A meter stick of mass 150 g is pivoted at its center.A mass m1 of 75.0 g is suspended 13.0 cm from the left end of the meter stick.How much mass m2 must be suspended 69.0 cm from the left end of the meter stick to achieve rotational equilibrium?

A) 19.4 g B) 56.3 g C) 98.2 g D) 146.g E) 38.5 g A) 19.4 g B) 56.3 g C) 98.2 g D) 146.g E) 38.5 g

In building a house of cards,two cards are propped up against each other to form an inverted V.The length of each card is 88 mm and the mass of each card is 1.8 g.Both cards are tipped at an angle of 25 S1U1P1$\circ$S1S1P0 from vertical.Calculate the magnitude and direction of the friction force acting on the base of the card on the left required to keep the card structure from collapsing.

A) 1.77 * 10-2 N to right B) 8.83 * 10-2 N to right C) 4.12 * 10-3 N to right D) 1.77 * 10-2 N to left E) 4.12 * 10-3 N to left A) 1.77 * 10-2 N to right B) 8.83 * 10-2 N to right C) 4.12 * 10-3 N to right D) 1.77 * 10-2 N to left E) 4.12 * 10-3 N to left

Exam 11: Static Equilibrium

The potential energy of an object is given by U(x)= x⁴ - x²,where U is measured in joules and x is measured in meters.At which position is the object in stable equilibrium?

(Multiple Choice)

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Question 41

A system is in a stable equilibrium if

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Question 42

A 75-kg barbell is 1.0 m long and has its center of mass exactly in the middle of the barbell.A weightlifter holds it with his right hand 11 cm away from one end and his left hand 15 cm away from the other end.Find the force his right hand provides to the barbell.

(Multiple Choice)

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Question 43

A meter stick of mass 150 g is pivoted at its center.A mass m₁ of 75.0 g is suspended 13.0 cm from the left end of the meter stick.How much mass m₂ must be suspended 69.0 cm from the left end of the meter stick to achieve rotational equilibrium?

(Multiple Choice)

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Question 44

Three children acrobats are standing still on a circular horizontal platform of radius 4 m suspended at the center.The origin of the xy - Cartesian coordinate system is assumed to be in the center of the circular platform.A 30-kg child is located at (1 m,2 m),and a 40-kg child is located at (2 m,- 3 m).Assuming the children stand still on their positions,where must a 20-kg child acrobat be located so that the center of mass of the system consisting of the three children is at the origin and the platform is balanced?

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Question 45

A track is built whose height as a function of horizontal position x is given by (h and x,both in meters).If a marble is placed on this track,find the position closest to the axis where it will be in equilibrium.

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Question 46

A board,with a weight of 85 N and a length of 6.0 m,is supported by two vertical ropes,as shown in the figure.Rope A is connected to one end of the board and rope B is connected a distance of 1.5 m from the other end of the board.A box with a weight of 25 N is placed on the board with its center of mass 1.0 m from rope A. What is the tension in rope A on the left?

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Question 47

A see-saw will balance when the pivot is placed at the center of mass of the system.If a boy and his brother sit at distances 3L and L from the pivot,respectively,and the see-saw is balanced,what is the boy's mass if his brother's is 85 kg? Assume the see-saw board is uniform.

(Multiple Choice)

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Question 48

A track is built whose height as a function of horizontal position x is given by (h and x,both in meters).If a marble is placed on this track,find the position closest to the axis where it will be in equilibrium.

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Question 49

In building a house of cards,two cards are propped up against each other to form an inverted V.The length of each card is 88 mm and the mass of each card is 1.8 g.Both cards are tipped at an angle of 25 ^$\circ$ from vertical.Calculate the magnitude and direction of the friction force acting on the base of the card on the left required to keep the card structure from collapsing.

(Multiple Choice)

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Question 50

Two weights are hanging on a 60-cm long,100-g mass uniform wooden bar as shown in the figure.Is this system in equilibrium?

(Multiple Choice)

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Question 51

A uniform plank of length 5.00 m and weight 225 N rests horizontally on two supports.The left support is directly under the left end of the plank and 1.10 m of the plank extends past the right support.How far can a person who weighs 450 N walk on the plank to the right of the right support before the plank just begins to tip?

(Multiple Choice)

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Question 52

Which of the following are in static equilibrium?

(Multiple Choice)

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Question 53

A light platform with a coordinate system drawn on it is supported at the center.A 5-kg mass is placed at .A 3-kg mass is placed at .Where should a 2-kg mass be placed such that the system is in equilibrium?

