Problem 1WUE: Math Review The two conditions for equilibrium (see Sections 8.2 and 8.4) often result in a system... Problem 2WUE: Math Review Solve the equations 12mv2+12I2=mgh and = r for the speed v using substitution, given... Problem 3WUE Problem 4WUE: Physics Review A construction cranes cable lifts a 50.0-kg box upward with an acceleration of 1.50... Problem 5WUE: A man opens a 1.00-m wide door by pushing on it with a force of 50.0 N directed perpendicular to its... Problem 6WUE: A worker applies a torque to a nut with a wrench 0.500 m long. Because of the cramped space, she... Problem 7WUE Problem 8WUE: A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and... Problem 9WUE: A student rides his bicycle at a constant speed of 3.00 m/s along a straight, level road. If the... Problem 10WUE: What is- the magnitude of the angular acceleration of a 25.0-kg disk of radius 0.800 m when a torque... Problem 11WUE Problem 12WUE: A bowling ball of mass 7.00 kg is rolling at 3.00 m/s along a level surface. Calculate (a) the balls... Problem 13WUE: A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a... Problem 14WUE: A disk of mass m is spinning freely at 6.00 rad/s when a second identical disk, initially not... Problem 1CQ: Why cant you put your heels firmly against a wall and then I bend over without falling? Problem 3CQ: If you see an object rotating, is there necessarily a net torque acting on it? Problem 4CQ: (a) Is it possible to calculate the torque acting on a rigid object without specifying an origin?... Problem 5CQ: Why does a long pole help a tightrope walker stay balanced? Problem 8CQ: If you toss a textbook into the air, rotating it each time about one of the three axes perpendicular... Problem 9CQ: Stars originate as large bodies of slowly rotating gas. Because of gravity, these clumps of gas... Problem 11CQ: In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive... Problem 12CQ: (a) Give an example in which the net force acting on an object is zero, yet the net torque is... Problem 14CQ: A cat usually lands on its feet regardless of the position from which it is dropped. A slow-motion... Problem 15CQ: A solid disk and a hoop are simultaneously released from rest at the top of an incline and roll down... Problem 16CQ: A mouse is initially at rest on a horizontal turntable mounted on a frictionless, vertical axle. As... Problem 17CQ: The cars in a soapbox derby have no engines; they simply coast downhill. Which of the following... Problem 1P: The fishing pole in Figure P8.3 makes an angle of 20.0 with the horizontal. What is the magnitude of... Problem 2P: Find the net torque on the wheel in Figure P8.4 about the axle through O perpendicular to the page,... Problem 3P: Figure P8.4 Calculate the net torque (magnitude and direction) on the beam in Figure P8.5 about (a)... Problem 4P: A dental bracket exerts a horizontal force of 80.0 N on a tooth at point B in Figure P8.6. What is... Problem 5P: A simple pendulum consists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light... Problem 6P: Write the necessary equations of equilibrium of the object shown in Figure P8.32. Take the origin of... Problem 7P: Torque and the Two Conditions for Equilibrium 17. The arm in Figure P8.17 weighs 41.5 N. The force... Problem 8P Problem 9P: A cook holds a 2.00-kg carton of milk at arm's length P8.19). What force FB must be exerted by the... Problem 10P: A meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. When a 50.0-gram... Problem 11P Problem 12P: A beam resting on two pivots has a length of L = 6.00 m and mass M = 90.0 kg. The pivot under the... Problem 13P Problem 14P Problem 15P: Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four... Problem 16P Problem 17P Problem 18P: When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in... Problem 19P: A 500.-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,... Problem 20P: A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold... Problem 21P: A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated by the... Problem 22P: A hungry bear weighing 700. N walks out on a beam in an attempt to retrieve a basket of goodies... Problem 23P Problem 24P Problem 25P Problem 26P Problem 27P Problem 28P Problem 29P Problem 30P Problem 31P: Four objects are held in position at the corners of a rectangle by light rods as shown in Figure... Problem 32P: If the system shown in Figure P8.37 is set in rotation about each of the axes mentioned in Problem... Problem 33P: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a... Problem 34P: An oversized yo-yo is made from two identical solid disks each of mass M = 2.00 kg and radius R =... Problem 35P: A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder... Problem 36P: A potters wheel having a radius of 0.50 m and a moment of inertia of 12 kg - m2 is rotating freely... Problem 37P: A model airplane with mass 0.750 kg is tethered by a wire so that it flies in a circle 30.0 m in... Problem 38P: A bicycle wheel has a diameter of 64.0 cm and a mass of 1.80 kg. Assume that the wheel is a hoop... Problem 39P: A 150.