 11.1: A car travels at 80 kmlh on a level road in the positive direction ...
 11.2: An automobile traveling at 80.0 km/h has tires of 75.0 cm diameter....
 11.3: A 140 kg hoop rolls along a horizontal floor so that the hoop's cen...
 11.4: A uniform solid sphere rolls down an incline. (a) What must be the ...
 11.5: H.W A 1000 kg car has four 10 kg wheels. When the car is moving, wh...
 11.6: Figure 1130 gives the speed v versus time t for a 0.500 kg object ...
 11.7: In Fig. 1131, a solid cylinder of radius 10 cm and mass 12 kg star...
 11.8: Figure 1132 shows the potential energy U(x) of a solid ball that c...
 11.9: rolls smoothly from rest (starting at height H = 6.0 m) until it le...
 11.10: A hollow sphere of radius 0.15 m, with rotational inertia I = 0.040...
 11.11: In Fig. 1134, a constant horizontal force F.pp of magnitude 10 N i...
 11.12: In Fig. 1135, a solid brass ball of mass 0.280 g will roll smoothl...
 11.13: Nonuniform ball. In Fig. 1136, a ball of mass M and radius R rolls...
 11.14: P so that it rolls smoothly along a horizontal path, up along a ram...
 11.15: A bowler throws a bowling ball of radius R = 11 cm along a lane. Th...
 11.16: Nonuniform cylindrical object. In Fig. 1139, a cylindrical object ...
 11.17: A yoyo has a rotational inertia of 9S0 g' cm2 and a mass of 120 g....
 11.18: In 1980, over San Francisco Bay, a large yoyo was released from a ...
 11.19: In unitvector notation, what is the net torque about the origin on...
 11.20: A plum is located at coordinates (2.0 m, 0, 4.0 m). In unit vector...
 11.21: In unitvector notation, what is the torque about the origin on a p...
 11.22: A particle moves through an xyz coordinate system while a force act...
 11.23: Force P = (2.0 N)i  (3.0 N)k acts on a pebble with position vector...
 11.24: In unitvector notation, what is the torque about the origin on a j...
 11.25: Force P = (8.0 N)i + (6.0 N)] acts on a particle with position vec...
 11.26: At the instant of Fig. 1140, a 2.0 kg particle P has a position ve...
 11.27: At one instant, force P = 4.0} N acts on a 0.25 kg object that has ...
 11.28: A 2.0 kg particlelike object moves in a plane with velocity compon...
 11.29: particles move in an xy plane. Particle PI has mass 6.S kg and spee...
 11.30: wo particles about O? At the instant the displacement of a 2.00 kg ...
 11.31: In Fig. 1142, a 0.400 kg baIl is shot directly upward at initial s...
 11.32: A particle is acted on by two torques about the origin: 71 has a ma...
 11.33: At time t = 0, a 3.0 kg particle with velocity v = (5.0 rnIs)i  (6...
 11.34: A particle is to move in an xy plane, clockwise around the origin a...
 11.35: At time (, the vector 7 = 4.0t2; (2.0t + 6.0(2)J gives the position...
 11.36: Figure 1143 shows three rotating, uniform disks that are coupled b...
 11.37: of mass m = 23 g are fastened to three rods of length d = 12 cm and...
 11.38: A sanding disk with rotational inertia 1.2 X 103 kg m2 is attached...
 11.39: SSM The angular momentum of a flywheel having a rotational inertia ...
 11.40: A disk with a rotational inertia of 7.00 kg m2 rotates like a merry...
 11.41: ture consistillg of a circular hoop of radius R and mass m, and a s...
 11.42: Figure 1146 gives the torque T that acts on an initially stationar...
 11.43: In Fig. 1147, two skaters, each of mass 50 kg, approach each other...
 11.44: A Texas cockroach of mass 0.17 kg runs counterclockwise around the ...
 11.45: A man stands on a platform that is rotating (without friction) with...
 11.46: The rotational inertia of a collapsing spinning star drops to ~ its...
 11.47: A track is mounted on a large wheel that is free to turn with negli...
 11.48: A Texas cockroach first rides at the center of a circular disk that...
 11.49: Tho disks are mounted (like a merrygoround) on lowfriction beari...
 11.50: The rotor of an electric motor has rotational inertia Im = 2.0 X 10...
 11.51: A wheel is rotating freely at angular speed 800 rev/min on a shaft ...
 11.52: A cockroach of mass /11 lies on the rim of a uniform disk of mass 4...
 11.53: A uniform thin rod of length 0.500 m and mass 4.00 kg can rotate in...
 11.54: Figure 1151 shows an overhead view of a ring that can ro \ tate a...
 11.55: A horizontal vinyl record of mass 0.10 kg and radius 0.10 m rotates...
 11.56: In a long jump, an athlete leaves the ground with an initial angula...
 11.57: A uniform disk of mass 10m and radius 3.0r can rotate freely about ...
 11.58: A horizontal platform in the shape of a circular disk rotates on a ...
 11.59: Figure 1152 is an overhead view of a thin uniform rod of length 0....
 11.60: In Fig. 1153, a 1.0 g bullet is fired into a 0.50 kg block attache...
 11.61: The uniform rod (length 0.60 m, mass 1.0 kg) in Fig. 1154 rotates ...
 11.62: During a jump to his partner, an aerialist is to make a quadruple s...
