Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 11, Problem 5Q
In Fig. 11-26, three forces of the same magnitude are applied to a particle at the origin (
Figure 11-26 Question 25.
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Check out a sample textbook solutionStudents have asked these similar questions
Example 11-6: Torque vector.
Suppose the vector ř is in the xz plane, and
is given by i = (1.2 m)î + 1.2 m)k Calculate
the torque vector t if F= (150 N) i.
(a) Let forces F =-i+j, F, = }, F, =-2î -4ĵ and F, = 21
are acting at 0(0,0), A(2,0),
B(0,-2) and C(3,2) respectively. Find (i) torque of all forces about O. (ii) sum of torques of
%3D
all the forces about O. (iii) moment of all the forces about A, when no force is acting at A.
(b) Find the Lagrange's equation of motion for a pendulum bob suspended with a rubber band.
Ouestion
Force F
(5.88 N )î – (6.66 N )k.
acts on a pebble with position vector 7 = (4.48 m )j – (6.31 m )k, relative to the
origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates ( 9.08 m, 0, - 1.25 m)?
(a) Number
-29.8
-37.1
-26.3
k Units
N•m
+
(b) Number
i
-30.4
i
1.25
k Units
N•m
Chapter 11 Solutions
Fundamentals of Physics Extended
Ch. 11 - Figure 11-23 shows three particles of the same...Ch. 11 - Figure 11-24 shows two particles A and B at xyz...Ch. 11 - What happens to the initially stationary yo-yo in...Ch. 11 - The position vector r of a particle relative to a...Ch. 11 - In Fig. 11-26, three forces of the same magnitude...Ch. 11 - The angular momenta t of a particle in four...Ch. 11 - A rhinoceros beetle rides the rim of a horizontal...Ch. 11 - Figure 11-27 shows an overhead view of a...Ch. 11 - Figure 11-38 gives the angular momentum magnitude...Ch. 11 - Figure 11-29 shows a particle moving at constant...
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 - Figure 11-30 gives the speed v versus time t for a...Ch. 11 - ILW In Fig. 11-31, a solid cylinder of radius 10cm...Ch. 11 - Figure 11-32 shows the potential energy Ux of a...Ch. 11 - GO In Fig. 11-33, a solid ball rolls smoothly from...Ch. 11 - A hollow sphere of radius 0.15 m, with rotational...Ch. 11 - In Fig. 11-34, a constant horizontal force Fapp of...Ch. 11 - GO In Fig. 11-35, a solid brass ball of mass 0.280...Ch. 11 - GO Nonuniform ball. In Fig. 11-36, a ball of mass...Ch. 11 - In Fig. 11-37, a small, solid, uniform ball is to...Ch. 11 - GO A bowler throws a bowling ball of radius R = 11...Ch. 11 - GO Nonuniform cylindrical object. In Fig. 11-39, a...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 - At the instant of Fig. 11-40, a 2.0 kg particle P...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 - ILW In the instant of Fig, 11-41, two particles...Ch. 11 - At the instant the displacement of a 2.00 kg...Ch. 11 - In Fig. 11-42, a 0.400 kg ball is shot directly...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 - Prob. 36PCh. 11 - GO In Fig. 11-44, three particles of mass m = 23 g...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 - GO Figure 11-45 shows a rigid structure consisting...Ch. 11 - Figure 11-46 gives the torque that acts on an...Ch. 11 - Prob. 43PCh. 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 - SSM A track is mounted on a large wheel that is...Ch. 11 - A Texas cockroach walks from the center of a...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 - GO In Fig. 11-50 an overhead view, a uniform thin...Ch. 11 - GO Figure 11-51 shows an overhead view of a ring...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 - Figure 11-52 is an overhead view of a thin uniform...Ch. 11 - In Fig. 11-53, a 1.0 g bullet is tired into a 0.50...Ch. 11 - The uniform rod length 0.60 m, mass 1.0 kg in Fig....Ch. 11 - GO During a jump to his partner, an aerialist is...Ch. 11 - GO In Fig. 11-56, a 30 kg child stands on the edge...Ch. 11 - A ballerina begins a tour jet Fig. 11-19a with...Ch. 11 - SSM WWW Two 2.00 kg balls are attached to the ends...Ch. 11 - Prob. 66PCh. 11 - Prob. 67PCh. 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 - SSM In Fig. 11-60, a constant horizontal force...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 - Wheels A and B in Fig. 11-61 are connected by a...Ch. 11 - Prob. 80PCh. 11 - SSM A uniform wheel of mass 10.0 kg and radius...Ch. 11 - A uniform rod rotates in a horizontal plane about...Ch. 11 - A solid sphere of weight 36.0 N rolls up an...Ch. 11 - Suppose that the yo-yo in Problem 17, instead of...Ch. 11 - A girl of mass M stands on the rim of a...Ch. 11 - Prob. 86P
