University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 8.105CP
CALC Use the methods of Challenge Problem 8.104 to calculate the x- and y-coordinates of the center of mass of a semicircular metal plate with uniform density ρ and thickness t. Let the radius of the plate be a. The mass of the plate is thus
Figure P8.105
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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.
Chapter 12, Problem d01
Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a
fictitious example where g varies more significantly. The figure shows an array of six particles, each with mass m, fixed to the edge of a rigid structure of
negligible mass. The distance between adjacent particles along the edge is 1.90 m. Following are the values of g at each particle's location:
Particle 1: g =8.03 m/s2
Particle 2: g = 7.71 m/s2
Particle 3: g= 7,68 m/s2
Particle 4: q 7,47 m/s2
Particle 5: q= 7.68 m/s2
Particle 6: g = 7.71 m/s2
Using the coordinate system shown, find (a) the x coordinate xcom and (b) the y coordinate ycom of the center of mass of the six-particle system. Then
find (c) the x coordinate x and (d) the y coordinate y of the center of gravity of the six-particle system
4
5
2
6
(a) Number
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
y
A uniform, square metal plate with side L 6.90 cm and mass 0.365 kg is located with its lower left corner at (x,y) = (0,0), as shown in the figure. A square with side L/4 and its
lower left edge located at (x,y) = (0,0) is removed from the plate. What is the distance from the origin of the center of mass of the remaining plate?
Submit Answer Tries 0/99
L
0
H|4
L
L
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Chapter 8 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 8.1 - Rank the following situations according to the...Ch. 8.2 - A spring-loaded toy sits at rest on a horizontal,...Ch. 8.3 - For each situation, state whether the collision is...Ch. 8.4 - Prob. 8.4TYUCh. 8.5 - Will the center of mass in Fig. 8.32 continue on...Ch. 8.6 - (a) If a rocket in gravity-free outer space has...Ch. 8 - In splitting logs with a hammer and wedge, is a...Ch. 8 - Suppose you catch a baseball and then someone...Ch. 8 - When rain falls from the sky, what happens to its...Ch. 8 - A car has the same kinetic energy when it is...
Ch. 8 - A truck is accelerating as it speeds down the...Ch. 8 - (a) If the momentum of a single point object is...Ch. 8 - A woman holding a large rock stands on a...Ch. 8 - In Example 8.7 (Section 8.3), where the two...Ch. 8 - In a completely inelastic collision between two...Ch. 8 - Since for a particle the kinetic energy is given...Ch. 8 - In each of Examples 8.10, 8.11, and 8.12 (Section...Ch. 8 - A glass dropped on the floor is more likely to...Ch. 8 - In Fig. 8.23b, the kinetic energy of the Ping-Pong...Ch. 8 - A machine gun is fired at a steel plate. Is the...Ch. 8 - A net force of 4 N acts on an object initially at...Ch. 8 - A net force with x-component Fx acts on an object...Ch. 8 - A tennis player hits a tennis ball with a racket....Ch. 8 - Prob. 8.18DQCh. 8 - An egg is released from rest from the roof of a...Ch. 8 - A woman stands in the middle of a perfectly...Ch. 8 - At the highest point in its parabolic trajectory,...Ch. 8 - When an object breaks into two pieces (explosion,...Ch. 8 - An apple falls from a tree and feels no air...Ch. 8 - Two pieces of clay collide and stick together....Ch. 8 - Two objects of mass M and 5M are at rest on a...Ch. 8 - A very heavy SUV collides head-on with a very...Ch. 8 - (a) What is the magnitude of the momentum of a...Ch. 8 - In a certain track and field event, the shotput...Ch. 8 - Objects A, B, and C are moving as shown in Fig....Ch. 8 - Two vehicles are approaching an intersection. One...Ch. 8 - One 110-kg football lineman is running to the...Ch. 8 - BIO Biomechanics. The mass of a regulation tennis...Ch. 8 - Force of a Golf Swing. A 0.0450-kg golf ball...Ch. 8 - Force of a Baseball Swing. A baseball has mass...Ch. 8 - A 0.160-kg hockey puck is moving on an icy,...Ch. 8 - A bat strikes a 0.145-kg baseball. Just before...Ch. 8 - CALC At time t = 0 a 2150-kg rocket in outer space...Ch. 8 - BIO Bone Fracture. Experimental tests have shown...Ch. 8 - A 2.00-kg stone is sliding to the right on a...Ch. 8 - CALC Starting at t = 0, a horizontal net force F =...Ch. 8 - To warm up for a match, a tennis player hits the...Ch. 8 - A 68.5-kg astronaut is doing a repair in space on...Ch. 8 - The expanding gases that leave the muzzle of a...Ch. 8 - Two figure skaters, one weighing 625 N and the...Ch. 8 - BIO Animal Propulsion. Squids and octopuses propel...Ch. 8 - You are standing on a sheet of ice that covers the...Ch. 8 - On a frictionless. horizontal air table, puck A...Ch. 