University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 9.72P
A physics student of mass 43.0 kg is standing at the edge of the flat roof of a building, 12.0 m above the sidewalk. An unfriendly dog is running across the roof toward her. Next to her is a large wheel mounted on a horizontal axle at its center. The wheel, used to lift objects from the ground to the roof, has a light crank attached to it and a light rope wrapped around it; the free end of the rope hangs over the edge of the roof. The student grabs the end of the rope and steps off the roof. If the wheel has radius 0.300 m and a moment of inertia of 9.60 kg · m2 for rotation about the axle, how long does it take her to reach the sidewalk, and how- fast will she be moving just before she lands? Ignore friction.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An object of 50.5 N is attached to the free end of a light string wrapped around a reel with a radius of 0.250 m and mass of 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center. The suspended object is released 5.50 m above the floor.(a) Determine the tension in the string, the acceleration of the object, and the speed with which the object hits the floor.
The top edge of a thin rectangular metal plate with a mass of 2.60 kg is attached to a horizontal rod parallel to the edge of the plate. The plate hangs from this rod and is free to rotate about it without friction. The vertical height of the plate is 45.0 cm. The plate is pulled to the right until it makes an angle of 28.0° from vertical and then released from rest. At the same time, a piece of clay is tossed at the plate, moving to the right. At the moment the plate reaches vertical, moving left, it collides with the clay. The piece of clay strikes the plate at its bottom edge, moving to the right perpendicular to the plate at the moment of impact. Its mass is 380 g and its speed just before impact is 160 cm/s. The clay sticks to the plate after impact.
(a)
What is the angular speed (in rad/s) of the plate the instant before it collides with the clay? (Round your answer to at least two decimal places.)
rad/s
(b)
What is the angular speed (in rad/s) of the plate-clay system…
A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her
outstretched hands are 0.745 m from the axis of rotation, which passes through her head into the center of the stool. When she
symmetrically pulls the weights in closer to her body, her angular speed increases to 40.5 rpm. Neglecting the mass of the
professor, how far are the weights from the rotational axis after she pulls her arms in?
distance:
about us
careers
privacy policy
terms of use
contact us
help
tv
W
MacBook Air
8828
Chapter 9 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 9.1 - The figure shows a graph of z and z versus time...Ch. 9.2 - Suppose the disc in Example 9.3 was initially...Ch. 9.3 - Prob. 9.3TYUCh. 9.4 - Suppose the cylinder and block in Example 9.8 have...Ch. 9.5 - A pool cue is a wooden rod of uniform composition...Ch. 9.6 - Two hollow cylinders have the same inner and outer...Ch. 9 - Which of the following formulas is valid if the...Ch. 9 - A diatomic molecule can be modeled as two point...Ch. 9 - What is the difference between tangential and...Ch. 9 - In Fig. Q9.4, all points on the chain have the...
Ch. 9 - In Fig. Q9.4, how are the radial accelerations of...Ch. 9 - A flywheel rotates with constant angular velocity....Ch. 9 - What is the purpose of the spin cycle of a washing...Ch. 9 - You are designing a flywheel to store kinetic...Ch. 9 - Can you think of a body that has the same moment...Ch. 9 - To maximize the moment of inertia of a flywheel...Ch. 9 - How might you determine experimentally the moment...Ch. 9 - A cylindrical body has mass M and radius R. Can...Ch. 9 - Describe how you could use part (b) of Table 9.2...Ch. 9 - A hollow spherical shell of radius R that is...Ch. 9 - For the equations for I given in parts (a) and (b)...Ch. 9 - In part (d) of Table 9.2, the thickness of the...Ch. 9 - Two identical balls, A and B, are each attached to...Ch. 9 - An elaborate pulley consists of four identical...Ch. 9 - You can use any angular measureradians, degrees,...Ch. 9 - When calculating the moment of inertia of an...Ch. 9 - A wheel is rotating about an axis perpendicular to...Ch. 9 - Estimate your own moment of inertia about a...Ch. 9 - (a) What angle in radians is subtended by an are...Ch. 9 - An airplane propeller is rotating at 1900 rpm...Ch. 9 - CP CALC The angular velocity of a flywheel obeys...Ch. 9 - CALC A fan blade rotates with angular velocity...Ch. 9 - CALC A child is pushing a merry-go-round. The...Ch. 9 - CALC At t = 0 the current to a dc electric motor...Ch. 9 - CALC The angle through which a disk drive turns...Ch. 9 - A wheel is rotating about an axis that is in the...Ch. 9 - A bicycle wheel has an initial