Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 42EAP
What are the magnitude and direction of the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
What is the angular momentum relative to the origin of the 240 g particle in the picture.
Hi, in physics I they have The earth's radius is 6.37×106m; it rotates once every 24 hours.
I have already found the angular speed
ω= 7.3×10−5 rad/s and the point on the equator v= 460 ms.
What I'm trying to understand is what is the speed of a point on the earth's surface located at 2/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)
=
3. Angular Momentum of Point Particle: The relation only holds for a symmetric object rotating about its
axis of symmetry. For a point mass traveling in a line, the angular momentum is 1=7 xp where is the
vector from the axis of rotation to the particle and p = m is the momentum of the particle.¹
An astronaut of mass M travels with speed toward a
spinning satellite of mass 10M and radius R which is
rotating with angular speed wo. The astronaut grabs
onto the edge of the satellite and holds on. The moment
of inertia of a solid sphere of mass m and radius r
through its center of mass is 2mr²/5.
M
10M,
R, Wo
a. What is the magnitude and direction (in or out) of the angular momentum of the astronaut before the
astronaut grabs onto the satellite? Take the axis of rotation to be at the center of the satellite and treat the
astronaut as a point mass. Hint: although r and changes the lever arm will stay the same. Therefore, using
the lever arm will be the easiest way to calculate the…
Chapter 12 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 12 - Prob. 1CQCh. 12 - If the angular velocity w is held constant, by...Ch. 12 - FIGURE Q12.3 shows three rotating disks, all of...Ch. 12 - 4. Must an object be rotating to have a moment of...Ch. 12 - 5. The moment of inertia of a uniform rod about an...Ch. 12 - 6. You have two solid steel spheres. Sphere 2 has...Ch. 12 - The professor hands you two spheres. They have the...Ch. 12 - Six forces are applied to the door in FIGURE...Ch. 12 - Prob. 9CQCh. 12 - Rank in order, from largest to smallest, the...
Ch. 12 - The solid cylinder and cylindrical shell in FIGURE...Ch. 12 - A diver in the pike position (legs straight, hands...Ch. 12 - Prob. 13CQCh. 12 - A high-speed drill reaches 2000 rpm in 0.50 s. a....Ch. 12 - A skater holds her arms outstretched as she spins...Ch. 12 - A ceiling fan with 80-cm-diameter blades is...Ch. 12 - An 18-cm-long bicycle crank arm, with a pedal at...Ch. 12 - Prob. 5EAPCh. 12 - The three masses shown in FIGURE EX12.6 are...Ch. 12 - The three masses shown in FIGURE EX12.7 are...Ch. 12 - A 100 g ball and a 200 g ball are connected by a...Ch. 12 - A thin, 100 g disk with a diameter of 8.0 cm...Ch. 12 - What is the rotational kinetic energy of the...Ch. 12 - The three200g masses in FIGURE EX12.11 are...Ch. 12 - A drum major twirls a 96-cm-long, 400 g baton...Ch. 12 - The four masses shown in FIGURE EX12.13 are...Ch. 12 - The four masses shown in FIGURE EXI2.13 are...Ch. 12 - The three masses shown in FIGURE EXI2.15 are...Ch. 12 - A 12-cm-diameter CD has a mass of 21 g. What is...Ch. 12 - A 25 kg solid door is 220 cm tall, 91 cm wide....Ch. 12 - Prob. 18EAPCh. 12 - In FIGURE EX12.19, what magnitude force provides...Ch. 12 - The 20-cm-diameter disk in FIGURE EX12.20 can...Ch. 12 - The axle in FIGURE EXI2.21 is half the distance...Ch. 12 - A 4.0-rn-long, 500 kg steel beam extends...Ch. 12 - An athlete at the gym holds a 3.0 kg steel ball in...Ch. 12 - An object’s moment of inertia is 2.0 kg m2. Its...Ch. 12 - An object whose moment of inertia is 4.0 kg m2...Ch. 12 - A 1.0 kg ball and a 2.0 kg ball are connected by a...Ch. 12 - Starting from rest, a 12-cm-diameter compact disk...Ch. 12 - A 4.0 kg, 36-cm-diameter metal disk, initially at...Ch. 12 - The two objects in FIGURE EXI2.29 are balanced on...Ch. 12 - Prob. 30EAPCh. 12 - The 3.0-rn-long, 100 kg rigid beam of FIGURE...Ch. 12 - A 5.0 kg cat and a 2.0 kg bowl of tuna fish are at...Ch. 12 - A car tire is 60cm in diameter. The car is...Ch. 12 - A 500 g, 8.0-cm-diameter can is filled with...Ch. 12 - Prob. 35EAPCh. 