Problem Q10.1DQ: Can a single force applied to a body change both its translational and rotational motions? Explain. Problem Q10.2DQ: Suppose you could use wheels of any type in the design of a soapbox-derby racer (an unpowered,... Problem Q10.3DQ: Serious bicyclists say that if you reduce the weight of a bike, it is more effective if you do so in... Problem Q10.4DQ: The harder you hit the brakes while driving forward, the more the front end of your car will move... Problem Q10.5DQ: When an acrobat walks on a tightrope, she extends her arms straight out from her sides. She does... Problem Q10.6DQ: When you turn on an electric motor, it takes longer to come up to final speed if a grinding wheel is... Problem Q10.7DQ: The work done by a force is the product of force and distance. The torque due to a force is the... Problem Q10.8DQ: A valued client brings a treasured ball to your engineering firm, wanting to know whether the ball... Problem Q10.9DQ: You make two versions of the same object out of the same material having uniform density. For one... Problem Q10.10DQ: Two identical masses are attached to frictionless pulleys by very light strings wrapped around the... Problem Q10.11DQ: The force of gravity acts on the baton in Fig. 10.11, and forces produce torques that cause a bodys... Problem Q10.12DQ: A certain solid uniform bail reaches a maximum height h0 when it rolls up a hill without slipping.... Problem Q10.13DQ: A wheel is rolling without slipping on a horizontal surface. In an inertial frame of reference in... Problem Q10.14DQ: A hoop, a uniform solid cylinder, a spherical shell, and a uniform solid sphere are released from... Problem Q10.15DQ: A ball is rolling along al speed without slipping on a horizontal surface when it comes to a hill... Problem Q10.16DQ: You are standing at the center of a large horizontal turntable in a carnival funhouse. The turntable... Problem Q10.17DQ: Global Warming. If the earths climate continues to warm, ice near the poles will melt, and the water... Problem Q10.18DQ: It two spinning objects have the same angular momentum, do they necessarily have the same rotational... Problem Q10.19DQ: A student is sitting on a frictionless rotating stool with her arms outstretched as she holds equal... Problem Q10.20DQ: A point particle travels in a straight line at constant speed, and the closest distance it comes to... Problem Q10.21DQ: In Example 10.10 (Section 10.6) the angular speed changes, and this must mean that there is nonzero... Problem Q10.22DQ: In Example 10.10 (Section 10.6) the rotational kinetic energy of the professor and dumbbells... Problem Q10.23DQ: As discussed in Section 10.6, the angular momentum of a circus acrobat is conserved as she tumbles... Problem Q10.24DQ: If you stop a spinning raw egg for the shortest possible instant and then release it, the egg will... Problem Q10.25DQ: A helicopter has a large main rotor that rotates in a horizontal plane and provides lift. There is... Problem Q10.26DQ: In a common design for a gyroscope, the flywheel and flywheel axis are enclosed in a light,... Problem Q10.27DQ: A gyroscope is precessing about a vertical axis. What happens to the precession angular speed it the... Problem Q10.28DQ: A gyroscope takes 3.8 s to precess 1.0 revolution about a vertical axis. Two minutes later, it takes... Problem Q10.29DQ: A gyroscope is precessing as in Fig. 10.32. What happens if you gently add some weight to the end of... Problem Q10.30DQ: A bullet spins on its axis as it emerges from a rifle. Explain how this prevents the bullet from... Problem 10.1E: Calculate the torque (magnitude and direction) about point O due to the force F in each of the cases... Problem 10.2E: Calculate the net torque about point O for the two forces applied as in Fig. E10.2. The rod and both... Problem 10.3E: A square metal plate 0.180m on each side is pivoted about an axis through point O at its center and... Problem 10.4E: Three forces are applied to a wheel of radius 0.350 m, as shown in Fig. E10.4. One force is... Problem 10.5E: One force acting on a machine part is F=(5.00N)i+(4.00N)j. The vector from the origin to the point... Problem 10.6E: A metal bar is in the xy-plane with one end of the bar at the origin. A force F=(7.00N)i+(3.00N)j is... Problem 10.7E: A machinist is using a wrench lo loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0-N... Problem 10.8E: A uniform disk with mass 40.0 kg and radius 0.200 m is pivoted at its center about a horizontal,... Problem 10.9E: The flywheel of an engine has moment of inertia 1.60 kg m2 about its rotation axis. What