angular velocity of...Ch. 9 - An electric fan is turned off, and its angular...Ch. 9 - The rotating blade of a blender turns with...Ch. 9 - (a) Derive Eq. (9.12) by combining Eqs. (9.7) and...Ch. 9 - A turntable rotates with a constant 2.25 rad/s2...Ch. 9 - A circular saw blade 0.200 m in diameter starts...Ch. 9 - A high-speed flywheel in a motor is spinning at...Ch. 9 - At t = 0 a grinding wheel has an angular velocity...Ch. 9 - A safety device brings the blade of a power mower...Ch. 9 - In a charming 19th-century hotel, an old-style...Ch. 9 - Using Appendix F, along with the fact that the...Ch. 9 - Compact Disc. A compact disc (CD) stores music in...Ch. 9 - A wheel of diameter 40.0 cm starts from rest and...Ch. 9 - You are to design a rotating cylindrical axle to...Ch. 9 - A flywheel with a radius of 0.300 m starts from...Ch. 9 - An electric turntable 0.750 m in diameter is...Ch. 9 - Centrifuge. An advertisement claims that a...Ch. 9 - At t = 3.00 s a point on the rim of a...Ch. 9 - Electric Drill. According to the shop manual, when...Ch. 9 - Four small spheres, each of which you can regard...Ch. 9 - Calculate the moment of inertia of each of the...Ch. 9 - Calculate the moment of inertia of each of the...Ch. 9 - A uniform bar has two small balls glued to its...Ch. 9 - You are a project manager for a manufacturing...Ch. 9 - A wagon wheel is constructed as shown in Fig....Ch. 9 - An airplane propeller is 2.08 m in length (from...Ch. 9 - A compound disk of outside diameter 140.0 cm is...Ch. 9 - A wheel is turning about an axis through its...Ch. 9 - A uniform sphere with mass 28.0 kg and radius...Ch. 9 - A hollow spherical shell has mass 8.20 kg and...Ch. 9 - The flywheel of a gasoline engine is required to...Ch. 9 - You need to design an industrial turntable that is...Ch. 9 - Energy is to be stored in a 70.0-kg flywheel in...Ch. 9 - A light, flexible rope is wrapped several times...Ch. 9 - A frictionless pulley has the shape of a uniform...Ch. 9 - A bucket of mass m is tied to a massless cable...Ch. 9 - CP A thin, light wire is wrapped around the rim of...Ch. 9 - A uniform 2.00-m ladder of mass 9.00 kg is leaning...Ch. 9 - How I Scales. If we multiply all the design...Ch. 9 - Find the moment of inertia of a hoop (a...Ch. 9 - About what axis will a uniform, balsa-wood sphere...Ch. 9 - (a) For the thin rectangular plate shown in part...Ch. 9 - A thin. rectangular sheet of metal has mass M and...Ch. 9 - A thin uniform rod of mass M and length L is bent...Ch. 9 - Prob. 9.53ECh. 9 - CALC Use Eq. (9.20) to calculate the moment of...Ch. 9 - CALC A slender rod with length L has a mass per...Ch. 9 - CALC A uniform disk with radius R = 0.400 m and...Ch. 9 - CP A circular saw blade with radius 0.120 m starts...Ch. 9 - CALC A roller in a printing press turns through an...Ch. 9 - CP CALC A disk of radius 25.0 cm is free to turn...Ch. 9 - You are designing a rotating metal flywheel that...Ch. 9 - You must design a device for shooting a small...Ch. 9 - Engineers are designing a system by which a...Ch. 9 - A vacuum cleaner bell is looped over a shaft of...Ch. 9 - The motor of a table saw is rotating at 3450...Ch. 9 - While riding a multispeed bicycle, the rider can...Ch. 9 - A computer disk drive is turned on starting from...Ch. 9 - It has been argued that power plants should make...Ch. 9 - A uniform disk has radius R0 and mass M0. Its...Ch. 9 - Measuring I. As an intern at an engineering firm,...Ch. 9 - A uniform, solid disk with mass m and radius R is...Ch. 9 - CP A meter stick with a mass of 0.180 kg is...Ch. 9 - A physics student of mass 43.0 kg is standing at...Ch. 9 - A slender rod is 80.0 cm long and has mass 0.120...Ch. 9 - Exactly one turn of a flexible rope with mass m is...Ch. 9 - The pulley in Fig. P9.75 has radius R and a moment...Ch. 9 - The pulley in Fig. P9.76 has radius 0.160 m and...Ch. 9 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 9 - A thin, light wire is wrapped around the rim of a...Ch. 9 - In the system shown in Fig. 9.17, a 12.0-kg mass...Ch. 9 - In Fig. P9.80, the cylinder and pulley turn...Ch. 9 - BIO The Kinetic Energy of Walking. If a person of...Ch. 9 - Prob. 9.82PCh. 9 - 810 Human Rotational Energy. A dancer is spinning...Ch. 9 - A thin, uniform rod is bent into a square of side...Ch. 9 - Prob. 9.85PCh. 9 - CALC Neutron Stars and Supernova Remnants. The...Ch. 9 - DATA A technician is testing a...Ch. 9 - DATA You are analyzing the motion of a large...Ch. 9 - DATA You are rebuilding a 1965 Chevrolet. To...Ch. 9 - CALC Calculate the moment of inertia of a uniform...Ch. 9 - CALC On a compact disc (CD), music is coded in a...Ch. 9 - BIO THE SPINNING EEL.American eels (Anguilla...Ch. 9 - BIO THE SPINNING EEL. American eels (Anguilla...Ch. 9 - BIO THE SPINNING EEL.American eels (Anguilla...Ch. 9 - THE SPINNING EEL.American eels (Anguilla rostrata)...
