University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem Q10.5DQ
When an acrobat walks on a tightrope, she extends her arms straight out from her sides. She does this to make it easier for her to catch herself if she should tip to one side or the other. Explain how this works. [Hint: Think about Eq. (10.7).]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Three forces try to rotate a seesaw. For d₁ = 50 cm, d₂ = 30 cm, d3 = 60 cm, 0 = 15°, 30°,
|F₁| = 180 N₁ |F₂| = 80 N, and |F3|= 120 N.
(a) Find the moment arm for each of these forces.
(b) Determine the magnitude and direction of torque that each force exert on the wheel.
(c) Find (both the magnitude and the direction of) the net torque on the seesaw.
F₁
F2
d₁
d₂
dz
F3
"A playground merry-go-round of radius R = 2.00 m has a moment of inertia I= 250 kg m and is
rotating at 10 rev/min about a frictionless, vertical axle. Facing the axle, a 25 kg child hops onto the
merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-
round? (7.14 rev/min)
"The masses and coordinates of four particles are as follows: 50 g, x = 2.0 cm, y = 2.0 cm; 25 g, x = 0, y= 4.0 cm; 25 g, x=-3.0 cm, y=-3.0 cm; 30 g, x=-2.0 cm, y = 4.0 cm. What are the rotational inertias of this collection about the (a) x, (b) y, and (c) z axes? (d) Suppose that we symbolize the answers to (a) and (b) as A and B, respectively. Then what is the answer to (c) in terms of A and B?"
Chapter 10 Solutions
University Physics (14th Edition)
Ch. 10 - Can a single force applied to a body change both...Ch. 10 - Suppose you could use wheels of any type in the...Ch. 10 - Serious bicyclists say that if you reduce the...Ch. 10 - The harder you hit the brakes while driving...Ch. 10 - When an acrobat walks on a tightrope, she extends...Ch. 10 - When you turn on an electric motor, it takes...Ch. 10 - The work done by a force is the product of force...Ch. 10 - A valued client brings a treasured ball to your...Ch. 10 - You make two versions of the same object out of...Ch. 10 - Two identical masses are attached to frictionless...
Ch. 10 - The force of gravity acts on the baton in Fig....Ch. 10 - A certain solid uniform bail reaches a maximum...Ch. 10 - A wheel is rolling without slipping on a...Ch. 10 - A hoop, a uniform solid cylinder, a spherical...Ch. 10 - A ball is rolling along al speed without slipping...Ch. 10 - You are standing at the center of a large...Ch. 10 - Global Warming. If the earths climate continues to...Ch. 10 - It two spinning objects have the same angular...Ch. 10 - A student is sitting on a frictionless rotating...Ch. 10 - A point particle travels in a straight line at...Ch. 10 - In Example 10.10 (Section 10.6) the angular speed ...Ch. 10 - In Example 10.10 (Section 10.6) the rotational...Ch. 10 - As discussed in Section 10.6, the angular momentum...Ch. 10 - If you stop a spinning raw egg for the shortest...Ch. 10 - A helicopter has a large main rotor that rotates...Ch. 10 - In a common design for a gyroscope, the flywheel...Ch. 10 - A gyroscope is precessing about a vertical axis....Ch. 10 - A gyroscope takes 3.8 s to precess 1.0 revolution...Ch. 10 - A gyroscope is precessing as in Fig. 10.32. What...Ch. 10 - A bullet spins on its axis as it emerges from a...Ch. 10 - Calculate the torque (magnitude and direction)...Ch. 10 - Calculate the net torque about point O for the two...Ch. 10 - A square metal plate 0.180m on each side is...Ch. 10 - Three forces are applied to a wheel of radius...Ch. 10 - One force acting on a machine part is...Ch. 10 - A metal bar is in the xy-plane with one end of the...Ch. 10 - A machinist is using a wrench lo loosen a nut. The...Ch. 10 - A uniform disk with mass 40.0 kg and radius 0.200...Ch. 10 - The flywheel of an engine has moment of inertia...Ch. 10 - A cord is wrapped around ihe rim of a solid...Ch. 10 - A machine part has the shape of u solid uniform...Ch. 10 - CP A stone is suspended from the free end of a...Ch. 10 - Prob. 10.13ECh. 10 - CP A 15.0-kg bucket of water is suspended by a...Ch. 10 - A wheel rotates without friction about a...Ch. 10 - A 12.0-kg box resting on a horizontal,...Ch. 10 - A 2.20-kg hoop 1.20 m in diameter is rolling to...Ch. 10 - BIO Gymnastics. We can roughly model a gymnastic...Ch. 10 - What fraction of the total kinetic energy is...Ch. 10 - A siring is wrapped several times around the rim...Ch. 10 - A solid ball is released from rest and slides down...Ch. 10 - A hollow, spherical shell with mass 2.00 kg rolls...Ch. 10 - A 392-N wheel comes off a moving truck and rolls...Ch. 10 - A uniform marble rolls down a symmetrical bowl,...Ch. 10 - A thin, light string is wrapped around the outer...Ch. 10 - A Ball Rolling Uphill. A bowling ball rolls...