A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder, with crank, at the top of a well.The moment of inertia of the cylinder and crank is 0.12 kg*m2.The bucket is raised to the top of the well and released to fall back into the well.What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 8.0 m/s?

A) 2.1 * 103 J B) 1.5 * 103 J C) 0.70 * 103 J D) 0.40 * 103 J A) 2.1 * 103 J B) 1.5 * 103 J C) 0.70 * 103 J D) 0.40 * 103 J

A uniform bridge span weighs 50.0 * 103 N and is 40.0 m long.An automobile weighing 15.0 * 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the left pier provide?

A) 29.5 * 103 N B) 35.5 * 103 N C) 65.0 * 103 N D) 32.5 * 103 N A) 29.5 * 103 N B) 35.5 * 103 N C) 65.0 * 103 N D) 32.5 * 103 N

A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder at the top of a well.A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg*m2.If the bucket is raised to the top of the well and released, what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g = 9.8 m/s2.)

A) 3.2 m/s2 B) 6.3 m/s2 C) 7.4 m/s2 D) 9.8 m/s2 A) 3.2 m/s2 B) 6.3 m/s2 C) 7.4 m/s2 D) 9.8 m/s2

Exam 8: Rotational Equilibrium and Rotational Dynamics

A meter stick is hinged at its lower end and allowed to fall from a vertical position.If its moment of inertia is ML²/3, with what angular speed does it hit the table?

(Multiple Choice)

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Question 61

A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder, with crank, at the top of a well.The moment of inertia of the cylinder and crank is 0.12 kg*m².The bucket is raised to the top of the well and released to fall back into the well.What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 8.0 m/s?

(Multiple Choice)

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Question 62

A uniform meter stick balances on a fulcrum placed at the 40 cm mark when a weight W is placed at the 30 cm mark.What is the weight of the meter stick?

(Multiple Choice)

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Question 63

A hoop of radius 1.0 m is placed in the first quadrant of an xy-coordinate system with its rim touching both the x-axis and the y-axis.What are the coordinates of its center of gravity?

(Multiple Choice)

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Question 64

If a net torque is applied to an object, that object will experience:

(Multiple Choice)

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Question 65

A uniform bridge span weighs 50.0 * 10³ N and is 40.0 m long.An automobile weighing 15.0 * 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the left pier provide?

(Multiple Choice)

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Question 66

A rotating flywheel can be used as a method to store energy.If it has 1.0 * 10⁶ J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.0 N*m acts on the system, in what interval of time would the flywheel come to rest?

(Multiple Choice)

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Question 67

An 800-N billboard worker stands on a 4.0-m scaffold weighing 500 N and supported by vertical ropes at each end.How far would the worker stand from one of the supporting ropes to produce a tension of 550 N in that rope?

(Multiple Choice)

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Question 68

An astronaut is on a 100-m lifeline outside a spaceship, circling the ship with an angular speed of 0.100 rad/s.How far inward can she be pulled before the centripetal acceleration reaches 5g = 49 m/s²?

(Multiple Choice)

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Question 69

A ventilation fan with a moment of inertia of 0.034 kgm² has a net torque of 0.11 Nm applied to it.If it starts from rest, what angular momentum will it have 8.0 s later?

(Multiple Choice)

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Question 70

A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder at the top of a well.A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg*m².If the bucket is raised to the top of the well and released, what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g = 9.8 m/s².)

(Multiple Choice)

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Question 71

The quantity "moment of inertia" (in terms of the fundamental quantities of mass, length, and time) is equivalent to:

(Multiple Choice)

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Question 72

A woman who weighs 500 N stands on an 8.0-m-long board that weighs 100 N.The board is supported at each end.The support force at the right end is 3 times the support force at the left end.How far from the right end is the woman standing?

(Multiple Choice)

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Question 73

The quantity "angular momentum" (in terms of the fundamental quantities of mass, length, and time) is equivalent to:

(Multiple Choice)

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Question 74

A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15 $\degree$ .It rolls to the bottom without slipping.The upper end of the ramp is 1.2 m higher than the lower end.Find the sphere's total kinetic energy when it reaches the bottom.

(Multiple Choice)

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Question 75

A baseball pitcher loosens up his pitching arm.He tosses a 0.15-kg ball using only the rotation of his forearm, 0.32 m in length, to accelerate the ball.If the ball starts at rest and is released with a speed of 12 m/s in a time of 0.40 s, what torque is applied to the ball while being held by the pitcher's hand to produce the angular acceleration?

(Multiple Choice)

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Question 76

An automobile accelerates from zero to 30 m/s in 6.0 s.The wheels have a diameter of 0.40 m.What is the average angular acceleration of each wheel?

(Multiple Choice)

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Question 77

Two equal magnitude forces are in opposite directions and their lines of action are separated by distance d.These two forces are applied to a solid disk, which is mounted on a frictionless axle.If d is half the radius r of the disk, which of the following positions for the forces would give the most torque.

(Multiple Choice)

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Question 78

A figure skater on ice with arms extended, spins at a rate of 2.5 rev/s.After he draws his arms in, he spins at 6.0 rev/s.By what factor does the skater's kinetic energy change when he draws his arms in?

(Multiple Choice)

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Question 79

A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder at the top of a well.The bucket is raised to the top of the well and released.The bucket is moving with a speed of 8.0 m/s upon hitting the water surface in the well.What is the angular speed of the cylinder at this instant?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 83

Exam 8: Rotational Equilibrium and Rotational Dynamics

A meter stick is hinged at its lower end and allowed to fall from a vertical position.If its moment of inertia is ML2/3, with what angular speed does it hit the table?

A uniform meter stick balances on a fulcrum placed at the 40 cm mark when a weight W is placed at the 30 cm mark.What is the weight of the meter stick?

A hoop of radius 1.0 m is placed in the first quadrant of an xy-coordinate system with its rim touching both the x-axis and the y-axis.What are the coordinates of its center of gravity?

If a net torque is applied to an object, that object will experience:

A uniform bridge span weighs 50.0 * 103 N and is 40.0 m long.An automobile weighing 15.0 * 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the left pier provide?

A rotating flywheel can be used as a method to store energy.If it has 1.0 * 106 J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.0 N*m acts on the system, in what interval of time would the flywheel come to rest?

An 800-N billboard worker stands on a 4.0-m scaffold weighing 500 N and supported by vertical ropes at each end.How far would the worker stand from one of the supporting ropes to produce a tension of 550 N in that rope?

An astronaut is on a 100-m lifeline outside a spaceship, circling the ship with an angular speed of 0.100 rad/s.How far inward can she be pulled before the centripetal acceleration reaches 5g = 49 m/s2?

A ventilation fan with a moment of inertia of 0.034 kg*m2 has a net torque of 0.11 N*m applied to it.If it starts from rest, what angular momentum will it have 8.0 s later?

The quantity "moment of inertia" (in terms of the fundamental quantities of mass, length, and time) is equivalent to:

A woman who weighs 500 N stands on an 8.0-m-long board that weighs 100 N.The board is supported at each end.The support force at the right end is 3 times the support force at the left end.How far from the right end is the woman standing?

The quantity "angular momentum" (in terms of the fundamental quantities of mass, length, and time) is equivalent to:

A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15 °\degree° .It rolls to the bottom without slipping.The upper end of the ramp is 1.2 m higher than the lower end.Find the sphere's total kinetic energy when it reaches the bottom.

An automobile accelerates from zero to 30 m/s in 6.0 s.The wheels have a diameter of 0.40 m.What is the average angular acceleration of each wheel?

A figure skater on ice with arms extended, spins at a rate of 2.5 rev/s.After he draws his arms in, he spins at 6.0 rev/s.By what factor does the skater's kinetic energy change when he draws his arms in?

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The Laws of Motion

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A meter stick is hinged at its lower end and allowed to fall from a vertical position.If its moment of inertia is ML²/3, with what angular speed does it hit the table?

A uniform bridge span weighs 50.0 * 10³ N and is 40.0 m long.An automobile weighing 15.0 * 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the left pier provide?

A rotating flywheel can be used as a method to store energy.If it has 1.0 * 10⁶ J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.0 N*m acts on the system, in what interval of time would the flywheel come to rest?

An astronaut is on a 100-m lifeline outside a spaceship, circling the ship with an angular speed of 0.100 rad/s.How far inward can she be pulled before the centripetal acceleration reaches 5g = 49 m/s²?

A ventilation fan with a moment of inertia of 0.034 kgm² has a net torque of 0.11 Nm applied to it.If it starts from rest, what angular momentum will it have 8.0 s later?

A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15 $\degree$ .It rolls to the bottom without slipping.The upper end of the ramp is 1.2 m higher than the lower end.Find the sphere's total kinetic energy when it reaches the bottom.