Additional Science Textbook Solutions
Find more solutions based on key concepts
34.36 A lensmaker wants to make a magnifying glass from glass that has an index of refraction n = 1.55 and a f...
University Physics (14th Edition)
22. A rock is tossed straight up from ground level with a speed of 20 m/s. When it returns, it falls into a hol...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Give an example of a process in which no heat is added to a system, but its temperature increases. Then give an...
An Introduction to Thermal Physics
Much of The 935 near the Sun is atomic hydrogen. Its temperature would have to be 1.5107K for the average veloc...
College Physics
The transfer of energy to matter from electromagnetic waves.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
A scuba diver releases a 3.60-cm-diameter (spherical) bubble of air from a depth of 14.0 m. Assume the temperat...
Physics for Scientists and Engineers with Modern Physics
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
- An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in Figure P10.37. The flywheel is a solid disk with a mass of 80.0 kg and a radius R = 0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of r = 0.230 m. The tension Tu in the upper (taut) segment of the belt is 135 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2. Find the tension in the lower (slack) segment of the belt. Figure P10.37arrow_forwardWhy is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.arrow_forwardA professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.785 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 32.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in? distance:arrow_forward
- A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.735 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 36.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?arrow_forwardA small ball of mass 740.0 g is placed in a tube that is bent into a circular arc of radius R= 67.5 cm.The friction between the ball and the walls of the tube is negligible. The ball has an iron core. A magnet is used to raise the ball until it makes an angle of 5.00 degrees with the vertical, and then released from rest. Where will the ball be 1.20 seconds after being released? Express your answer in terms of the angle,θ, that the ball makes with the vertical.arrow_forwardA 1.0- kg mass is attached to a string wrapped around a shaft of negligible mass and having a 8.0- cm radius. A dumbbell-shaped "flywheel" made from two 0.500- kg masses is attached to one end of the shaft and perpendicular to its axis (see the figure). The mass is released from rest and allowed to fall 0.9 m to the floor. It reaches a speed of 1.4361 m/s just before striking the floor. How far apart are the masses of the dumbbell?arrow_forward
- Penny is adjusting the position of a stand up piano of mass mp = 150 kg in her living room. The piano is lp = 1.6 m in length. The piano is currently at an angle of θp = 45 degrees to the wall. Penny wants to rotate the piano across the carpeted floor so that it is flat up against the wall. To move the piano, Penny pushes on it at the point furthest from the wall. This piano does not have wheels, so you can assume that the friction between the piano and the rug acts at the center of mass of the piano.Randomized Variables mp = 150 kglp = 1.6 mθp = 45 degrees a) Write an expression for the minimum magnitude of the force Fs in N Penny needs to exert on the piano to get it moving. Assume the corner of the piano on the wall doesn't slide and the static friction between the rug and the piano is μs. Fs,min = b) The coefficient of kinetic friction between the carpet and the piano is μk = 0.27. Once the piano starts moving, calculate the torque τp in N⋅m that Penny needs to apply to keep…arrow_forwardA uniform rod with a mass of 100 g and a length of 50.0 cm rotates in a horizontal plane about a fixed vertical, frictionless pin passing through the center of the rod. Two small beads, each having a mass of 30.0 g, are mounted on the rod so that they are able to slide without friction along its length. Initially, the beads are held by catches at positions 10.0 cm on each side of the rod’s center; at this time, the system rotates at an angular speed of 20.0 rad/s. Suddenly, the catches are released, and the small beads slide outward along the rod. Find (a) the angular speed of the system at the instant the beads reach the end of the rod and (b) the angular speed of the rod after the beads fly off the rod’s ends.arrow_forwardA thin, light wire is wrapped around the rim of a wheel. The wheel rotates without friction about a stationary horizontal axis that passes through the center of the wheel. The wheel is a uniform disk with radius 0.290 m. An object of mass 4.05 kg is suspended from the free end of the wire. The system is released from rest and the suspended object descends with constant acceleration. If the suspended object moves downward a distance of 3.40 m in 2.15 s, what is the mass of the wheel?arrow_forward
- An object (with mass m = 6.20 kg) is attached to the free end of a massless string wrapped around a reel of radius R = 0.550 m and mass M = 4.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center, as shown in the figure. The suspended object is released from rest 3.50 m above the floor. Calculate the magnitude of the acceleration (in m/s2) of the object. Round your answer to 2 decimal places.Note: I=1/2 MR^2arrow_forwardA professor sits on a rotating stool that is spinning at 10.0 while she holds a heavy weight in each of her hands. Her outstretched hands are 0.765 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?arrow_forwardA 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License