College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 8, Problem 9P
To determine
The center of mass of the plank-bowling ball system.
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Two bowling balls are at rest on top of a uniform woodenplank with their centers of mass located as in Figure P8.9. Theplank has a mass of 5.00 kg and is 1.00 m long. Find the horizontaldistance from the left end of the plank to the center ofmass of the plank–bowling balls system.
a) Three masses are set on a board with negligible mass. The center of mass of m1, m2, and m3 are located 2 m, 5 m, and 8 m from the start of the board. The masses are m1 = 10 kg, m2 = 5 kg, and m3 = 3 kg. Where should the fulcrum (triangle) be placed so that the board is balanced?
Luc, who is 1.80 m tall and weighs 950 N, is standing at the center of a playground merry-go-round with his arms extended, holding a 4.0 kg dumbbell in each hand. The merry-go-round can be modeled as a 4.0-m-diameter disk with a weight of 1500 N. Luc's body can be modeled as a uniform 40-cm-diameter cylinder with massless arms extending to hands that are 85 cm from his center. The merry-go-round is coasting at a steady 35 rpm when Luc brings his hands in to his chest.
Afterward, what is the angular velocity, in rpm, of the merry-go-round?
Chapter 8 Solutions
College Physics
Ch. 8.4 - Using a screwdriver, you try to remove a screw...Ch. 8.4 - A constant net torque is applied to an object....Ch. 8.4 - The two rigid objects shown in Figure 8.21 have...Ch. 8.5 - Two spheres, one hollow and one solid, are...Ch. 8.6 - A horizontal disk with moment of inertia I1...Ch. 8.6 - If global warming continues, its likely that some...Ch. 8 - Why cant you put your heels firmly against a wall...Ch. 8 - Two point masses are the same distance R from an...Ch. 8 - If you see an object rotating, is there...Ch. 8 - (a) Is it possible to calculate the torque acting...
Ch. 8 - Why does a long pole help a tightrope walker stay...Ch. 8 - A person stands a distance R from a doors hinges...Ch. 8 - Orbiting spacecraft contain internal gyroscopes...Ch. 8 - If you toss a textbook into the air, rotating it...Ch. 8 - Stars originate as large bodies of slowly rotating...Ch. 8 - An object is acted on by a single nonzero force of...Ch. 8 - In a tape recorder, the tape is pulled past the...Ch. 8 - (a) Give an example in which the net force acting...Ch. 8 - Gravity is an example of a central force that acts...Ch. 8 - A cat usually lands on its feet regardless of the...Ch. 8 - A solid disk and a hoop are simultaneously...Ch. 8 - A mouse is initially at rest on a horizontal...Ch. 8 - The cars in a soapbox derby have no engines; they...Ch. 8 - A man opens a 1.00-m wide door by pushing on it...Ch. 8 - A worker applies a torque to a nut with a wrench...Ch. 8 - The fishing pole in Figure P8.3 makes an angle of...Ch. 8 - Find the net torque on the wheel in Figure P8.4...Ch. 8 - Figure P8.4 Calculate the net torque (magnitude...Ch. 8 - A dental bracket exerts a horizontal force of 80.0...Ch. 8 - A simple pendulum consists of a small object of...Ch. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - The Xanthar mothership locks onto an enemy cruiser...Ch. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Torque and the Two Conditions for Equilibrium 17....Ch. 8 - Prob. 18PCh. 8 - A cook holds a 2.00-kg carton of milk at arm's...Ch. 8 - A meter stick is found to balance at the 49.7-cm...Ch. 8 - Prob. 21PCh. 8 - A beam resting on two pivots has a length of L =...Ch. 8 - Prob. 23PCh. 8 - When a person stands on tiptoe (a strenuous...Ch. 8 - A 500.-N uniform rectangular sign 4.00 m wide and...Ch. 8 - A window washer is standing on a scaffold...Ch. 8 - A uniform plank of length 2.00 m and mass 30.0 kg...Ch. 8 - A hungry bear weighing 700. N walks out on a beam...Ch. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Write the necessary equations of equilibrium of...Ch. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Four objects are held in position at the corners...Ch. 8 - If the system shown in Figure P8.37 is set in...Ch. 8 - A large grinding wheel in the shape of a solid...Ch. 8 - An oversized yo-yo is made from two identical...Ch. 8 - An approximate model for a ceiling fan consists of...Ch. 8 - A potters wheel having a radius of 0.50 m and a...Ch. 8 - A model airplane with mass 0.750 kg is tethered by...Ch. 8 - A bicycle wheel has a diameter of 64.0 cm and a...Ch. 8 - A 150.-kg merry-go-round in the shape of a...Ch. 8 - An Atwoods machine consists of blocks of masses m1...Ch. 8 - The uniform thin rod in Figure P8.47 has mass M =...Ch. 8 - A 2.50-kg solid, uniform disk rolls without...Ch. 8 - A horizontal 800.