4th Edition

ISBN: 9780133899634

Author: GIANCOLI

Publisher: PEARSON CO

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Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

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Textbook Question

Chapter 12, Problem 81GP

There is a maximum height of a uniform vertical column made of any material that can support itself without buckling, and it is independent of the cross-sectional area (why?). Calculate this height for (a) steel (density 7.8 × 10³ kg/m³), and (b) granite (density 2.7 × 10³ kg/m³).

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Chapter 12, Problem 80GP

Chapter 12, Problem 82GP

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Chapter 12 Solutions

EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST

Ch. 12.1 - For simplicity, we wrote the equation in Example...Ch. 12.2 - We did not need to use the force equation to solve...Ch. 12.2 - CHAPTER-OPENING QUESTIONGuess Now! The diving...Ch. 12.2 - Why is it reasonable to ignore friction along the...Ch. 12.4 - Two steel wires have the same length and are under...Ch. 12 - Describe several situations in which an object is...Ch. 12 - A bungee jumper momentarily comes to rest at the...Ch. 12 - Prob. 3Q Ch. 12 - Your doctors scale has arms on which weights slide...Ch. 12 - A ground retaining wall is shown in Fig. 1240a....

Ch. 12 - Can the sum of the torques on an object be zero...Ch. 12 - A ladder, leaning against a wall, makes a 60 angle...Ch. 12 - A uniform meter stick supported at the 25-cm mark...Ch. 12 - Prob. 9Q Ch. 12 - Prob. 10Q Ch. 12 - Place yourself facing the edge of an open door....Ch. 12 - Prob. 12Q Ch. 12 - Prob. 13Q Ch. 12 - Which of the configurations of brick, (a) or (b)...Ch. 12 - Name the type of equilibrium for each position of...Ch. 12 - Is the Youngs modulus for a bungee cord smaller or...Ch. 12 - Examine how a pair of scissors or shears cuts...Ch. 12 - Materials such as ordinary concrete and stone are...Ch. 12 - (I) Three forces are applied to a tree sapling, as...Ch. 12 - (I) Approximately what magnitude force, FM, must...Ch. 12 - Prob. 3P Ch. 12 - (I) A tower crane (Fig. 1248a) must always be...Ch. 12 - (II) Calculate the forces FA and FB that the...Ch. 12 - Prob. 6P Ch. 12 - (II) The two trees in Fig. 1250 are 6.6 m apart. A...Ch. 12 - Prob. 8P Ch. 12 - Prob. 9P Ch. 12 - Prob. 10P Ch. 12 - (II) Find the tension in the two cords shown in...Ch. 12 - (II) Find the tension in the two wires supporting...Ch. 12 - Prob. 13P Ch. 12 - (II) The force required to pull the cork out of...Ch. 12 - (II) Calculate and FA and FB for the beam shown in...Ch. 12 - Prob. 16P Ch. 12 - Prob. 17P Ch. 12 - (II) Three children are trying to balance on a...Ch. 12 - (II) The Achilles tendon is attached to the rear...Ch. 12 - (II) A shop sign weighing 215 N is supported by a...Ch. 12 - (II) A traffic light hangs from a pole as shown in...Ch. 12 - (II) A uniform steel beam has a mass of 940 kg. On...Ch. 12 - (II) Two wires run from the top of a pole 2.6 m...Ch. 12 - (II) A large 62.0-kg board is propped at a 45...Ch. 12 - (II) Repeat Problem 24 assuming the coefficient of...Ch. 12 - (II) A 0.75-kg sheet hangs from a massless...Ch. 12 - (II) A uniform rod AB of length 5.0 m and mass M =...Ch. 12 - (III) A 56.0-kg person stands 2.0 m from the...Ch. 12 - (III) A door 2.30 m high and 1.30 m wide has a...Ch. 12 - (III) A cubic crate of side s = 2.0 m is...Ch. 12 - (III) A refrigerator is approximately a uniform...Ch. 12 - (III) A uniform ladder of mass m and length leans...Ch. 12 - Prob. 33P Ch. 12 - (I) A nylon string on a tennis racket is under a...Ch. 12 - (I) A marble column of cross-sectional area 1.4 m2...Ch. 12 - (I) By how much is the column in Problem 35...Ch. 12 - (I) A sign (mass 1700 kg) hangs from the end of a...Ch. 12 - (II) How much pressure is needed to compress the...Ch. 12 - Prob. 39P