College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Chapter 8, Problem 7WUE
To determine
To determine the centre of mass of the two body system.
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A meter stick has a center of mass at the 50 cm mark. Using two fingers, one at the 20 cm mark and the other at the 30 cm mark, you hold the meter stick in a horizontal, stationary position. Given the force at the 20 cm mark is 2 N, find the mass of the meter stick.
A uniform steel rod with a linear mass of 2 g/m is bent in the shape of letter F. The vertical rod is 2m long, the cap is 1m long, and the smaller arm, attached 1.5m from the bottom, is 0.5m long. Find the center of mass of the object.
5. A system consists of three particles as shown in the figure. Mass 1 is 8.10 kg and located at (0, 1.00)
-
m. Mass 2 is 5.30 kg and located at (2.00, 1.00) m. Mass 3 is 1.00 kg and located at (2.00, 0) m.
Calculate the center of mass of the system.
y (m)
m,
m2
y
m3
x (m)
a. ( 0.875î+ 1.003 ) m
b. ( 0.875î + 0.931ĵ ) m
c. ( 1.00î + 2.00ĵ ) m
d. ( 2.00î + 1.00ĵ ) m
e. ( 0.931î + 0.875Î ) m
е.
Chapter 8 Solutions
College Physics
Ch. 8.5 - Using a screwdriver, you try to remove a screw...Ch. 8.5 - A constant net torque is applied to an object....Ch. 8.5 - The two rigid objects shown in Figure 8.21 have...Ch. 8.6 - Two spheres, one hollow and one solid, are...Ch. 8.7 - A horizontal disk with moment of inertia I1...Ch. 8.7 - If global warming continues, its likely that some...Ch. 8 - Math Review The two conditions for equilibrium...Ch. 8 - Math Review Solve the equations 12mv2+12I2=mgh and...Ch. 8 - Prob. 3WUECh. 8 - Physics Review A construction cranes cable lifts a...
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 - Prob. 7WUECh. 8 - A horizontal plank 4.00 m long and having mass...Ch. 8 - A student rides his bicycle at a constant speed of...Ch. 8 - What is- the magnitude of the angular acceleration...Ch. 8 - Prob. 11WUECh. 8 - A bowling ball of mass 7.00 kg is rolling at 3.00...Ch. 8 - A basketball player entertains the crowd by...Ch. 8 - A disk of mass m is spinning freely at 6.00 rad/s...Ch. 8 - Why cant you put your heels firmly against a wall...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 - If you toss a textbook into the air, rotating it...Ch. 8 - Stars originate as large bodies of slowly rotating...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 - 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 - 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 - Write the necessary equations of equilibrium of...Ch. 8 - Torque and the Two Conditions for Equilibrium 17....Ch. 8 - Prob. 8PCh. 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. 11PCh. 8 - A beam resting on two pivots has a length of L =...Ch. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Many of the elements in horizontal-bar exercises...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 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. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 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 - A rope of negligible mass is wrapped around a 225...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 - An airliner lands with a speed of 50.0 m/s. Each...Ch. 8 - A car is designed to get its energy from a...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 solid uniform sphere of mass m and radius R...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 giant swing at an amusement park consists of a...Ch. 8 - Each of the following objects has a radius of...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 rigid, massless rod has three particles with...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. 68APCh. 8 - Prob. 69APCh. 8 - Prob. 70APCh. 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 - A light rope passes over a light, frictionless...Ch. 8 - An electric motor turns a flywheel through a drive...Ch. 8 - Prob. 79APCh. 8 - A uniform thin rod of length L and mass M is free...Ch. 8 - Prob. 81APCh. 8 - Prob. 82APCh. 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. 88APCh. 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_forwardA 3 kg plank is 0.6 m in length and has its center of mass at the geometrical center. Masses of 1 kg an 3 kg are attached at opposite ends of the plank. Find the center of mass of the whole system. 1 kg 3 kg Where is the COM? 3 kgarrow_forwardThe length of rod is 4 m, and the linear density of the rod at a point x meters from one end is (5 + 2x) kg/m. Find the center of mass of the rod.arrow_forward
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