EBK COLLEGE PHYSICS
10th Edition
ISBN: 8220100853050
Author: Vuille
Publisher: CENGAGE L
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Chapter 5, Problem 4WUE
To determine
The work done by the forces.
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Question 3 of 17
L
X
L
L
T
0.5/
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
45
L
X
Q Search
MD
bp
N
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 5 Solutions
EBK COLLEGE PHYSICS
Ch. 5.1 - In Figure 5.5 (a)-(d), a block moves to the right...Ch. 5.3 - Three identical halls are thrown from the top of a...Ch. 5.3 - Bob, of mass m, drops from a tree limb at the same...Ch. 5.5 - Prob. 5.4QQCh. 5 - Physics Review A crane lifts a loud of bricks of...Ch. 5 - Physics Review A crate of mass 20.0 kg rest on a...Ch. 5 - Calculate the work done by an applied force of...Ch. 5 - Prob. 4WUECh. 5 - Prob. 5WUECh. 5 - A 4.00-kg crate Marling at rest slides dawn a...
Ch. 5 - A skier leaves a ski jump at 15.0 m/s at some...Ch. 5 - A block of mass 3.00 kg is placed against a...Ch. 5 - What average mechanical power must a 70.0-kg...Ch. 5 - A puck of mass 0.170 kg slides across ice in the...Ch. 5 - Consider a tug-of-war as in Figure CQ5.1, in which...Ch. 5 - During a stress test of the cardiovascular system,...Ch. 5 - (a) If the height of a playground slide is kept...Ch. 5 - (a) Can the kinetic energy of a system be...Ch. 5 - Roads going up mountains are formed into...Ch. 5 - A bowling ball is suspended from the ceiling of a...Ch. 5 - As a simple pendulum swings back and forth, the...Ch. 5 - Discuss whether any work is being done by each of...Ch. 5 - When a punter kicks a football, is he doing any...Ch. 5 - The driver of a car slams on her brakes to avoid...Ch. 5 - A weight is connected to a spring that is...Ch. 5 - In most situations we have encountered in this...Ch. 5 - Suppose you are reshelving books in a library. As...Ch. 5 - The feet of a standing person of mass m exert a...Ch. 5 - An Earth satellite is in a circular orbit at an...Ch. 5 - Mark and David are loading identical cement blocks...Ch. 5 - If the speed of a particle is doubled, what...Ch. 5 - A certain truck has twice the mass of a car. Both...Ch. 5 - If the net work done on a particle is zero, which...Ch. 5 - A car accelerates uniformly from rest. Ignoring...Ch. 5 - A weight lifter lifts a 350-N set of weights from...Ch. 5 - In 1990 Walter Arfeuille of Belgium lifted a...Ch. 5 - Prob. 3PCh. 5 - a shopper in a supermarket pushes a cart with a...Ch. 5 - Starting from rest, a 5.00-kg block slides 2.50 m...Ch. 5 - A horizontal force of 150 N is used to push a...Ch. 5 - A sledge loaded with bricks has a total mass of...Ch. 5 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 5 - A mechanic pushes a 2.50 103-kg car from rest to...Ch. 5 - A 7.00-kg bowling ball moves at 3.00 m/s. How fast...Ch. 5 - A 65.0-kg runner has a speed of 5.20 m/s at one...Ch. 5 - A worker pushing a 35.0-kg wooden crate at a...Ch. 5 - A 70-kg base runner begins his slide into second...Ch. 5 - A running 62-kg cheetah has a top speed of 32 m/s....Ch. 5 - A 7.80-g bullet moving at 575 m/s penetrates a...Ch. 5 - A 0.60-kg particle has a speed of 2.0 m/s at point...Ch. 5 - A large cruise ship of mass 6.50 107 kg has a...Ch. 5 - A man pushing a crate of mass m = 92.0 kg at a...Ch. 5 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 5 - When a 2.50-kg object is hung vertically on a...Ch. 5 - In a control system, an accelerometer consists of...Ch. 5 - A 60.0-kg athlete leaps straight up into the air...Ch. 5 - A 2.10 103-kg pile driver is used to drive a...