 11.63: stands on the edge of a stationary merrygoround of radius 2.0 m. ...
 11.64: A ballerina begins a tour jete (Fig. 1119a) with angular speed Wi ...
 11.65: attached to the ends of a thin rod of length 50.0 cm and negligible...
 11.66: In Fig. 1158, a small 50 g block slides down a frictionless surfac...
 11.67: Figure 1159 is an overhead view of a thin uniform rod of length o ...
 11.68: A top spins at 30 rev/s about an axis that makes an angle of 30 wit...
 11.69: A certain gyroscope consists of a uniform disk with a 50 cm radius ...
 11.70: A uniform solid ball rolls smoothly along a floor, then up a ramp i...
 11.71: In Fig. 1160, a constant > > Fapp horizontal force Papp of magni...
 11.72: A thinwalled pipe rolls along the floor. What is the ratio of its ...
 11.73: A 3.0 kg toy car moves along an x axis with a velocity given by v =...
 11.74: A wheel rotates clockwise about its central axis with an angular mo...
 11.75: In a playground, there is a small merrygoround of radius 1.20 m a...
 11.76: A uniform block of granite in the shape of a book has face dimensio...
 11.77: Tho particles, each of mass 2.90 X 104 kg and speed 5.46 mis, trav...
 11.78: A wheel of radius 0.250 m, which is moving initially at 43.0 mis, r...
 11.79: Wheels A and B in Fig. 1161 are connected by a belt that does not ...
 11.80: A 2.50 kg particle that is moving horizontally over a floor with ve...
 11.81: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigid...
 11.82: A uniform rod rotates in a horizontal plane about a vertical axis t...
 11.83: A solid sphere of weight 36.0 N rolls up an incline at an angle of ...
 11.84: Suppose that the yoyo in 17, instead of rolling from rest, is thro...
 11.85: A girl of mass M stands on the rim of a frictionless merrygoround ...
 11.86: At time t = 0, a 2.0 kg particle has the position vector r = (4.0 m...
 11.87: If Earth's polar ice caps fully melted and the water returned to th...
 11.88: A 1200 kg airplane is flying in a straight line at 80 mis, 1.3 km a...
 11.89: With axle and spokes of negligible mass and a thin rim, a certain b...
 11.90: For an 84 kg person standing at the equator, what is the magnitude ...
 11.91: A small solid sphere with radius 0.25 cm and mass 0.56 g rolls with...
 11.92: An automobile has a total mass of 1700 kg. It accelerates from rest...
 11.93: A body of radius R and mass m is rolling smoothly with speed v on a...
Solutions for Chapter 11: Fundamentals of Physics: 9th Edition
Full solutions for Fundamentals of Physics:  9th Edition
ISBN: 9780470556535
Solutions for Chapter 11
Get Full SolutionsSummary of Chapter 11:
As we discussed in Chapter 10, physics includes the study of rotation. Arguably, the most important application of that physics is in the rolling motion of wheels and wheellike objects. This applied physics has long been used. For ex ample, when the prehistoric people of Easter Island moved their gigantic stone statues from the quarry and across the island, they dragged them over logs acting as rollers. Much later, when settlers moved westward across America in the 1800s, they rolled their possessions first by wagon and then later by train. Today, like it or not, the world is filled with cars, trucks, motorcycles, bicycles, and other rolling vehicles. The physics and engineering of rolling have been around for so long that you might think no fresh ideas remain to be developed. However, skateboards and in line skates were invented and engineered fairly recently, to become huge finan cial successes. Street luge is now catching on, and the selfrighting Segway (Fig. 111) may change the way people move around in large cities. Applying the physics of rolling can still lead to surprises and rewards. Our starting point in exploring that physics is to simplify rolling motion. 112 Here we consider only objects that roll smoothly along a surface; that is, the objects roll without slipping or bouncing on the surface. Figure 112 shows how complicated smooth rolling motion can be: Although the center of the object moves in a straight line parallel to the surface, a point on the rim certainly does not. However, we can study this motion by treating it as a combination of translation of the center of mass and rotation of the rest of the object around that center.
This textbook survival guide was created for the textbook: Fundamentals of Physics:, edition: 9. Fundamentals of Physics: was written by and is associated to the ISBN: 9780470556535. This expansive textbook survival guide covers the following chapters and their solutions. Since 93 problems in chapter 11 have been answered, more than 101925 students have viewed full stepbystep solutions from this chapter. Chapter 11 includes 93 full stepbystep solutions.

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

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Celsius degree

°F
Fahrenheit degree