An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25 cm2.Young's modulus for steel is 2.0 $\times$ 1011 N/m2.How much does the wire stretch?

A) 2.56 mm B) 2.97 mm C) 3.14 mm D) 3.86 mm E) 4.13 mm A) 2.56 mm B) 2.97 mm C) 3.14 mm D) 3.86 mm E) 4.13 mm

Two kids are trying to pick some apples that are on the other side of the fence which is 1.5m high.Since there is a vicious dog on the other side,they decided to use a ladder and lean it against the fence.The ladder of negligible mass is placed at an angle of 40S1U1P1$\circ$S1S1P0 to the horizontal.One kid of mass 50 kg stands at the bottom of the ladder while another kid of mass 40 kg goes up the ladder.How far up along the ladder can the lighter kid go before it tips over?

A) 1.4 m B) 2.28 m C) 2.72 m D) 3.50 m E) 5.25 m A) 1.4 m B) 2.28 m C) 2.72 m D) 3.50 m E) 5.25 m

An 800-kg mass is hung from a 1.5-m copper wire with a cross-sectional area of 0.35 cm2.Young's modulus for copper is 1.1 $\times$ 1011 N/m2.How much does the wire stretch?

A) 2.56 mm B) 2.97 mm C) 3.14 mm D) 3.86 mm E) 4.13 mm A) 2.56 mm B) 2.97 mm C) 3.14 mm D) 3.86 mm E) 4.13 mm

A design project requires you to construct a crane to lift a maximum load of 5000 kg and with a maximum upward acceleration of 2 m/s2.What size diameter steel cable should you use if the cable is to have a safety factor of 5?

A) 1.64 cm B) 1.10 cm C) 2.68 cm D) 3.00 cm E) 1.20 cm A) 1.64 cm B) 1.10 cm C) 2.68 cm D) 3.00 cm E) 1.20 cm

Exam 12: Static Equilibrium and Elasticity

A 10-m long plank (of negligible mass)is supported at each end by vertical cables,also of negligible mass.A person of unknown weight sits on the plank between the cables.The tension in the left cable is 300 N,and in the right cable it is 200 N.The person's weight is

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Question 21

An object has the following two conditions, and .Which of the following statements can be true?

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Question 22

The object shown in the diagram is a cube of uniform density resting on a rough surface.The applied force is balanced by the frictional force _fr.When the block is on the verge of tipping,the point of application of the normal force acting on the cube will be

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Question 23

The form of Hooke's law relating shear stress to shear strain is The figure shows a block subjected to shear stress.Which number corresponds to the surface area A in the equation just given?

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Question 24

Large cranes have stabilizers that extend beyond the wheels of the machines.If a crane has stabilizers that extend out by the width of the machine,by what factor can the load be increased before it tips over? Assume that the center of gravity of the crane without the load is in the middle of the crane.

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Question 25

Young's modulus Y has units of

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Question 26

A ladder is extended to a length of 8 m.It rests against a smooth frictionless vertical wall at an angle of 55 degrees to the horizontal.The ladder has a mass of 30 kg,and its center of mass is three-eighths of the way up the ladder from the floor.If the coefficient of static friction between the ladder and the floor is 0.2,calculate how far a man of 80 kg can stand along the ladder without it slipping away at the floor.

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Question 27

Use the picture on the right to answer the next question. A steel wire and an aluminum wire of the same length L and diameter d are joined to form a wire of length 2L.The wire is fastened to the ceiling and a mass m is attached to the other end. -The stress in the aluminum portion is ____ the steel portion.

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Question 28

An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25 cm².Young's modulus for steel is 2.0 $\times$ 10¹¹ N/m².How much does the wire stretch?

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Question 29

The sign in the figure weighs 200 N.The boom is of uniform construction.If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º above the horizontal,the weight of the boom is

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Question 30

Use the following to answer the question: -The point that identifies the proportional limit of the material whose graph of stress as a function of strain is shown below is

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Question 31

The sign in the figure weighs 200 N.The boom is of uniform construction.If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º above the horizontal,the angle the tie cable makes with the positive x axis is

(Multiple Choice)

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Question 32

Two kids are trying to pick some apples that are on the other side of the fence which is 1.5m high.Since there is a vicious dog on the other side,they decided to use a ladder and lean it against the fence.The ladder of negligible mass is placed at an angle of 40^$\circ$ to the horizontal.One kid of mass 50 kg stands at the bottom of the ladder while another kid of mass 40 kg goes up the ladder.How far up along the ladder can the lighter kid go before it tips over? $Two kids are trying to pick some apples that are on the other side of the fence which is 1.5m high.Since there is a vicious dog on the other side,they decided to use a ladder and lean it against the fence.The ladder of negligible mass is placed at an angle of 40<sup> \circ </sup> to the horizontal.One kid of mass 50 kg stands at the bottom of the ladder while another kid of mass 40 kg goes up the ladder.How far up along the ladder can the lighter kid go before it tips over?$

(Multiple Choice)

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Question 33

Use the following to answer the question: -The point that identifies the elastic limit of the material whose graph of stress as a function of strain is shown below is

(Multiple Choice)

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Question 34

If you neglect the weight of the boom,what is the maximum weight W that can be suspended from the boom if the horizontal guy wire will break under a tension of 5.60 kN?