12 - A solid sphere of radius R is placed at a height...Ch. 12 - Prob. 37EAPCh. 12 - Evaluate the cross products AB and CD .Ch. 12 - Prob. 39EAPCh. 12 - Force F=10j N is exerted on a particle at 5i+5j m....Ch. 12 - A 1.3 kg ball on the end of a lightweight rod is...Ch. 12 - What are the magnitude and direction of the...Ch. 12 - What is the angular momentum vector of the 2.0 kg,...Ch. 12 - Prob. 44EAPCh. 12 - Prob. 45EAPCh. 12 - A 2.0 kg, 20-cm-diameter turntable rotates at 100...Ch. 12 - Prob. 47EAPCh. 12 - A toy gyroscope has a ring of mass M and radius R...Ch. 12 - Prob. 49EAPCh. 12 - Prob. 50EAPCh. 12 - Determine the moment of inertia about the axis of...Ch. 12 - What is the moment of inertia of a 2.0 kg,...Ch. 12 - Calculate by direct integration the moment of...Ch. 12 - Calculate the moment of inertia of the rectangular...Ch. 12 - a. A disk of mass M and radius R has a hole of...Ch. 12 - Consider a solid cone of radius R, height H, and...Ch. 12 - Prob. 57EAPCh. 12 - A 3.0-m-long ladder, as shown in Figure 12.35....Ch. 12 - In FIGURE P12.59, an 80 kg construction worker...Ch. 12 - Prob. 60EAPCh. 12 - Prob. 61EAPCh. 12 - A 120-cm-wide sign hangs from a 5.0 kg,...Ch. 12 - Prob. 63EAPCh. 12 - Flywheels are large, massive wheels used to store...Ch. 12 - of mass m1and m2are connected by a massless string...Ch. 12 - The 2.0 kg, 30-cm-diameter disk in FIGURE P12.66...Ch. 12 - A 30-cm-diameter, 1.2 kg solid turntable rotates...Ch. 12 - Your engineering team has been assigned the task...Ch. 12 - A hollow sphere is rolling along a horizontal...Ch. 12 - A 750 g disk and a 760 g ring, both 15 cm in...Ch. 12 - A cylinder of radius R, length L. and mass M is...Ch. 12 - The 5.0 kg, 60-cm-diameter disk in FIGURE P12.72...Ch. 12 - A thin, uniform rod of length L and mass M is...Ch. 12 - A long, thin rod of mass M and length L is...Ch. 12 - The marble rolls down the track shown in FIGURE...Ch. 12 - sThe sphere of mass M and radius R in FIGURE...Ch. 12 - A satellite follows the elliptical orbit shown in...Ch. 12 - A 10 g bullet traveling at 400 m/s strikes a 10...Ch. 12 - A 200 g, 40-cm-diameter turntable rotates on...Ch. 12 - Luc, who is 1.80 m tall and weighs 950 N, is...Ch. 12 - A merry-go-round is a common piece of playground...Ch. 12 - A 45 kg figure skater is spinning on the toes of...Ch. 12 - Prob. 83EAPCh. 12 - The earth’s rotation axis, which is tilted 23.5...Ch. 12 - sThe bunchberry flower has the fastest-moving...Ch. 12 - The two blocks in FIGURE CP12.86 are connected by...Ch. 12 - A rod of length L and mass M has a nonuniform mass...Ch. 12 - In FIGURE CP12.88, a 200 g toy car is placed on a...Ch. 12 - Prob. 89EAPCh. 12 - A 75 g, 30-cm-long rod hangs vertically on a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path. If the radius of the cyclotron is 0.5 km, (a) What is the angular momentum of the proton about the center at its maximum speed? (b) What is the torque on the proton about the center as it accelerates to maximum speed?arrow_forwardWhat is the magnitude of the angular momentum relative to the origin of the 200 g particle in the figure?arrow_forward1. 5r2 and I have two disks. I know that disk A has a mass per unit area o given by o = disk B has o = 3r3. Each disk has radius 10cm. I have a slope at angle 45 degrees to the horizontal that is 2 m long. I time with a stop watch how long it takes the disks to roll down the slope without slipping. (Assuming that the disk's are let go with zero velocity at the top of the slope). a) Calculate the mass of each disk. [4 marks]arrow_forward