constant... Problem 10.10E: A cord is wrapped around ihe rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A... Problem 10.11E: A machine part has the shape of u solid uniform sphere of mass 225 g and diameter 3.00 cm. It is... Problem 10.12E: CP A stone is suspended from the free end of a wire that is wrapped around the outer rim of a... Problem 10.13E Problem 10.14E: CP A 15.0-kg bucket of water is suspended by a very light rope wrapped around a solid uniform... Problem 10.15E: A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A... Problem 10.16E: A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a... Problem 10.17E: A 2.20-kg hoop 1.20 m in diameter is rolling to the right without slipping on a horizontal floor at... Problem 10.18E: BIO Gymnastics. We can roughly model a gymnastic tumbler as a uniform solid cylinder of mass 75 kg... Problem 10.19E: What fraction of the total kinetic energy is rotational for the following objects rolling without... Problem 10.20E: A siring is wrapped several times around the rim of a small hoop with radius 8.00 cm and mass 0.180... Problem 10.21E: A solid ball is released from rest and slides down a hill-side that slopes downward at 65.0 from the... Problem 10.22E: A hollow, spherical shell with mass 2.00 kg rolls without slipping down a 38.0 slope. (a) Find the... Problem 10.23E: A 392-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of... Problem 10.24E: A uniform marble rolls down a symmetrical bowl, starting from rest at the top of the left side. The... Problem 10.25E: A thin, light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.75 kg... Problem 10.26E: A Ball Rolling Uphill. A bowling ball rolls without slipping up a ramp that slopes upward at an... Problem 10.27E: A size-5 soccer ball of diameter 22.6 cm and mass 426 g rolls up a hill without slipping, reaching a... Problem 10.28E: A size-5 soccer ball of diameter 22.6 cm and mass 426 g rolls up a hill without slipping, reaching a... Problem 10.29E: A playground merry-go-round has radius 2.40 m and moment of inertia 2100 kg m2 about a vertical... Problem 10.30E: An engine delivers 175 hp to an aircraft propeller at 2400 rev/min. (a) How much torque does the... Problem 10.31E: A 2.80-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. (a) What constant... Problem 10.32E: An electric motor consumes 9.00 kJ of electrical energy in 1.00 min. If one-third of this energy... Problem 10.33E: (a) Compute the torque developed by an industrial motor whose output is 150 kW at an angular speed... Problem 10.34E: An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 117 kg. When the... Problem 10.35E: A 2.00-kg rock has a horizontal velocity of magnitude 12.0 m/s when it is at point P in Fig. E10.35.... Problem 10.36E: A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about... Problem 10.37E: Find the magnitude of the angular momentum of the second hand on a clock about an axis through the... Problem 10.38E: (a) Calculate the magnitude of the angular momentum the earth in a circular orbit around the sun. Is... Problem 10.39E: CALC A hollow, thin-walled sphere of mass 12.0 kg and diameter 48.0 cm is rotating about an axle... Problem 10.40E: CP A small block on a frictionless, horizontal surface has a mass of 0.0250 kg. It is attached to a... Problem 10.41E Problem 10.42E: A diver comes off a board with arms straight up and legs straight down, giving her a moment of... Problem 10.43E: The Spinning Figure Skater. The outstretched hands and arms of a figure skater preparing for a spin... Problem 10.44E: A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 40.0... Problem 10.45E: A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass... Problem 10.46E: Asteroid Collision! Suppose that an asteroid traveling straight toward the center of the earth were... Problem 10.47E Problem 10.48E: A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The... Problem 10.49E: A thin, uniform metal bar. 2.00 m long and weighing 90.0 N, is hanging vertically from the ceiling... Problem 10.50E: A uniform. 4.5-kg, square, solid wooden gate 1.5 m on each side hangs vertically from a frictionless... Problem 10.51E: The rotor (flywheel) of a loy gyroscope has mass 0.140 kg. Its moment of inertia about its axis is... Problem 10.52E: A Gyroscope on the Moon. A certain gyroscope precesses at a rate of 0.50 rad/s when used on earth.... Problem 10.53E: Stabilization of the Hubble Space Telescope. The Hubble Space Telescope is stabilized to within an... Problem 10.54P: A 50.0-kg grindstone is a solid disk 0.520 m in diameter. You press an ax down on the rim with a... Problem 10.55P: 10.55A grindstone in the shape of a solid disk with diameter 0.520 m and a mass of 50.0 kg is... Problem 10.57P: A thin, uniform. 