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - A daredevil on a motorcycle leaves the end of a...Ch. 5 - Truck suspensions often have helper springs dial...Ch. 5 - The chin-up is one exercise that can be used to...Ch. 5 - A flea is able to jump about 0.5 m. It has been...Ch. 5 - A 50.0-kg projectile is fired at an angle of 30.0...Ch. 5 - A projectile of mass m is fired horizontally with...Ch. 5 - A horizontal spring attached to a wall has a force...Ch. 5 - A 50.-kg pole vaulter running at 10. m/s vaults...Ch. 5 - A child and a sled with a combined mass of 50.0 kg...Ch. 5 - Hookes law describes a certain light spring of...Ch. 5 - A 0.250-kg block along a horizontal track has a...Ch. 5 - A block of mass m = 5.00 kg is released from rest...Ch. 5 - Tarzan savings on a 30.0-m-long vine initially...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - The launching mechanism of a toy gun consists of a...Ch. 5 - (a) A block with a mass m is pulled along a...Ch. 5 - (a) A child slides down a water slide at an...Ch. 5 - An airplane of mass 1.50 104 kg is moving at 60.0...Ch. 5 - The system shown in Figure P5.43 is used to lift...Ch. 5 - A 25.0-kg child on a 2.00-m-long swing is released...Ch. 5 - A 2.1 103-kg car starts from rest at the top of a...Ch. 5 - A child of mass m starts from rest and slides...Ch. 5 - A skier starts from rest at the top of a hill that...Ch. 5 - In a circus performance, a monkey is strapped to a...Ch. 5 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 5 - Q A skier of mass 70.0 kg is pulled up a slope by...Ch. 5 - A 3.50-kN piano is lilted by three workers at...Ch. 5 - While running, a person dissipates about 0.60 J of...Ch. 5 - The electric motor of a model train accelerates...Ch. 5 - When an automobile moves with constant speed down...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - A 1.50 103-kg car starts from rest and...Ch. 5 - A 6.50 102-kg elevator starts from rest and moves...Ch. 5 - The force acting on a particle varies as in Figure...Ch. 5 - An object of mass 3.00 kg is subject to a force Fx...Ch. 5 - The force acting on an object is given by Fx = (8x...Ch. 5 - An outfielder throws a 0.150-kg baseball at a...Ch. 5 - A person doing a chin-up weighs 700 N, exclusive...Ch. 5 - A boy starts at rest and slides down a...Ch. 5 - A roller-coaster car of mass 1.50 103 kg is...Ch. 5 - A ball of mass m = 1.80 kg is released from rest...Ch. 5 - An archer pulls her bowstring back 0.400 m by...Ch. 5 - A block of mass 12.0 kg slides from rest down a...Ch. 5 - (a) A 75-kg man steps out a window and falls (from...Ch. 5 - A toy gun uses a spring to project a 5.3-g soft...Ch. 5 - Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are...Ch. 5 - In a needle biopsy, a narrow strip of tissue is...Ch. 5 - A 2.00 102-g particle is released from rest at...Ch. 5 - The particle described in Problem 71 (Fig. P5.71)...Ch. 5 - A light spring with spring constant 1.20 103 N/m...Ch. 5 - Prob. 76APCh. 5 - In terms of saving energy, bicycling and walking...Ch. 5 - Energy is conventionally measured in Calories as...Ch. 5 - A ski jumper starts from rest 50.0 m above the...Ch. 5 - A 5.0-kg block is pushed 3.0 m up a vertical wall...Ch. 5 - A childs pogo slick (Fig. P5.77) stores energy in...Ch. 5 - A hummingbird is able to hover because, as the...Ch. 5 - In the dangerous sport of bungee jumping, a daring...Ch. 5 - The masses of the javelin, discus, and shot are...Ch. 5 - A truck travels uphill with constant velocity on a...Ch. 5 - A daredevil wishes to bungee-jump from a hot-air...Ch. 5 - Prob. 87APCh. 5 - An object of mass m is suspended from the top of a...Ch. 5 - Three objects with masses m1 = 5.00 kg, m2 = 10.0...Ch. 5 - Prob. 90APCh. 5 - Prob. 91APCh. 5 - Two blocks, A and B (with mass 50.0 kg and 1.00 ...
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