- The two stars in a binary star system have masses 2.0 × 10³⁰ kg and 6.0 × 1030 kg. They are separated by 2.0 × 10¹2m. What are a. The system's rotation period, in years? b. The speed of each star? a. Rotation period of the system is 7.7 × 10³ years.arrow_forward1. A particle accelerator fires a proton (mass 1.67 ×10−27 kg) with initial velocity (1.96 ×107 m/s)ˆı. When the proton enters the target chamber, its position vector is ⃗r = (−0.100 m)ˆı+(2.38 ×10−9 m)ˆȷ relative to the target atom. What is the angular momentum of the proton? 2. After interacting with the target atom, the proton in question 1 is detected moving away from the target at angle 15.0◦relative to the x axis with velocity magnitude 9.82 ×106 m/s, hitting a detector at position ⃗r = (1.00 ×10−1 m)ˆı + (2.68 ×10−2 m)ˆȷ from the original position ofthe target nucleus. Find the angular momentum of the proton after the interaction. 3. If the interaction time between the proton and the target atom in questions 1 and 2 was 1.02 ×10−9 s, find the average torque exerted on the proton by the target atom.arrow_forwardA jet flies straight at a speed of 80 m / s at an altitude of 1300 m above the z surface. The mass of this jet is 1200 kg. What is the angular momentum of the jet to the ground just below its trajectory?arrow_forward
- 1. A particle accelerator fires a proton (mass 1.67 ×10−27 kg) with initial velocity (1.96 ×107 m/s)ˆı. When the proton enters the target chamber, its position vector is ⃗r = (−0.100 m)ˆı+(2.38 ×10−9 m)ˆȷ relative to the target atom. What is the angular momentum of the proton? 2. After interacting with the target atom, the proton in question 1 is detected moving away from the target at angle 15.0◦relative to the x axis with velocity magnitude 9.82 ×106 m/s, hitting a detector at position ⃗r = (1.00 ×10−1 m)ˆı + (2.68 ×10−2 m)ˆȷ from the original position ofthe target nucleus. Find the angular momentum of the proton after the interaction. 3. If the interaction time between the proton and the target atom in questions 1 and 2 was 1.02 ×10−9 s, find the average torque exerted on the proton by the target atom. Please do number 2arrow_forwardA 1840 kg car has just passed a diner. The closest the car came to the diner was R = 32.5 m, but the car has driven %3D another x = 34.7 m in the 2.25 s elapsed since then. If the car travels at constant speed, what is the current magnitude L of R the angular momentum of the car about the diner? L = 4668885 kg-m²/sarrow_forwardConsider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 450 kmkm above the earth's surface; at the high point, or apogee, it is 4500 kmkm above the earth's surface. a. What is the period of the spacecraft's orbit? b. Using conservation of angular momentum, find the ratio of the spacecraft's speed at perigee to its speed at apogee. c.Using conservation of energy, find the speed at perigee and the speed at apogee. Enter your answers numerically separated by a comma. d.It is necessary to have the spacecraft escape from the earth completely. If the spacecraft's rockets are fired at perigee, by how much would the speed have to be increased to achieve this? Δvperigee= e.What if the rockets were fired at apogee? f.Which point in the orbit is more efficient to use?arrow_forward
- I Study Cours VitalS how n Calcul + J online.vitalsource.com/reader/books/9780134704180/pageid/344 nucleus? 75. Il Figure P9.75 shows a 100 g puck revolving at 100 rpm on INT a 20-cm-radius circle on a frictionless table. A string attached 100 g 20 cm to the puck passes through a hole in the middle of the table. The end of the string below the table is then slowly pulled down until the puck is revolving in a 10-cm-radius circle. How many revolutions per minute does the puck make at this new radius? 76. A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and FIGURE P9.75 afterarrow_forwardA 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m from the center of the planet. What is the angular momentum, in kg m2/s, of the satellite, with respect from an axis from the center of the planet, if it completes one orbit every 1.5 × 104 s?arrow_forwardA solid sphere starts from rest and rolls down a slope that is 6.4 m long. If its speed at the bottom of the slope is 5.3 m/s, what is the angle of the slope? O 21° O 18° 31° O cannot be calculated without knowing the mass and radius of the sphere O 12°arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
What is Torque? | Physics | Extraclass.com; Author: Extraclass Official;https://www.youtube.com/watch?v=zXxrAJld9mo;License: Standard YouTube License, CC-BY