FUND.OF PHYSICS (LL)-PRINT COMP.VOL.2
12th Edition
ISBN: 9781119801269
Author: Halliday
Publisher: WILEY
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Chapter 2, Problem 90P
To determine
To find: The reduction in car’s stopping distance.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 2 Solutions
FUND.OF PHYSICS (LL)-PRINT COMP.VOL.2
Ch. 2 - Suppose that a passenger intent on lunch during...Ch. 2 - While driving a car at 90 km/h, how far do you...Ch. 2 - Compute your average velocity in the following two...Ch. 2 - SSM WWW An automobile travels on a straight road...Ch. 2 - A car moves uphill at 40 km/h and then back...Ch. 2 - SSM The position of an object moving along an x...Ch. 2 - The 1992 world speed record for a bicycle...Ch. 2 - Two trains, each having a speed of 30 km/h, are...Ch. 2 - ILW In 1 km races, runner 1 on track 1with time 2...Ch. 2 - To set a speed record in a measured straight-line...
Ch. 2 - GO You are to drive 300 km to an interview. The...Ch. 2 - ILW You drive on Interstate 10 from San Antonio to...Ch. 2 - GO An electron moving along the x axis has a...Ch. 2 - GO a If a particles position is given by x = 4 ...Ch. 2 - The position function xt of a particle moving...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - The position of a particle moving along an x axis...Ch. 2 - SSM At a certain time a particle had a speed of 18...Ch. 2 - a If the position of a particle is given by x =...Ch. 2 - From t = 0 to t = 5.00 min, a man stands still,...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Catapulting mushrooms. Certain mushrooms launch...Ch. 2 - An electric vehicle starts from rest and...Ch. 2 - A muon an elementary particle enters a region with...Ch. 2 - An electron has a constant acceleration of 3.2...Ch. 2 - On a dry road, a car with good tires may be able...Ch. 2 - ILW A certain elevator cab has a total run of 190...Ch. 2 - The brakes on your car can slow you at a rate of...Ch. 2 - SSM Suppose a rocket ship in deep space moves with...Ch. 2 - SSM ILW A car traveling 56.0 km/h is 24.0 m from a...Ch. 2 - A car moves along an x axis through a distance of...Ch. 2 - a If the maximum acceleration that is tolerable...Ch. 2 - You are driving toward a traffic signal when it...Ch. 2 - GO You are arguing over a cell phone while...Ch. 2 - When startled, an armadillo will leap upward....Ch. 2 - SSM WWWa With what speed must a ball be thrown...Ch. 2 - Raindrops fall 1700 m from a cloud to the ground....Ch. 2 - SSMAt a construction site a pipe wrench struck the...Ch. 2 - A hoodlum throws a stone vertically downward with...Ch. 2 - SSM A hot-air balloon is ascending at the rate of...Ch. 2 - GO A bolt is dropped from a bridge under...Ch. 2 - SSM ILW A key falls from a bridge that is 45 m...Ch. 2 - GO A stone is dropped into a river from a bridge...Ch. 2 - SSM A ball of moist clay falls 15.0 m to the...Ch. 2 - To test the quality of a tennis ball, you drop it...Ch. 2 - An object falls a distance h from rest. If it...Ch. 2 - Water drips from the nozzle of a shower onto the...Ch. 2 - GO A rock is thrown vertically upward from ground...Ch. 2 - GO A steel ball is dropped from a buildings roof...Ch. 2 - A basketball player grabbing a rebound jumps76.0...Ch. 2 - GO A drowsy cat spots a flowerpot that sails first...Ch. 2 - Two particles move along an x axis. The position...Ch. 2 - In an arcade video game, a spot is programmed to...Ch. 2 - A rock is shot vertically upward from the edge of...Ch. 2 - GO At the instant the traffic light turns green,...Ch. 2 - GO To stop a car, first you require a certain...Ch. 2 - SSM A hot rod can accelerate from 0 to 60 km/h in...Ch. 2 - GO A red train traveling at 72 km/h and a green...Ch. 2 - A train started from rest and moved with constant...Ch. 2 - SSM A particles acceleration along an x axis is a...Ch. 2 - A rocket-driven sled running on a straight, level...Ch. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - Prob. 92PCh. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 98PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109P
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