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A playground merry-go-round has radius 2.40 m and...Ch. 10 - An engine delivers 175 hp to an aircraft propeller...Ch. 10 - A 2.80-kg grinding wheel is in the form of a solid...Ch. 10 - An electric motor consumes 9.00 kJ of electrical...Ch. 10 - (a) Compute the torque developed by an industrial...Ch. 10 - An airplane propeller is 2.08 m in length (from...Ch. 10 - A 2.00-kg rock has a horizontal velocity of...Ch. 10 - A woman with mass 50 kg is standing on the rim of...Ch. 10 - Find the magnitude of the angular momentum of the...Ch. 10 - (a) Calculate the magnitude of the angular...Ch. 10 - CALC A hollow, thin-walled sphere of mass 12.0 kg...Ch. 10 - CP A small block on a frictionless, horizontal...Ch. 10 - Prob. 10.41ECh. 10 - A diver comes off a board with arms straight up...Ch. 10 - The Spinning Figure Skater. The outstretched hands...Ch. 10 - A solid wood door 1.00 m wide and 2.00 m high is...Ch. 10 - A large wooden turntable in the shape of a flat...Ch. 10 - Asteroid Collision! Suppose that an asteroid...Ch. 10 - Prob. 10.47ECh. 10 - A thin uniform rod has a length of 0.500 m and is...Ch. 10 - A thin, uniform metal bar. 2.00 m long and...Ch. 10 - A uniform. 4.5-kg, square, solid wooden gate 1.5 m...Ch. 10 - The rotor (flywheel) of a loy gyroscope has mass...Ch. 10 - A Gyroscope on the Moon. A certain gyroscope...Ch. 10 - Stabilization of the Hubble Space Telescope. The...Ch. 10 - A 50.0-kg grindstone is a solid disk 0.520 m in...Ch. 10 - 10.55A grindstone in the shape of a solid disk...Ch. 10 - A thin, uniform. 3.80-kg bar, 80.0 cm long, has...Ch. 10 - You are designing a simple elevator system for an...Ch. 10 - The Atwoods Machine. Figure P10.59 illustrates an...Ch. 10 - The mechanism shown in Fig. P10.60 is used to...Ch. 10 - A large 16.0-kg roll of paper with radius R = 18.0...Ch. 10 - A block with mass m = 5.00 kg slides down a...Ch. 10 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 10 - A lawn roller in the form of a thin-walled, hollow...Ch. 10 - Two weights are connected by a very light,...Ch. 10 - You complain about fire safety to the landlord of...Ch. 10 - The Yo-yo. A yo-yo is made from two uniform disks,...Ch. 10 - CP A thin-walled, hollow spherical shell of mass m...Ch. 10 - A basketball (which can be closely modeled as a...Ch. 10 - CP A solid uniform ball rolls without slipping up...Ch. 10 - Rolling Stones. A solid, uniform, spherical...Ch. 10 - You are designing a system for moving aluminum...Ch. 10 - A 42.0-cm-diameter wheel, consisting of a rim and...Ch. 10 - A uniform, 0.0300-kg rod of length 0.400 in...Ch. 10 - A uniform solid cylinder with mass M and radius 2R...Ch. 10 - Tarzan and Jane in the 21st Century. Tarzan has...Ch. 10 - A 5.00-kg ball is dropped from a height of 12.0 m...Ch. 10 - The solid wood door of a gymnasium is 1.00 m wide...Ch. 10 - A uniform rod of length L rests on a friction less...Ch. 10 - CP A large turntable with radius 6.00 m rotates...Ch. 10 - In your job as a mechanical engineer you are...Ch. 10 - A local ice hockey team has asked you to design an...Ch. 10 - You are designing a slide for a water park. In a...Ch. 10 - Neutron Star Glitches. Occasionally, a rotating...Ch. 10 - A 500.0-g bird is flying horizontally at 2.25 m/s,...Ch. 10 - CP A small block with mass 0.130 kg is attached to...Ch. 10 - A 55-kg runner runs around the edge of a...Ch. 10 - DATA The V6 engine in a 2014 Chevrolet Silverado...Ch. 10 - DATA You have one object of each of these shapes,...Ch. 10 - DATA You are testing a small flywheel (radius...Ch. 10 - Prob. 10.91CPCh. 10 - When an object is rolling without slipping, the...Ch. 10 - A demonstration gyroscope wheel is constructed by...Ch. 10 - The moment of inertia of the empty turntable is...Ch. 10 - While the turntable is being accelerated, the...Ch. 10 - A doubling of the torque produces a greater...Ch. 10 - If the bodys center of mass were not placed on the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
A 2000-turn solenoid is 2.0 m long and 15 cm in diameter. The solenoid current is increasing at 1.0 kA/s. (a) F...