-N merry-go-round of radius 1.50...Ch. 8 - Four objectsa hoop, a solid cylinder, a solid...Ch. 8 - A light rod of length = 1.00 m rotates about an...Ch. 8 - A 240-N sphere 0.20 m in radius rolls without...Ch. 8 - A solid, uniform disk of radius 0.250 m and mass...Ch. 8 - A car is designed to get its energy from a...Ch. 8 - The top in Figure P8.55 has a moment of inertia of...Ch. 8 - A constant torque of 25.0 N m is applied to a...Ch. 8 - A 10.0-kg cylinder rolls without slipping on a...Ch. 8 - Use conservation of energy to determine the...Ch. 8 - A 2.00-kg solid, uniform ball of radius 0.100 m is...Ch. 8 - Each of the following objects has a radius of...Ch. 8 - A metal hoop lies on a horizontal table, free to...Ch. 8 - A disk of mass m is spinning freely at 6.00 rad/s...Ch. 8 - (a) Calculate the angular momentum of Earth that...Ch. 8 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 8 - A light, rigid rod of length = 1.00 m rotates...Ch. 8 - Haileys comet moves about the Sun in an elliptical...Ch. 8 - A student holds a spinning bicycle wheel while...Ch. 8 - A 60.0-kg woman stands at the rim of a horizontal...Ch. 8 - A solid, horizontal cylinder of mass 10.0 kg and...Ch. 8 - A student sits on a rotating stool holding two...Ch. 8 - The puck in Figure P8.71 has a mass of 0.120 kg....Ch. 8 - A space station shaped like a giant wheel has a...Ch. 8 - A cylinder with moment of inertia I1 rotates with...Ch. 8 - A particle of mass 0.400 kg is attached to the...Ch. 8 - Additional Problems A typical propeller of a...Ch. 8 - Prob. 76APCh. 8 - Prob. 77APCh. 8 - Prob. 78APCh. 8 - A uniform ladder of length L and weight w is...Ch. 8 - Two astronauts (Fig. P8.80), each haring a mass of...Ch. 8 - S This is a symbolic version of problem 80. Two...Ch. 8 - Two window washers. Bob and Joe, are on a...Ch. 8 - A 2.35-kg uniform bar of length = 1.30 m is held...Ch. 8 - A light rod of length 2L is free to rotate in a...Ch. 8 - Prob. 85APCh. 8 - A uniform thin rod of length L and mass M is free...Ch. 8 - Prob. 87APCh. 8 - Prob. 88APCh. 8 - A war-wolf, or trebuchet, is a device used during...Ch. 8 - A string is wrapped around a uniform cylinder of...Ch. 8 - The Iron Cross When a gymnast weighing 750 N...Ch. 8 - In an emergency situation, a person with a broken...Ch. 8 - An object of mass m1 = 4.00 kg is connected by a...Ch. 8 - Prob. 94APCh. 8 - A 3.2-kg sphere is suspended by a cord that passes...
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Similar questions
- Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.arrow_forwardJane is sitting on a chair with her lower leg at a 30.0° angle with respect to the vertical, as shown. You need to develop a computer model of her leg to assist in some medical research. Assume that her leg can be modeled as two uniform cylinders, one with mass M = 22.0 kg and length L = 35.0 cm and one with mass m = 10.0 kg and length l = 40.0 cm. Find the y-component of the center of mass of Jane’s leg.arrow_forwardThree solid, uniform boxes are aligned as in Figure P8.10. Find the x-and y-coordinates of the center of mass of the three boxes, measured from the bottom left corner of box A.arrow_forward
- Luc, who is 1.80 mm tall and weighs 950 NN, is standing at the center of a playground merry-go-round with his arms extended, holding a 4.0 kgkg dumbbell in each hand. The merry-go-round can be modeled as a 4.0-mm-diameter disk with a weight of 1500 NN. Luc's body can be modeled as a uniform 40-cmcm-diameter cylinder with massless arms extending to hands that are 85 cmcm from his center. The merry-go-round is coasting at a steady 35 rpmrpm when Luc brings his hands in to his chest. Afterward, what is the angular velocity, in rpmrpm, of the merry-go-round? The answer is not 31.6 rpm.arrow_forwardLuc, who is 1.80 mm tall and weighs 950 NN, is standing at the center of a playground merry-go-round with his arms extended, holding a 4.0 kgkg dumbbell in each hand. The merry-go-round can be modeled as a 4.0-mm-diameter disk with a weight of 1500 NN. Luc's body can be modeled as a uniform 40-cmcm-diameter cylinder with massless arms extending to hands that are 85 cmcm from his center. The merry-go-round is coasting at a steady 35 rpmrpm when Luc brings his hands in to his chest.arrow_forwardA 0.005 00-kg bullet traveling horizontally with a speed of 1.00 3 103 m/s strikes an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as shown in Figure P11.30. The 1.00-m wide door is free to swing on its frictionless hinges. (d) At what angular speed does the door swing open immediately after the collision just after the bullet embeds itself in the door? (e) Calculate the initial momentum of the bullet–door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision.arrow_forward
- A solid cube of side 2a and mass M is sliding on a frictionless surface with uniform velocity → v as shown in Figure . It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure P11.50b. Find the minimum value of the magnitude of → v such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic collision at the edge.arrow_forwardCandace is a 53 kg diver. At the instant of takeoff, her angular momentum about her transverse axis is 20 kg.m7s. Her radius of gyration about the transverse axis is 0.4 m at this instant. During the dive, Candace tucks and reduces her radius of gyration about thetransverse axis to 0.18 m.a) At takeoff, what is Candace's moment of inertia about her transverse axis? kg*m?b) At takeoff, what is Candace's angular velocity in degrees/sec about the transverse axis?c) After Candace tucks, what is her moment of inertia about her transverse axis? kg*m? d) After Candace tucks, what is her angular velocity in degrees/sec about the transverse axis?arrow_forwardA 10.0-g bullet traveling horizontally with a speed of 200 m/s strikes a 15.0-kg door, embedding itself 0.50 m from the side opposite the hinges as shown in Figure P11.30. The 1.00-m wide door is free to swing on its frictionless hinges. (d) At what angular speed does the door swing open immediately after the collision just after the bullet embeds itself in the door? (e) Calculate the initial momentum of the bullet–door system.arrow_forward
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