FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 11, Problem 27P
SSM At one instant, force
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At a particular instant, a 1.0-kg particle’s position is r → = (2.0i ^ − 4.0j ^ + 6.0k ^ )m , its velocity is v → = (−1.0i ^ + 4.0j ^ + 1.0k ^ )m/s , and the force on it is F → = (10.0i ^ + 15.0j ^ )N . (a) What is the angular momentum of the particle about the origin? (b) What is the torque on the particle about the origin? (c) What is the time rate of change of the particle’s angular momentum at this instant?
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r→1 = (3î + 3ĵ)t + 2ĵ t2, where t is in seconds and r→ is in centimeters. At the same time, the vector position of a 5.50 g particle varies as r→2 = 3î - 2î t2 - 6ĵ t. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
Two forces, 1 = (3.90î − 2.60ĵ) N and 2 = (3.65î − 8.05ĵ) N, act on a particle of mass 2.10 kg that is initially at rest at coordinates (+1.60 m, +3.50 m).
(a) What are the components of the particle's velocity at t = 11.8 s? = 42.362i−59.826j m/s(b) In what direction is the particle moving at t = 11.8 s?305.302 ° counterclockwise from the +x-axis(c) What displacement does the particle undergo during the first 11.8 s?Δ = ????? m(d) What are the coordinates of the particle at t = 11.8 s?
x = ?????
y = ?????
Chapter 11 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 11 - The position vector r of a particle relative to a...Ch. 11 - The angular momenta t of a particle in four...Ch. 11 - A rhinoceros beetle rides the rim of a horizontal...Ch. 11 - A cannonball and a marble roll smoothly from rest...Ch. 11 - Prob. 12QCh. 11 - A car travels at 80 km/h on a level road in the...Ch. 11 - An automobile traveling at 80.0 km/h has tires of...Ch. 11 - Prob. 3PCh. 11 - A uniform solid sphere rolls down an incline. a...Ch. 11 - ILW A 1000 kg car has four 10 kg wheels. When the...
Ch. 11 - A hollow sphere of radius 0.15 m, with rotational...Ch. 11 - SSM A yo-yo has a rotational inertia of 950 gcm2...Ch. 11 - Prob. 18PCh. 11 - In unit-vector notation, what is the net torque...Ch. 11 - A plum is located at coordinates 2.0 m, 0, 4.0 m....Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - A particle moves through an xyz coordinate system...Ch. 11 - Force F=(2.0N)i(3.0N)k acts on a pebble with...Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - SSM Force F=(8.0N)i+(6.0N)j acts on a particle...Ch. 11 - SSM At one instant, force F=4.0N acts on a 0.25 kg...Ch. 11 - A 2.0 kg particle-like object moves in a plant...Ch. 11 - At the instant the displacement of a 2.00 kg...Ch. 11 - A particle is acted on by two torques about the...Ch. 11 - SSM WWW ILW At time t = 0, a 3.0 kg particle with...Ch. 11 - A particle is to move in an xy plane, clockwise...Ch. 11 - At time t, the vector r=4.0t2i(2.0t+6.0t2)j gives...Ch. 11 - A sanding disk with rotational inertia 1.2 103...Ch. 11 - SSM The angular momentum of a flywheel having a...Ch. 11 - A disk with a rotational inertia of 7.00 kgm2...Ch. 11 - A Texas cockroach of mass 0.17 kg runs...Ch. 11 - SSM WWW A man stands on a platform that is...Ch. 11 - The rotational inertia of a collapsing spinning...Ch. 11 - Two disks are mounted like a merry-go-round on...Ch. 11 - The rotor of an electric motor has rotational...Ch. 11 - SSM ILW A wheel is rotating freely at angular...Ch. 11 - GO A cockroach of mass m lies on the rim of a...Ch. 11 - A horizontal vinyl record of mass 0.10 kg and...Ch. 11 - In a long jump, an athlete leaves the ground with...Ch. 11 - A uniform disk of mass 10m and radius 3.0r can...Ch. 11 - A horizontal platform in the shape of a circular...Ch. 11 - GO In Fig. 11-56, a 30 kg child stands on the edge...Ch. 11 - Prob. 68PCh. 11 - A certain gyroscope consists of a uniform disk...Ch. 11 - A uniform solid ball rolls smoothly along a floor,...Ch. 11 - A thin-walled pipe rolls along the floor. What is...Ch. 11 - Prob. 73PCh. 11 - Prob. 74PCh. 11 - Prob. 75PCh. 11 - A uniform block of granite in the shape of a book...Ch. 11 - SSM Two particles, each of mass 2.90 104 kg and...Ch. 11 - A wheel of radius 0.250 m, moving initially al...Ch. 11 - Prob. 79PCh. 11 - Prob. 80PCh. 11 - Prob. 81PCh. 11 - Prob. 82PCh. 11 - Prob. 83P
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