Essential University Physics: Volume 2 (3rd Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
86. In what sense can a transformer be viewed as an electrical lever? What does it multiply? What does it not m...
Conceptual Physical Science (6th Edition)
Find the following for path A in Figure 2.59: (a) The distance traveled. (b) The magnitude of the displacement ...
College Physics
An elevator suspended by a cable is descending at constant velocity. How many force vector would be shown on ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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
- You stand on a frictional platform that is rotating at 1.6 rev/s. Your arms are outstretched, and you hold a heavy weight in each hand. The moment of inertia of you, the extended weights, and the platform is 7.9 kg · m2. When you pull the weights in toward your body, the moment of inertia decreases to 3.7 kg · m2. (a) What is the resulting angular speed of the platform?(b) What is the change in kinetic energy of the system?(c) Where did this increase in energy come from? (Select all that apply.) -your internal energy -gravity -kinetic energy of the platform -mass of the weights -air resistancearrow_forwardWhile exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 12.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m2, the muscle force is 1470 N, and its effective perpendicular lever arm is 3.50 cm. Find the magnitude of the angular acceleration a of the weight. a = rad/s? How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle? W = Jarrow_forwardWhile exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 13.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m², the muscle force is 1470 N, and its effective perpendicular lever arm is 3.55 cm. Find the magnitude of the angular acceleration a of the weight. a = rad/s? Fow much work W is done if the leg rotates through an angle of 20.0° with a constant force exerted by the muscle? W = JIarrow_forward
- While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 10.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m², the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. 26.6 rad/s2 How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle? W : 7.99 Jarrow_forwardhello. only number 3 pleasearrow_forwardA high-wire walker always attempts to keep his center of mass over the wire (or rope). He normally carries a long, heavy pole to help: If he leans, say, to his right (his com moves to the right) and is in danger of rotating around the wire, he moves the pole to his left (its com moves to the left) to slow the rotation and allow himself time to adjust his balance. Assume that the walker has a mass of 70.0 kg and a rotational inertia of about the wire.What is the magnitude of his angular acceleration about the wire if his com is 5.0 cm to the right of the wire and (a) he carries no pole and (b) the 14.0 kg pole he carries has its com 10 cm to the left of the wire?arrow_forward
- A machine part rotates at an angular speed of 0.060 rad/s; its speed is then increased to 2.2 rad/s at an angular acceleration of 0.70 rad/s2. (a) Find the angle through which the part rotates before reaching this final speed. (b) If both the initial and final angular speeds are doubled and the angular acceleration remains the same, by what factor is the angular displacement changed? Why?arrow_forwardA gymnast on the uneven parallel bars is at rest, tipped at a 45° angle from the vertical. The distance from her hands to her feet is 1.8 m. If we model her body as having a uniform cross section and assume that her center of gravity is midway between her hands and her feet, what is her initial angular acceleration?arrow_forwardThe antarctic ice has a volume of 26.37 million cubic kilometers. It does not contribute to the earth’s moment of inertia so close to the rotation axis. However, if it melts and distributes evenly at the surface, the inertia is modified. Consequently, the rotation time of the earth changes. How much shorter or longer will a day become? Keep in mind that 10% of floating ice is above the water surface; water has a density of 1 kg/dm3. The total mass of the earth is 6.4*1024 kg, its radius is 6370 kmarrow_forward
- A particle is located at r = (4.0i+3.5j+6.0k), A force F= (9.0j-4.0k) N acts on it. What is the torque calculated about the origin?arrow_forwardThe wheels on a moving bicycle have both translational (or linear) and rotational motions. What is meant by the phrase “a rigid body, such as a bicycle wheel, is in equilibrium”? (a) The body cannot have translational or rotational motion of any kind. (b) The body can have translational motion, but it cannot have rotational motion. (c) The body cannot have translational motion, but it can have rotational motion. (d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.arrow_forwardJohn is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 0 = 20.0° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 407 N is exerted at the center of the wheel, which has a radius of 18.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) & (a) What force (in N) must John apply along the handles to just start the wheel over the brick? 1690.53 X Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) What is the force (magnitude in kN and direction in degrees clockwise from the -x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude KN direction ° clockwise from the -x-axisarrow_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
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY