Explanation Section 1: To determine : The x -coordinate of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed. Answer : The x -coordinate of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed is 3.33 ft . Explanation : Given info : The area of the part A 1 of the plywood is 16.0 ft 2 , the area of the part A 2 is 8.00 ft 2 , and x coordinates of the center of gravity of parts of the plywood A 1 , A 2 are 2.00 ft and 6.00 ft . Assume the remaining parts of plywood as two parts A 1 with an area of 4.00 ft by 4.00 ft and its center of gravity is located at ( 2.00 ft, 2 .00 ft ) . Similarly, another part of the plywood is A 2 with area of 2.00 ft by 4.00 ft and the location of the center of gravity of this part is ( 6.00 ft, 1 .00 ft ) . The mass of the plywood is proportion to its area; its mass is defined as m = σ A where σ is proportionality constant. In this way, the masses of each part can be determined. The formula for the x co-ordinate of the center of gravity is, x cm = ρ A 1 x 1 + ρ A 2 x 2 ρ A 1 + ρ A 2 ρ is proportionality constant. A 1 and A 2 are areas of the plywood respectively. x 1 and x 2 are the x -coordinates of the center of gravity of the parts of plywood. Substitute 16.0 ft 2 for A 1 , 8.00 ft 2 for A 2 , 2.00 ft for x 1 , and 6.00 ft for x 2 to find x cm . x cm = ρ ( 16.0 ft 2 ) ( 2.00 ft ) + ρ ( 8.00 ft 2 ) ( 6.00 ft ) ρ ( 16.0 ft 2 ) + ρ ( 8.00 ft 2 ) = 3.33 ft Thus, the x -coordinate of the center of gravity of a 4

11th Edition

ISBN: 9781305965522

Author: SERWAY

Publisher: CENGAGE L

See similar textbooks

Concept explainers

Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

Chapter 8, Problem 11P

To determine

The x -and y -coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed.

Expert Solution & Answer

Chapter 8 Solutions

COLLEGE PHYSICS,V.2

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. 8P Ch. 8 - Prob. 9P Ch. 8 - Prob. 10P Ch. 8 - Prob. 11P Ch. 8 - Prob. 12P Ch. 8 - Prob. 13P Ch. 8 - The Xanthar mothership locks onto an enemy cruiser...Ch. 8 - Prob. 15P Ch. 8 - Prob. 16P Ch. 8 - Torque and the Two Conditions for Equilibrium 17....Ch. 8 - Prob. 18P Ch. 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. 21P Ch. 8 - A beam resting on two pivots has a length of L =...Ch. 8 - Prob. 23P Ch. 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. 29P Ch. 8 - Prob. 30P Ch. 8 - Prob. 31P Ch. 8 - Write the necessary equations of equilibrium of...Ch. 8 - Prob. 33P Ch. 8 - Prob. 34P Ch. 8 - Prob. 35P Ch. 8 - Prob. 36P Ch. 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. 76AP Ch. 8 - Prob. 77AP Ch. 8 - Prob. 78AP Ch. 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. 85AP Ch. 8 - A uniform thin rod of length L and mass M is free...Ch. 8 - Prob. 87AP Ch. 8 - Prob. 88AP Ch. 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. 94AP Ch. 8 - A 3.2-kg sphere is suspended by a cord that passes...

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.

The x -and y -coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed.

Solution Summary: The author calculates the center of gravity of a 4.00ft uniform sheet of plywood with the upper right quadrant removed.

Concept explainers

The x -and y -coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed.

Chapter 8 Solutions