An Atwood machine has a mass of 3.50 kg connected by a light string to a mass of 6.00 kg over a pulley with a moment of inertia of 0.0352 kg m2 and a radius of 12.5 cm. If the system is released from rest, what is the speed of the masses after they have moved through 1.25 m?

A) 2.00 m/s B) 2.28 m/s C) 4.00 m/s D) 4.95 m/s E) 6.00 m/s A) 2.00 m/s B) 2.28 m/s C) 4.00 m/s D) 4.95 m/s E) 6.00 m/s

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s2. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

A) 83.2 rad B) 316 rad C) 697 rad D) 66.8 rad E) 948 rad A) 83.2 rad B) 316 rad C) 697 rad D) 66.8 rad E) 948 rad

Exam 10: Rotational Kinematics and Energy

An Atwood machine has a mass of 3.50 kg connected by a light string to a mass of 6.00 kg over a pulley with a moment of inertia of 0.0352 kg m² and a radius of 12.5 cm. If the system is released from rest, what is the speed of the masses after they have moved through 1.25 m?

(Multiple Choice)

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Question 61

Express an angle of 450° in radians.

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Question 62

A centrifuge takes 100 s to spin up from rest to its final angular speed with constant angular acceleration. A point located 8.00 cm from the axis of rotation of the centrifuge moves with a speed of 150 m/s when the centrifuge is at full speed. (a) What is the average angular acceleration of the centrifuge as it spins up? (b) How many revolutions does the centrifuge make as it goes from rest to its final angular speed?

(Short Answer)

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Question 63

A car is traveling along a highway at 65 mph. What is the linear speed of the top of the tires? What is the linear speed at the bottom of the tires?

(Short Answer)

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Question 64

A 10-m plank is being moved by rolling it over two cylindrical logs with a radius of 20 cm, placed 2 m from either end of the plank. As the plank is pushed, the logs roll on the ground without slipping, and they do not slip with respect to the plank. Through what angle will the logs have rotated when the plank has moved 2 m?

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Question 65

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/ . The child is standing 4.65 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?

(Multiple Choice)

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Question 66

FIGURE 10-1 -A ball is released from rest on a no-slip surface, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown in Figure 10-1. When the ball reaches its maximum height on the frictionless surface, it is

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Question 67

Two uniform solid spheres have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

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Question 68

A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom?

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Question 69

Two balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down an incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

(Multiple Choice)

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Question 70

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s². Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

(Multiple Choice)

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Question 71

A car is traveling along a highway at 65 mph. Which point in the tires is moving forward at 65 mph?

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Question 72

An artificial satellite in a low orbit circles the earth every 98.0 minutes. What is its angular speed in rad/s?

(Short Answer)

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Question 73

A scooter has wheels with a diameter of 120 mm. What is the angular speed of the wheels when the scooter is moving forward at 6.00 m/s?

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Question 74

A spool whose inner core has a radius of 1.00 cm and whose end caps have a radius of 1.50 cm has a string tightly wound around the inner core. The spool is free to roll without slipping on a horizontal surface. If the string unwinds horizontally from the bottom of the core with a constant speed of 25.0 cm/s, what is the speed of the spool?

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Question 75

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR². (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline. (c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

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Question 76

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger tangential acceleration?

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Question 77

Mass can be considered concentrated at the center of mass for rotational motion.

(True/False)

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Question 78

What is the angular speed in rad/s of the minute hand of a clock?

(Short Answer)

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Question 79

Suppose a solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

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Question 80

Showing 61 - 80 of 102

Exam 10: Rotational Kinematics and Energy

An Atwood machine has a mass of 3.50 kg connected by a light string to a mass of 6.00 kg over a pulley with a moment of inertia of 0.0352 kg m2 and a radius of 12.5 cm. If the system is released from rest, what is the speed of the masses after they have moved through 1.25 m?

Express an angle of 450° in radians.

A car is traveling along a highway at 65 mph. What is the linear speed of the top of the tires? What is the linear speed at the bottom of the tires?

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/ . The child is standing 4.65 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?

FIGURE 10-1 -A ball is released from rest on a no-slip surface, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown in Figure 10-1. When the ball reaches its maximum height on the frictionless surface, it is

Two uniform solid spheres have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom?

Two balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down an incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s2. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

A car is traveling along a highway at 65 mph. Which point in the tires is moving forward at 65 mph?

An artificial satellite in a low orbit circles the earth every 98.0 minutes. What is its angular speed in rad/s?

A scooter has wheels with a diameter of 120 mm. What is the angular speed of the wheels when the scooter is moving forward at 6.00 m/s?

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger tangential acceleration?

Mass can be considered concentrated at the center of mass for rotational motion.

What is the angular speed in rad/s of the minute hand of a clock?

Suppose a solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

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An Atwood machine has a mass of 3.50 kg connected by a light string to a mass of 6.00 kg over a pulley with a moment of inertia of 0.0352 kg m² and a radius of 12.5 cm. If the system is released from rest, what is the speed of the masses after they have moved through 1.25 m?

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s². Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?