8 - When cars are equipped with flexible bumpers, they...Ch. 8 - Two identical 0.900-kg masses are pressed against...Ch. 8 - Block A in Fig. E8.24 has mass 1.00 kg, and block...Ch. 8 - A hunter on a frozen, essentially frictionless...Ch. 8 - An atomic nucleus suddenly bursts apart (fissions)...Ch. 8 - Two ice skaters. Daniel (mass 65.0 kg) and Rebecca...Ch. 8 - You are standing on a large sheet of frictionless...Ch. 8 - You (mass 55 kg) are riding a frictionless...Ch. 8 - An astronaut in space cannot use a conventional...Ch. 8 - Asteroid Collision. Two asteroids of equal mass in...Ch. 8 - Two skaters collide and grab on to each other on...Ch. 8 - A 15.0-kg fish swimming at 1.10 m/s suddenly...Ch. 8 - Two fun-loving otters are sliding toward each...Ch. 8 - Deep Impact Mission. In July 2005, NASAs Deep...Ch. 8 - A 1050-kg sports car is moving westbound at 15.0...Ch. 8 - On a very muddy football field, a 110-kg...Ch. 8 - Accident Analysis. Two cars collide at an...Ch. 8 - Jack (mass 55.0 kg) is sliding due east with speed...Ch. 8 - BIO Bird Defense. To protect their young in the...Ch. 8 - At the intersection of Texas Avenue and University...Ch. 8 - A 5.00-g bullet is fired horizontally into a...Ch. 8 - A Ballistic Pendulum. A 12.0-g rifle bullet is...Ch. 8 - Combining Conservation Laws. A 15.0-kg block is...Ch. 8 - CP A 0.800-kg ornament is hanging by a 1.50-m wire...Ch. 8 - A 0.150-kg glider is moving to the right with a...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move...Ch. 8 - A 10.0-g marble slides to the left at a speed of...Ch. 8 - Moderators. Canadian nuclear reactors use heavy...Ch. 8 - You are at the controls of a particle accelerator,...Ch. 8 - Three odd-shaped blocks of chocolate have the...Ch. 8 - Prob. 8.52ECh. 8 - Pluto and Charon. Plutos diameter is approximately...Ch. 8 - A 1200-kg SUV is moving along a straight highway...Ch. 8 - Prob. 8.55ECh. 8 - At one instant, the center of mass of a system of...Ch. 8 - In Example 8.14 (Section 8.5), Ramon pulls on the...Ch. 8 - CALC A system consists of two particles. At t = 0...Ch. 8 - CALC A radio-controlled model airplane has a...Ch. 8 - Prob. 8.60ECh. 8 - A 70-kg astronaut floating in space in a 110-kg...Ch. 8 - A small rocket burns 0.0500 kg of fuel per second,...Ch. 8 - Obviously, we can make rockets to go very fast,...Ch. 8 - A steel ball with mass 40.0 g is dropped from a...Ch. 8 - Just before it is struck by a racket, a tennis...Ch. 8 - Three identical pucks on a horizontal air table...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 10.00 kg, to...Ch. 8 - A railroad handcar is moving along straight,...Ch. 8 - Spheres A (mass 0.020 kg), B (mass 0.030 kg), and...Ch. 8 - You and your friends are doing physics experiments...Ch. 8 - CP An 8.00-kg block of wood sits at the edge of a...Ch. 8 - CP A small wooden block with mass 0.800 kg is...Ch. 8 - Combining Conservation Laws. A 5.00-kg chunk of...Ch. 8 - CP Block B (mass 4.00 kg) is at rest at the edge...Ch. 8 - Two blocks have a spring compressed between them,...Ch. 8 - Automobile Accident Analysis. You are called as an...Ch. 8 - Accident Analysis. A 1500-kg sedan goes through a...Ch. 8 - CP A 0.150-kg frame, when suspended from a coil...Ch. 8 - A rifle bullet with mass 8.00 g strikes and embeds...Ch. 8 - A Ricocheting Bullet. A 0.100-kg stone rests on a...Ch. 8 - Prob. 8.81PCh. 8 - Prob. 8.82PCh. 8 - A ball with mass M, moving horizontally at 4.00...Ch. 8 - PA 20.00-kg lead sphere is hanging from a hook by...Ch. 8 - A 4.00-g bullet, traveling horizontally with a...Ch. 8 - A 5.00-g bullet is shot through a 1.00-kg wood...Ch. 8 - CP In a shipping company distribution center, an...Ch. 8 - Neutron Decay. A neutron at rest decays (breaks...Ch. 8 - Antineutrino. In beta decay, a nucleus emits an...Ch. 8 - Jonathan and Jane are sitting in a sleigh that is...Ch. 8 - Friends Burt and Ernie stand at opposite ends of a...Ch. 8 - A 45.0-kg woman stands up in a 60.0-kg canoe 5.00...Ch. 8 - You are standing on a concrete slab that in turn...Ch. 8 - CP In a fireworks display, a rocket is launched...Ch. 8 - A 7.0-kg shell at rest explodes into two...Ch. 8 - CP A 20.0-kg projectile is fired at an angle of...Ch. 8 - CP A fireworks rocket is fired vertically upward....Ch. 8 - A 12.0-kg shell is launched at an angle of 55.0...Ch. 8 - CP An outlaw cuts loose a wagon with two boxes of...Ch. 8 - DATA A 2004 Prius with a 150-lb driver and no...Ch. 8 - DATA In your job in a police lab, you must design...Ch. 8 - DATA For the Texas Department of Public Safety,...Ch. 8 - CALC A Variable-Mass Raindrop. In a...Ch. 8 - Prob. 8.104CPCh. 8 - CALC Use the methods of Challenge Problem 8.104 to...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...
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