University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)

14th Edition

ISBN: 9780321982582

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

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Textbook Question

Chapter 9, Problem 9.22E

You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise, (a) What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s², what should the angular acceleration of the axle be?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Chapter 9, Problem 9.21E

Chapter 9, Problem 9.23E

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Please help me on the following question (Please refer to image below)An Olympic lifter (m = 103kg) is holding a lift with a mass of 350 kg. The barexerts a purely vertical force that is equally distributed between both hands. Each arm has amass of 9 kg, are 0.8m long and form a 40° angle with the horizontal. The CoM for each armis 0.5 m from hand. Assuming the lifter is facing us in the diagram below, his right deltoidinserts 14cm from the shoulder at an angle of 13° counter-clockwise from the humerus.A) You are interested in calculating the force in the right deltoid. Draw a free body diagramof the right arm including the external forces, joint reaction forces, a coordinate system andstate your assumptions.B) Find the force exerted by the right deltoidC) Find the shoulder joint contact force. Report your answer using the magnitude and directionof the shoulder force vector.

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Question 6: Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl₂ gas is 8.70 L at 895 torr and 24°C. (a) How many grams of Cl₂ are in the sample? ⚫ Atomic mass of CI = 35.453 g/mol • Molar mass of Cl₂ = 2 x 35.453 = 70.906 g/mol Solution: Use the Ideal Gas Law: Step 1: Convert Given Values • Pressure: P = 895 torr → atm PV= = nRT 1 P = 895 × = 1.1789 atm 760 • Temperature: Convert to Kelvin: T24273.15 = 297.15 K • Gas constant: R = 0.0821 L atm/mol. K Volume: V = 8.70 L Step 2: Solve for n . PV n = RT n = (1.1789)(8.70) (0.0821)(297.15) 10.25 n = = 0.420 mol 24.405 Step 3: Calculate Mass of Cl₂ Final Answer: 29.78 g of Cl₂. mass nx M mass= (0.420)(70.906) mass= 29.78 g

Chapter 9 Solutions

University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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. 9.3TYU Ch. 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. 9.53E Ch. 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. 9.82P Ch. 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. 9.85P Ch. 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)...

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