3.80-kg bar, 80.0 cm long, has very small 2.50-kg balls glued on at either end... Problem 10.58P: You are designing a simple elevator system for an old warehouse that is being converted to loft... Problem 10.59P: The Atwoods Machine. Figure P10.59 illustrates an Atwoods machine. Find the linear accelerations of... Problem 10.60P: The mechanism shown in Fig. P10.60 is used to raise a crate of supplies from a ships hold. The crate... Problem 10.61P: A large 16.0-kg roll of paper with radius R = 18.0 cm rests against the wall and is held in place by... Problem 10.62P: A block with mass m = 5.00 kg slides down a surface inclined 36.9 lo the horizontal (Fig. P10.62).... Problem 10.63P: Two metal disks, one with radius R1 = 2.50 cm and mass M1 = 0.80 kg and the other with radius R2 =... Problem 10.64P: A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with... Problem 10.65P: Two weights are connected by a very light, flexible cord that passes over an 80.0-N frictionless... Problem 10.66P: You complain about fire safety to the landlord of your high-rise apartment building. He is willing... Problem 10.67P: The Yo-yo. A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a... Problem 10.68P: CP A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without... Problem 10.69P: A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside... Problem 10.70P: CP A solid uniform ball rolls without slipping up a hill (Fig. P10.70). At the top of the hill, it... Problem 10.71P: Rolling Stones. A solid, uniform, spherical boulder starts from rest and rolls down a 50.0-m-high... Problem 10.72P: You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use... Problem 10.73P: A 42.0-cm-diameter wheel, consisting of a rim and six spokes, is constructed from u thin, rigid... Problem 10.74P: A uniform, 0.0300-kg rod of length 0.400 in rotates in a horizontal plane about a fixed axis through... Problem 10.75P: A uniform solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is... Problem 10.76P: Tarzan and Jane in the 21st Century. Tarzan has foolishly gotten himself into another scrape with... Problem 10.77P: A 5.00-kg ball is dropped from a height of 12.0 m above one end of a uniform bar that pivots at its... Problem 10.78P: The solid wood door of a gymnasium is 1.00 m wide and 2.00 m high, has total mass 35.0 kg, and is... Problem 10.79P: A uniform rod of length L rests on a friction less horizontal surface. The rod pivots about a fixed... Problem 10.80P: CP A large turntable with radius 6.00 m rotates about a fixed vertical axis, making one revolution... Problem 10.81P: In your job as a mechanical engineer you are designing a flywheel and clutch-plate system like the... Problem 10.82P: A local ice hockey team has asked you to design an apparatus for measuring the speed of the hockey... Problem 10.83P: You are designing a slide for a water park. In a sitting position, park guests slide a vertical... Problem 10.84P: Neutron Star Glitches. Occasionally, a rotating neutron star (see Exercise 10.41) undergoes a sudden... Problem 10.85P: A 500.0-g bird is flying horizontally at 2.25 m/s, not paying much attention, when it suddenly flies... Problem 10.86P: CP A small block with mass 0.130 kg is attached to a string passing through a hole in a... Problem 10.87P: A 55-kg runner runs around the edge of a horizontal turntable mounted on a vertical, frictionless... Problem 10.88P: DATA The V6 engine in a 2014 Chevrolet Silverado 1500 pickup truck is reported to produce a maximum... Problem 10.89P: DATA You have one object of each of these shapes, all with mass 0.840 kg: a uniform solid cylinder,... Problem 10.90P: DATA You are testing a small flywheel (radius 0.166 m) that will be used to store a small amount of... Problem 10.91CP Problem 10.92CP: When an object is rolling without slipping, the rolling friction force is much less than the... Problem 10.93CP: A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.650 m in... Problem 10.94PP: The moment of inertia of the empty turntable is 1.5 kg m2. With a constant torque of 2.5 N m, the... Problem 10.95PP: While the turntable is being accelerated, the person suddenly extends her legs. What happens to the... Problem 10.96PP: A doubling of the torque produces a greater angular acceleration. Which of the following would do... Problem 10.97PP: If the bodys center of mass were not placed on the rotational axis of the turntable, how would the... format_list_bulleted