(Multiple Choice)

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Question 54

The potential energy of an object is given by U(x)= x⁴ - x²,where U is measured in joules and x is measured in meters.At which position is the object in unstable equilibrium?

(Multiple Choice)

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Question 55

A board with a length of 7.00 m and a mass of 50.0 kg is attached by a large bolt to a support at a distance of 3.00 m from one end.The board makes an angle of 30.0^$\circ$ with the horizontal,as shown in the figure.A mass of 220 kg is attached with a rope to one end of the board,and a second rope is attached at a right angle to the other end of the board.Find the magnitude of the force exerted on the board by the bolt. $A board with a length of 7.00 m and a mass of 50.0 kg is attached by a large bolt to a support at a distance of 3.00 m from one end.The board makes an angle of 30.0<sup> \circ </sup> with the horizontal,as shown in the figure.A mass of 220 kg is attached with a rope to one end of the board,and a second rope is attached at a right angle to the other end of the board.Find the magnitude of the force exerted on the board by the bolt.$

(Multiple Choice)

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Question 56

To crack a nut you exert equal and opposite forces of magnitude 25 N to the arms of a nut cracker.The distance between the nut and the pivot point is 2 cm and the distance between the nut and the free end of the nutcracker is 8 cm.The magnitude of the force experienced by the nut on the both side is

(Multiple Choice)

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Question 57

A basketball is at rest on top of a smooth rounded hill.This is an example of which kind of equilibrium?

(Multiple Choice)

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Question 58

A SUV has a length of 4.4 m,a height of 1.5 m and a width of 1.6 m.What is the maximum speed the SUV could travel as it makes a turn of radius 71 m before it will begin to tip? Assume that the center of mass is in the geometric center of the car and that there is sufficient friction between the tires and the road to prevent skidding.

(Multiple Choice)

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Question 59

Two weights are hanging on a 60-cm long,100-g mass uniform wooden bar as shown in the figure.Is this system in equilibrium?

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Question 60

Showing 41 - 60 of 60

Exam 11: Static Equilibrium

The potential energy of an object is given by U(x)= x4 - x2,where U is measured in joules and x is measured in meters.At which position is the object in stable equilibrium?

A system is in a stable equilibrium if

A 75-kg barbell is 1.0 m long and has its center of mass exactly in the middle of the barbell.A weightlifter holds it with his right hand 11 cm away from one end and his left hand 15 cm away from the other end.Find the force his right hand provides to the barbell.

A meter stick of mass 150 g is pivoted at its center.A mass m1 of 75.0 g is suspended 13.0 cm from the left end of the meter stick.How much mass m2 must be suspended 69.0 cm from the left end of the meter stick to achieve rotational equilibrium?

A track is built whose height as a function of horizontal position x is given by (h and x,both in meters).If a marble is placed on this track,find the position closest to the axis where it will be in equilibrium.

A see-saw will balance when the pivot is placed at the center of mass of the system.If a boy and his brother sit at distances 3L and L from the pivot,respectively,and the see-saw is balanced,what is the boy's mass if his brother's is 85 kg? Assume the see-saw board is uniform.

A track is built whose height as a function of horizontal position x is given by (h and x,both in meters).If a marble is placed on this track,find the position closest to the axis where it will be in equilibrium.

Two weights are hanging on a 60-cm long,100-g mass uniform wooden bar as shown in the figure.Is this system in equilibrium?

Which of the following are in static equilibrium?

A light platform with a coordinate system drawn on it is supported at the center.A 5-kg mass is placed at .A 3-kg mass is placed at .Where should a 2-kg mass be placed such that the system is in equilibrium?

The potential energy of an object is given by U(x)= x4 - x2,where U is measured in joules and x is measured in meters.At which position is the object in unstable equilibrium?

A basketball is at rest on top of a smooth rounded hill.This is an example of which kind of equilibrium?

Two weights are hanging on a 60-cm long,100-g mass uniform wooden bar as shown in the figure.Is this system in equilibrium?

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The potential energy of an object is given by U(x)= x⁴ - x²,where U is measured in joules and x is measured in meters.At which position is the object in stable equilibrium?

A meter stick of mass 150 g is pivoted at its center.A mass m₁ of 75.0 g is suspended 13.0 cm from the left end of the meter stick.How much mass m₂ must be suspended 69.0 cm from the left end of the meter stick to achieve rotational equilibrium?

The potential energy of an object is given by U(x)= x⁴ - x²,where U is measured in joules and x is measured in meters.At which position is the object in unstable equilibrium?