A 330-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 5.00 x 10-6 kg∙m2 and a radius of 1.35 cm. A 255-g mass hangs from the other end of the string and is released. What is the acceleration of the cart?

A) 9.72 m/s2 B) 7.14 m/s2 C) 6.53 m/s2 D) 4.74 m/s2 E) 4.08 m/s2 A) 9.72 m/s2 B) 7.14 m/s2 C) 6.53 m/s2 D) 4.74 m/s2 E) 4.08 m/s2

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10-6 kg∙m2 and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the tension in the string between the pulley and the cart?

A) 4.58 N B) 2.50 N C) 1.85 N D) 2.29 N E) 1.74 N A) 4.58 N B) 2.50 N C) 1.85 N D) 2.29 N E) 1.74 N

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10-6 kg∙m2 and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the acceleration of the cart?

A) 7.14 m/s2 B) 6.53 m/s2 C) 5.27 m/s2 D) 4.98 m/s2 E) 3.27 m/s2 A) 7.14 m/s2 B) 6.53 m/s2 C) 5.27 m/s2 D) 4.98 m/s2 E) 3.27 m/s2

Exam 11: Rotational Dynamics and Static Equilibrium

A puck moves on a horizontal air table. It is attached to a string that gradually winds itself up around a round peg in the center of the table. This shortens the string, so the puck gradually spirals in towards the center. What happens to the magnitude of the puck's angular momentum?

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Question 21

Three joggers are running along straight lines as follows: Jogger A, with a mass of 55.2 kg, is traveling along the line y = 6.00 m at 3.45 m/s in the positive x-direction. Jogger B, with a mass of 62.4 kg, is traveling at 4.23 m/s along the line x = 3.00 m in the positive y-direction. Jogger C, with a mass of 72.1 kg, is traveling at 4.75 m/s along the line x = -5.00 m in the negative y-direction. What is the total counterclockwise angular momentum of the three joggers about the origin?

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Question 22

A 330-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 5.00 x 10^-6 kg∙m² and a radius of 1.35 cm. A 255-g mass hangs from the other end of the string and is released. What is the acceleration of the cart?

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Question 23

A mechanic is examining the wheel of a bicycle to adjust the brake. With the bicycle off the ground, he manually rotates the wheel until it reaches an angular speed of 12.0 rad/s and then allows it to coast to a stop. If the wheel has a moment of inertia of 0.100 kg∙m², and the wheel slows to a stop in 160 s, what is the magnitude of the retarding torque?

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Question 24

A girl weighing 450. N sits on one end of a seesaw that is 3.0 m long and is pivoted 1.3 m from the girl. If the seesaw is just balanced when a boy sits at the opposite end, what is his weight? Neglect the weight of the seesaw.

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Question 25

FIGURE 11-5 -An 82.0 kg-diver stands at the edge of a light 5.00-m diving board, which is supported by two pillars 1.60 m apart, as shown in Figure 11-5. Find the force exerted by pillar A.

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Question 26

A solid wood door, 90.0 cm wide by 2.00 m tall has a mass of 35.0 kg. It is ajar and at rest. A ball with a mass of 500 g is thrown perpendicular to the door with a speed of 20.0 m/s and hits the door 60.0 cm from the hinged side. The ball rebounds with a speed of 16.0 m/s along the same line. How much energy is lost in the process?

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Question 27

A mass of 355 g hangs from one end of a string that goes over a pulley with a moment of inertia of 0.0125 kg∙m² and a radius of 15.0 cm. A mass of 680 g hangs from the other end. When the masses are released, the larger mass accelerates downward, the lighter mass accelerates upward, and the pulley turns without the string slipping on the pulley. What is the tension in the string on the side of the 355-g mass?

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Question 28

A puck moves on a horizontal air table. It is attached to a string that passes through a hole in the center of the table. As the puck rotates about the hole, the string is pulled downward very slowly and shortens the radius of rotation, so the puck gradually spirals in towards the center. What happens to the puck's angular speed?

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Question 29

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10^-6 kg∙m² and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the tension in the string between the pulley and the cart?

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Question 30

A light board, 10 m long, is supported by two sawhorses, one at one edge of the board and a second at the midpoint. A 40-N weight is placed between the two sawhorses, 3.0 m from the edge and 2.0 m from the center. What forces are exerted by the sawhorses on the board?