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Question 35

After a shell explodes at the top of its trajectory,the center of gravity of the fragments has an acceleration,in the absence of air resistance,

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Question 36

A wire of length L and cross-sectional area A is stretched an amount $\Delta$ L by a force F.The strain is

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Question 37

An 800-kg mass is hung from a 1.5-m copper wire with a cross-sectional area of 0.35 cm².Young's modulus for copper is 1.1 $\times$ 10¹¹ N/m².How much does the wire stretch?

(Multiple Choice)

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Question 38

A planet has mass m_P and radius R_P.Suppose a rod of uniform diameter and length R_P extends vertically from the surface of the planet.Where is the center of gravity of the rod as measured from the surface of the planet? The mass of the rod is much less than the mass of the planet.

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Question 39

A design project requires you to construct a crane to lift a maximum load of 5000 kg and with a maximum upward acceleration of 2 m/s².What size diameter steel cable should you use if the cable is to have a safety factor of 5?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 58

Exam 12: Static Equilibrium and Elasticity

A 10-m long plank (of negligible mass)is supported at each end by vertical cables,also of negligible mass.A person of unknown weight sits on the plank between the cables.The tension in the left cable is 300 N,and in the right cable it is 200 N.The person's weight is

An object has the following two conditions, and .Which of the following statements can be true?

The object shown in the diagram is a cube of uniform density resting on a rough surface.The applied force is balanced by the frictional force fr.When the block is on the verge of tipping,the point of application of the normal force acting on the cube will be

The form of Hooke's law relating shear stress to shear strain is The figure shows a block subjected to shear stress.Which number corresponds to the surface area A in the equation just given?

Young's modulus Y has units of

An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25 cm2.Young's modulus for steel is 2.0 ×\times× 1011 N/m2.How much does the wire stretch?

The sign in the figure weighs 200 N.The boom is of uniform construction.If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º above the horizontal,the weight of the boom is

Use the following to answer the question: -The point that identifies the proportional limit of the material whose graph of stress as a function of strain is shown below is

The sign in the figure weighs 200 N.The boom is of uniform construction.If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º above the horizontal,the angle the tie cable makes with the positive x axis is

Use the following to answer the question: -The point that identifies the elastic limit of the material whose graph of stress as a function of strain is shown below is

If you neglect the weight of the boom,what is the maximum weight W that can be suspended from the boom if the horizontal guy wire will break under a tension of 5.60 kN?

After a shell explodes at the top of its trajectory,the center of gravity of the fragments has an acceleration,in the absence of air resistance,

A wire of length L and cross-sectional area A is stretched an amount Δ\DeltaΔ L by a force F.The strain is

An 800-kg mass is hung from a 1.5-m copper wire with a cross-sectional area of 0.35 cm2.Young's modulus for copper is 1.1 ×\times× 1011 N/m2.How much does the wire stretch?

A planet has mass mP and radius RP.Suppose a rod of uniform diameter and length RP extends vertically from the surface of the planet.Where is the center of gravity of the rod as measured from the surface of the planet? The mass of the rod is much less than the mass of the planet.

A design project requires you to construct a crane to lift a maximum load of 5000 kg and with a maximum upward acceleration of 2 m/s2.What size diameter steel cable should you use if the cable is to have a safety factor of 5?

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The object shown in the diagram is a cube of uniform density resting on a rough surface.The applied force is balanced by the frictional force _fr.When the block is on the verge of tipping,the point of application of the normal force acting on the cube will be

An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25 cm².Young's modulus for steel is 2.0 $\times$ 10¹¹ N/m².How much does the wire stretch?

A wire of length L and cross-sectional area A is stretched an amount $\Delta$ L by a force F.The strain is

An 800-kg mass is hung from a 1.5-m copper wire with a cross-sectional area of 0.35 cm².Young's modulus for copper is 1.1 $\times$ 10¹¹ N/m².How much does the wire stretch?

A planet has mass m_P and radius R_P.Suppose a rod of uniform diameter and length R_P extends vertically from the surface of the planet.Where is the center of gravity of the rod as measured from the surface of the planet? The mass of the rod is much less than the mass of the planet.

A design project requires you to construct a crane to lift a maximum load of 5000 kg and with a maximum upward acceleration of 2 m/s².What size diameter steel cable should you use if the cable is to have a safety factor of 5?