket is launched vertically upward...Ch. 9 - Two objects moving in opposite directions with the...Ch. 9 - Explosive bolts separate a 950-kg communications...Ch. 9 - Youre working in quality control for a model...Ch. 9 - Youre investigating an accident in which a 1040-kg...Ch. 9 - A 400-mg popcorn kernel is skittering across a...Ch. 9 - Two identical objects with the same initial speed...Ch. 9 - A proton (mass 1 u) moving at 6.90 Mm/s collides...Ch. 9 - Two objects, one initially at rest, undergo a...Ch. 9 - Blocks B and C have masses 2m and m, respectively,...Ch. 9 - Derive Equation 9.15b.Ch. 9 - An object collides elastically with an equal-mass...Ch. 9 - A proton (mass 1 u) collides elastically with a...Ch. 9 - Two identical billiard balls are initially at rest...Ch. 9 - Find an expression for the impulse imparted by a...Ch. 9 - A 32-u oxygen molecule (O2) moving in the...Ch. 9 - A 114-g Frisbee is lodged on a tree branch 7.65 m...Ch. 9 - You set a small ball of mass m atop a large ball...Ch. 9 - A car moving at speed v undergoes a...Ch. 9 - A 200-g block is released from rest at a height of...Ch. 9 - A 14-kg projectile is launched at 380 m/s at a 55...Ch. 9 - During a crash test, a car moving at 50 km/h...Ch. 9 - Use numerical or graphical techniques to estimate...Ch. 9 - A block of mass m1 undergoes a one-dimensional...Ch. 9 - Two objects of unequal mass, one initially at...Ch. 9 - Prob. 86PCh. 9 - Find the center of mass of a uniform slice of...Ch. 9 - In a ballistic pendulum demonstration gone bad, a...Ch. 9 - An 80-kg astronaut has become detached from the...Ch. 9 - Prob. 90PCh. 9 - A thin rod extends from x = 0 to x = L. It carries...Ch. 9 - Model rocket motors are specified by giving the...Ch. 9 - A block of mass M is moving at speed r0 on a...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...
Additional Science Textbook Solutions
Find more solutions based on key concepts
2. Which of the following is the best example of the use of a referent? _
a. A red bicycle
b. Big as a dump tru...
Physical Science
Scientific Method.
Glencoe Physics: Principles and Problems, Student Edition
an exact quantity that people agree to use to compare measurements.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
The validity of a scientific law.
Physical Universe
Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross produc...
Introduction to Electrodynamics
Choose the best answer to each of the following. Explain your reasoning. If Earth were twice as far as it actua...
The Cosmic Perspective Fundamentals (2nd Edition)
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
- Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that varies accoring to p = Po 10 (1 + 2/6). Answers: x = y = 16.9 x = ky² b=27" in. 17" Thickness t ! in.arrow_forwardA lamina occupies the part of the rectangle 0 ≤ x ≤ 1,0 ≤ y ≤ 3 and the density at each point is given by the function p(x, y) = 5x + 4y + 6. A. What is the total mass? 87/2 B. Where is the center of mass? (arrow_forwardQuestion 9: A half uniform annulus of inner and outer radii R1 and R2 has a non- uniform surface mass density given by o = 0or where oo is a positive constant and r is the radial distance from the origin (radial coordinate in the cylindrical coordinates) as shown in Figure 6. Find i) the mass of the half annulus, and ii) the position of the center of mass, i.e., (xem, Yem) the center of mass in terms of Rị and R2. R2 M X Figure 6arrow_forward
- 8.2 GIVEN: FIND: 2 ft 5ft H₂=0.4 2 ft 1.0 ft 8 tv 14 5 A F-04N a. Draw a FBD of the figure above. b. Determine the largest angle 8 for which the homogeneous block remains at restarrow_forwardExplorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given by Ug = MgyCM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.arrow_forwardA uniform soda can of mass 0.141 kg is 12.1 cm tall and filled with 0.351 kg of soda (figure below). Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. (Initially the soda can is full.) (a) What is the height h of the com of the can and contents initially? cm (b) What is the height h of the com of the can and contents after the can loses all the soda? cm (c) What happens to h as the soda drains out? O decreases then rises again decreases to the bottom O rises to the top O stays the same (d) If x is the height of the remaining soda at any give instant, find x when the com reaches its lowest point. cm Splash!arrow_forward
- do last three partsarrow_forwardOn a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m^3, length 89.2 cm and diameter 2.45 cm from a storage room to a machinist. Calculate the weight of the rod, w. Assume the free-fall acceleration is g = 9.80 m/s^2. Express you answer in N.arrow_forwardFind the center of mass of a thin plate covering the regionbetween the x-axis and the curve y = 2>x2, 1 … x … 2, if theplate’s density at the point (x, y) is d(x) = x2.arrow_forward
- 10arrow_forwardA rod of length 30.0 cm has linear density (mass per length) given by λ = 50.0 + 20.0xwhere x is the distance from one end, measured in meters, and λ is in grams/meter. (a) What is the mass of the rod? (b) How far from the x = 0 end is its center of mass?arrow_forwardHow do i solve using torque and balance equations ? Already sent this question but only got part of the explanation back .....arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
28.1 Rigid Bodies; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=u_LAfG5uIpY;License: Standard YouTube License, CC-BY