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- Rotational Inertia Problems 5 and 6 are paired. 5. N A system consists of four boxes modeled as particles connected by very lightweight, stiff rods (Fig. P13.5). The system rotates around the z axis, which points out of the page. Each particle has a mass of 5.00 kg. The distances from the z axis to each particle are r1 = 32.0 cm, r2 = 16.0 cm, r3 = 17.0 cm, and r4 = 34.0 cm. Find the rotational inertia of the system around the z axis. 6. N Use the information in Problem 5 to find the rotational inertia of the system around particle 1. FIGURE P13.5 Problems 5 and 6.arrow_forwardIf the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?arrow_forwardIn unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -8.18 m, 7.97 m) due to (a) force F with components F1x= 5.56 N and F1y = F1z = 0, and (b) force F 2 with components F2x = 0, F2y= 9.63 N, F2z = 6.06 N? %D (a) Number i i i k Units (b) Number i i i k Units +arrow_forward
- In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -9.26 m, 9.88 m) due to (a) force F→1 with components F1x = 8.49 N and F1y = F1z = 0, and (b) force F→2 with components F2x = 0, F2y = 3.94 N, F2z = 8.39 N?arrow_forwardProblem 2: A wheel with radius r= 1.8 m has a tangential force F = 14.2 N acting on it as shown. F Part (a) What is the magnitude of the torque about the center of the wheel, in N•m? N•m sin() cos() tan() 7 8 9 НОMЕ cotan() asin() acos() E ↑^^| 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees Radians VO BACKSPАСЕ DEL CLEAR Part (b) What is the direction of the torque?arrow_forwardtwo particles A and B at xyz coordinates (1 m, 1 m, 0) and (1 m, 0, 1 m). Acting on each particle are three numbered forces, all of the same magnitude and each directed parallel to an axis. (a) Which of the forces produce a torque about the origin that is directed parallel to y? (b) Rank the forces according to the magnitudes of the torques they produce on the particles about the origin, greatest firstarrow_forward
- Magnitude and direction of torque for each case?arrow_forwardForce F = (5.58 N)î – (6.71 N )k acts on a pebble with position vector 7 = (2.79 m ) – (7.59 m ) k, relative to the origin. - What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (3.43 m, 0, -3.30 m)? (a) Number i i k Units (b) Number i i i k Unitsarrow_forwardacts on a pebble with position vector 7 = (1.92 m ) – (5.98 m )ê, re ), relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (8.32 m, 0, -7.80 m)? Force F = (4.70 N ) - (5.35 Nac (a) Number (b) Number i + i + k Units k Unitsarrow_forward
- 31 In Fig. 11-42, a 0.400 kg ball is shot directly upward at initial speed 40.0 m/s. What is its angular momentum about P, 2.00 m horizontally from the launch point, when the ball is (a) at Figure 11-42 Problem 31. maximum height and (b) halfway back to the ground? What is the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? Ballarrow_forwardForce F = (-7.0 N)î + (5.0 N) ĵ acts on a particle with position vector7 = (4.0 m)î + (5.0 m) ĵ. (a) What is the torque on the particle about the origin, in unit-vector notation? = N: m (b) What is the angle between the directions of r and Torque is the cross product of a position vector (extending from a chosen point, here the origin, to the particle) and a force vector. Did you take the cross product in unit-vector notation? Do you remember how find the angle between two vectors by taking a dot product in both unit-vector notation and also in magnitude-angle notation? (You can similarly use a cross product to do this.) Do you remember how to find the magnitude of a vector from its components?arrow_forwardIn unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force F→1 = (9.7 N) î - (4.8 N) ĵ + (5.3 N) k̂ ((a), (b) and (c) for î , ĵ and k̂ components respectively), force F→2 = (-9.7 N) î - (4.8 N) ĵ - (5.3 N) k̂ ((d), (e) and (f) for î , ĵ and k̂ components respectively), and the vector sum of F→1 and F→2 ((g), (h) and (i) for î , ĵ and k̂ components respectively)? Repeat previous part for the torque about the point with coordinates (3.0 m, 2.0 m, 4.0 m) ((j), (k) and (l) for î , ĵ and k̂ components respectively).arrow_forward
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