Ch. 12 - (II) At depths of 2000 m in the sea, the pressure...Ch. 12 - (III) A pole projects horizontally from the front...Ch. 12 - (I) The femur bone in the human leg has a minimum...Ch. 12 - (II) (a) What is the maximum tension possible in a...Ch. 12 - (II) If a compressive force of 3.3 104 N is...Ch. 12 - (II) (a) What is the minimum cross-sectional area...Ch. 12 - (II) Assume the supports of the uniform cantilever...Ch. 12 - (II) An iron bolt is used to connect two iron...Ch. 12 - (II) A steel cable is to support an elevator whose...Ch. 12 - (II) A heavy load Mg = 66.0 kN hangs at point E of...Ch. 12 - (II) Figure 1271 shows a simple truss that carries...Ch. 12 - (II) (a) What minimum cross-sectional area must...Ch. 12 - (II) onsider again Example 1211 but this time...Ch. 12 - (III) The truss shown in Fig. 1272 supports a...Ch. 12 - (III) Suppose in Example 1211, a 23-ton truck (m =...Ch. 12 - (III) For the Pratt truss shown in Fig. 1273,...Ch. 12 - (II) How high must a pointed arch be if it is to...Ch. 12 - The mobile in Fig. 1274 is in equilibrium. Object...Ch. 12 - A tightly stretched high wire is 36 m long. It...Ch. 12 - What minimum horizontal force F is needed to pull...Ch. 12 - A 28-kg round table is supported by three legs...Ch. 12 - When a wood shelf of mass 6.6 kg is fastened...Ch. 12 - Prob. 62GP Ch. 12 - The center of gravity of a loaded truck depends on...Ch. 12 - In Fig. 1279, consider the right-hand...Ch. 12 - Assume that a single-span suspension bridge such...Ch. 12 - When a mass of 25 kg is hung from the middle of a...Ch. 12 - The forces acting on a 77,000-kg aircraft flying...Ch. 12 - A uniform flexible steel cable of weight mg is...Ch. 12 - A 20.0-m-long uniform beam weighing 650 N rests on...Ch. 12 - A cube of side l rests on a rough floor. It is...Ch. 12 - A 65.0-kg painter is on a uniform 25-kg scaffold...Ch. 12 - A man doing push-ups pauses in the position shown...Ch. 12 - A 23-kg sphere rests between two smooth planes as...Ch. 12 - A 15.0-kg ball is supported from the ceiling by...Ch. 12 - Parachutists whose chutes have failed to open have...Ch. 12 - A steel wire 2.3 mm in diameter stretches by...Ch. 12 - A 2500-kg trailer is attached to a stationary...Ch. 12 - Prob. 78GP Ch. 12 - A 25-kg object is being lifted by pulling on the...Ch. 12 - A uniform 6.0-m-long ladder of mass 16.0 kg leans...Ch. 12 - There is a maximum height of a uniform vertical...Ch. 12 - A 95,000-kg train locomotive starts across a...Ch. 12 - A 23.0-kg backpack is suspended midway between two...Ch. 12 - A uniform beam of mass M and length l is mounted...Ch. 12 - Two identical, uniform beams are symmetrically set...Ch. 12 - If 35 kg is the maximum mass m that a person can...Ch. 12 - (a) Estimate the magnitude of the force FM the...Ch. 12 - One rod of the square frame shown in Fig. 1295...Ch. 12 - A steel rod of radius R = 15 cm and length 0,...Ch. 12 - A home mechanic wants to raise the 280-kg engine...Ch. 12 - A 2.0-m-high box with a 1.0-m-squarc base is moved...Ch. 12 - You are on a pirate ship and being forced to walk...Ch. 12 - A uniform sphere of weight mg and radius r0 is...Ch. 12 - Use the method of joints to determine the force in...Ch. 12 - A uniform ladder of mass m and length leans at an...Ch. 12 - In a mountain-climbing technique called the...Ch. 12 - (III) A metal cylinder has an original diameter of...Ch. 12 - (III) Two springs, attached by a rope, are...

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There is a maximum height of a uniform vertical column made of any material that can support itself without buckling, and it is independent of the cross-sectional area (why?). Calculate this height for ( a ) steel (density 7.8 × 10 3 kg/m 3 ), and ( b ) granite (density 2.7 × 10 3 kg/m 3 ).

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Chapter 12 Solutions

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