-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set... Problem 40P: An Atwoods machine consists of blocks of masses m1 = 10.0 kg and m2 = 20.0 kg attached by a cord... Problem 41P: An airliner lands with a speed of 50.0 m/s. Each wheel of the plane has a radius of 1.25 m and a... Problem 42P: A car is designed to get its energy from a rotating solid-disk flywheel with a radius of 2.00 m and... Problem 43P: A horizontal 800.-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal... Problem 44P: Four objectsa hoop, a solid cylinder, a solid sphere, and a thin, spherical shelleach have a mass of... Problem 45P: A light rod of length = 1.00 m rotates about an axis perpendicular to its length and passing... Problem 46P: A 240-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 37 with... Problem 47P: A solid, uniform disk of radius 0.250 m and mass 55.0 kg rolls down a ramp of length 4.50 m that... Problem 48P: A solid uniform sphere of mass m and radius R rolls without slipping down an incline of height h.... Problem 49P: The top in Figure P8.55 has a moment of inertia of 4.00 104 kg m2 and is initially at rest It is... Problem 50P: A constant torque of 25.0 N m is applied to a grindstone whose moment of inertia is 0.130 kg m2.... Problem 51P: A 10.0-kg cylinder rolls without slipping on a rough surface. At an instant when its center of... Problem 52P: Use conservation of energy to determine the angular speed of the spool shown in Figure P8.58 after... Problem 53P: A giant swing at an amusement park consists of a 365-kg uniform arm 10.0 m long, with two seats of... Problem 54P: Each of the following objects has a radius of 0.180 m and a mass of 2.40 kg, and each rotates about... Problem 55P: (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis,... Problem 56P: A 0.005 00-kg bullet traveling horizontally with a speed of 1.00 103 m/s enters an 18.0-kg door,... Problem 57P: A light, rigid rod of length = 1.00 m rotates about an axis perpendicular to its length and through... Problem 58P: Haileys comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being... Problem 59P: A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59.... Problem 60P: A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2... Problem 61P: A solid, horizontal cylinder of mass 10.0 kg and radius 1.00 m rotates with an angular speed of 7.00... Problem 62P: A student sits on a rotating stool holding two 3.0-kg objects. When his arms are extended... Problem 63P: The puck in Figure P8.71 has a mass of 0.120 kg. Its original distance from the center of rotation... Problem 64P: A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of 5.00 108... Problem 65P: A cylinder with moment of inertia I1 rotates with angular velocity 0 about a frictionless vertical... Problem 66P: A particle of mass 0.400 kg is attached to the 100-cm mark of a meter stick of mass 0.100 kg. The... Problem 67AP: Additional Problems A typical propeller of a turbine used to generate electricity from the wind... Problem 68AP Problem 69AP Problem 70AP Problem 71AP: A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of... Problem 72AP: Two astronauts (Fig. P8.80), each haring a mass of 75.0 kg, are connected by a 10.0-m rope of... Problem 73AP: S This is a symbolic version of problem 80. Two astronauts (Fig. P8.80), each having a mass M, are... Problem 74AP: Two window washers. Bob and Joe, are on a 3.00-m-long, 345-N scaffold supported by two cables... Problem 75AP: A 2.35-kg uniform bar of length = 1.30 m is held in a horizontal position by three vertical springs... Problem 76AP: A light rod of length 2L is free to rotate in a vertical plane about a frictionless pivot through... Problem 77AP: A light rope passes over a light, frictionless pulley. One end is fastened 10 a bunch of bananas of... Problem 78AP: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a... Problem 79AP Problem 80AP: A uniform thin rod of length L and mass M is free to rotate on a frictionless pin passing through... Problem 81AP Problem 82AP Problem 83AP: A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now... Problem 84AP: A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from... Problem 85AP: The Iron Cross When a gymnast weighing 750 N executes the iron cross as in Figure lN.91a, the... Problem 86AP: In an emergency situation, a person with a broken forearm ties a strap from his hand to clip on his... Problem 87AP: An object of mass m1 = 4.00 kg is connected by a light cord to an object of mass m2 = 3.00 kg on a... Problem 88AP Problem 89AP: A 3.2-kg sphere is suspended by a cord that passes over a 1.8-kg pulley of radius 3.8 cm. The cord... format_list_bulleted