(Short Answer)

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Question 31

FIGURE 11-2 -A figure skater is spinning slowly with arms outstretched. She brings her arms in close to her body and her moment of inertia decreases by 1/2. Her angular speed increases by a factor of

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Question 32

The wheelbase on a 50,000-kg truck is 2.40 m wide and the truck's center of mass is located along the vertical centerline of the truck and 2.00 m above the bottom of the tires. The truck is going around a horizontal turn with a radius of 250 m at 24.0 m/s. What is the total normal force on the tires on the side of the truck that faces the center of the curve?

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Question 33

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10^-6 kg∙m² and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the acceleration of the cart?

(Multiple Choice)

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Question 34

An ice skater doing a spin pulls in her arms, decreasing her moment of inertia by a factor of two. How does her angular speed changes?

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Question 35

A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg∙m² is rotating freely with an angular speed of 1.0 rad/s. Two people, each having a mass of 60 kg are standing right outside the edge of the merry-go-round and step on it with negligible speed. What is the angular speed of the merry-go-round right after the two people have stepped on?

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Question 36

A light board, 10 m long, is supported by two sawhorses, one at one edge of the board and a second at the midpoint. A 40-N weight is placed between the two sawhorses, 3.0 m from the edge and 2.0 m from the center. A second weight, with a weight of 15 N, is placed on the far end from the board. What forces are exerted by the sawhorses on the board?

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Question 37

You are holding a finishing sander with your right hand. The sander has a flywheel which spins counterclockwise as seen from behind the handle. You are sanding a wall in front of you. As you turn the sander towards the right, you feel a tendency in the sander to

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Question 38

In a model airplane, the propeller is a significant part of the total mass. A model airplane is flying on a level path, with its propeller rotating clockwise as seen facing the airplane. At a preset time, a signal causes the plane to lower its tail flaps and it goes into a nose-down attitude. When this happens, the nose of the plane also swings towards the right. Explain why this happens.

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Question 39

An object in motion with constant speed along a straight line can never have nonzero angular momentum.

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Question 40

Showing 21 - 40 of 97

Exam 11: Rotational Dynamics and Static Equilibrium

A puck moves on a horizontal air table. It is attached to a string that gradually winds itself up around a round peg in the center of the table. This shortens the string, so the puck gradually spirals in towards the center. What happens to the magnitude of the puck's angular momentum?

A 330-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 5.00 x 10-6 kg∙m2 and a radius of 1.35 cm. A 255-g mass hangs from the other end of the string and is released. What is the acceleration of the cart?

A girl weighing 450. N sits on one end of a seesaw that is 3.0 m long and is pivoted 1.3 m from the girl. If the seesaw is just balanced when a boy sits at the opposite end, what is his weight? Neglect the weight of the seesaw.

FIGURE 11-5 -An 82.0 kg-diver stands at the edge of a light 5.00-m diving board, which is supported by two pillars 1.60 m apart, as shown in Figure 11-5. Find the force exerted by pillar A.

A light board, 10 m long, is supported by two sawhorses, one at one edge of the board and a second at the midpoint. A 40-N weight is placed between the two sawhorses, 3.0 m from the edge and 2.0 m from the center. What forces are exerted by the sawhorses on the board?

FIGURE 11-2 -A figure skater is spinning slowly with arms outstretched. She brings her arms in close to her body and her moment of inertia decreases by 1/2. Her angular speed increases by a factor of

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10-6 kg∙m2 and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the acceleration of the cart?

An ice skater doing a spin pulls in her arms, decreasing her moment of inertia by a factor of two. How does her angular speed changes?

You are holding a finishing sander with your right hand. The sander has a flywheel which spins counterclockwise as seen from behind the handle. You are sanding a wall in front of you. As you turn the sander towards the right, you feel a tendency in the sander to

An object in motion with constant speed along a straight line can never have nonzero angular momentum.

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A 330-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 5.00 x 10^-6 kg∙m² and a radius of 1.35 cm. A 255-g mass hangs from the other end of the string and is released. What is the acceleration of the cart?

A 350-g air track cart on a horizontal air track is attached to a string that goes over a pulley with a moment of inertia of 6.00 × 10^-6 kg∙m² and a radius of 1.35 cm. The string is pulled vertically downward by a force of 2.50 N. What is the acceleration of the cart?