A ventilation fan with a moment of inertia of 0.040 kg·m2 has a net torque of 0.160 N·m applied to it.What angular acceleration does it experience?

A) 0.0064 rad/s2 B) 4.0 rad/s2 C) 0.25 rad/s2 D) 0.40 rad/s2 E) 0.20 rad/s2 A) 0.0064 rad/s2 B) 4.0 rad/s2 C) 0.25 rad/s2 D) 0.40 rad/s2 E) 0.20 rad/s2

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp,inclined 15°,and rolls to the bottom without slipping.(For a cylinder I = MR2. )The upper end of the ramp is 1.5 m higher than the lower end.Find the linear speed of the cylinder when it reaches the bottom of the ramp.(g = 9.8 m/s2)

A) 4.7 m/s B) 4.4 m/s C) 4.0 m/s D) 2.4 m/s A) 4.7 m/s B) 4.4 m/s C) 4.0 m/s D) 2.4 m/s

Exam 8: Rotational Equilibrium and Dynamics

An object consists of a rod (of length 3.00 m and negligible moment of inertia)to which four small 3.50-kg masses are attached,one at each end and one at each point on the rod spaced at 1.00-m intervals.The moment of inertia of this object about an axis perpendicular to the rod and through one of the end masses:

(Multiple Choice)

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Question 41

A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.8 × 10−² kg·m²,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.30 m/s,what is its angular speed?

(Multiple Choice)

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Question 42

The Earth's density increases with depth.If instead the Earth had uniform density,but the same angular velocity and mass,how would its rotational kinetic energy compare to the actual value?

(Multiple Choice)

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Question 43

A bucket of water with total mass 20.0 kg is attached to a rope,which in turn is wound around a 4.00-cm 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 8.00 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 44

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

(Multiple Choice)

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Question 45

A solid sphere of mass 2.50 kg and radius 0.120 m starts from rest at the top of a ramp inclined 15.0° and rolls to the bottom.The upper end of the ramp is 1.60 m higher than the lower end.What is the linear speed of the sphere when it reaches the bottom of the ramp? (Note: I = MR² for a solid sphere,and g = 9.80 m/s². )

(Multiple Choice)

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Question 46

A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.80 × 10−² kg·m²,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.00 m/s,what is its total kinetic energy?

(Multiple Choice)

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Question 47

A ventilation fan with a moment of inertia of 0.040 kg·m² has a net torque of 0.160 N·m applied to it.What angular acceleration does it experience?

(Multiple Choice)

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Question 48

A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape.Each baton was 0.70 m long and each ball on the end is 0.10 kg.(Ignore the mass of the rods. )What is the moment of inertia if the arrangement is spun around an axis through the center perpendicular to both rods?

(Multiple Choice)

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Question 49

A tetherball is attached to a pole with a 2.0-m rope.It is circling at 0.20 rev/s.As the rope wraps around the pole,it shortens.How long is the rope when the ball is moving at 6.0 m/s?

(Multiple Choice)

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Question 50

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp,inclined 15°,and rolls to the bottom without slipping.(For a cylinder I = MR². )The upper end of the ramp is 1.5 m higher than the lower end.Find the linear speed of the cylinder when it reaches the bottom of the ramp.(g = 9.8 m/s²)

(Multiple Choice)

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Question 51

A rod of length L is hinged at one end.The moment of inertia as the rod rotates around that hinge is ML²/3.Suppose a 2.00-m rod with a mass of 6.00 kg is hinged at one end and is held in a horizontal position.The rod is released as the free end is allowed to fall.What is the angular acceleration as it is released?

(Multiple Choice)

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Question 52

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 4g = 39.2 m/s²?

(Multiple Choice)

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Question 53

A bucket of water with total mass 24.0 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 0.35 m is attached to the end of the cylinder.What minimum force directed perpendicular to the crank handle is required to just raise the bucket? (Assume the rope's mass is negligible,that the cylinder turns on frictionless bearings,and that g = 9.8 m/s². )

(Multiple Choice)

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Question 54

A solid sphere,a solid cylinder,and a hoop each have the same mass and radius.If they are spinning at the same angular velocity,which one has the greatest rotational kinetic energy?

(Multiple Choice)

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Question 55

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 9.0 s later?

(Multiple Choice)

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Question 56

A 5.0-kg mass is placed at (3.0,4.0)m,and a 6.0-kg mass is placed at (3.0,−4.0)m.What is the moment of inertia of this system of masses about the x axis?

(Multiple Choice)

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Question 57

A hoop with mass,M,and radius,R,rolls along a level surface without slipping with a linear speed,v.What is the ratio of rotational to linear kinetic energy? (For a hoop,I = MR². )

(Multiple Choice)

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Question 58

An 8.4-kg mass is placed at (3.0,4.0)m.Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?

(Multiple Choice)

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Question 59

A cylinder with its mass concentrated toward the center has a moment of inertia of 0.2MR².If this cylinder is rolling without slipping along a level surface with a linear speed v,what is the ratio of its rotational kinetic energy to its linear kinetic energy?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 82

Exam 8: Rotational Equilibrium and Dynamics

A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.8 × 10−2 kg·m2,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.30 m/s,what is its angular speed?

The Earth's density increases with depth.If instead the Earth had uniform density,but the same angular velocity and mass,how would its rotational kinetic energy compare to the actual value?

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

A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.80 × 10−2 kg·m2,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.00 m/s,what is its total kinetic energy?

A ventilation fan with a moment of inertia of 0.040 kg·m2 has a net torque of 0.160 N·m applied to it.What angular acceleration does it experience?

A tetherball is attached to a pole with a 2.0-m rope.It is circling at 0.20 rev/s.As the rope wraps around the pole,it shortens.How long is the rope when the ball is moving at 6.0 m/s?

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 4g = 39.2 m/s2?

A solid sphere,a solid cylinder,and a hoop each have the same mass and radius.If they are spinning at the same angular velocity,which one has the greatest rotational kinetic energy?

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 9.0 s later?

A 5.0-kg mass is placed at (3.0,4.0)m,and a 6.0-kg mass is placed at (3.0,−4.0)m.What is the moment of inertia of this system of masses about the x axis?

A hoop with mass,M,and radius,R,rolls along a level surface without slipping with a linear speed,v.What is the ratio of rotational to linear kinetic energy? (For a hoop,I = MR2. )

An 8.4-kg mass is placed at (3.0,4.0)m.Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?

A cylinder with its mass concentrated toward the center has a moment of inertia of 0.2MR2.If this cylinder is rolling without slipping along a level surface with a linear speed v,what is the ratio of its rotational kinetic energy to its linear kinetic energy?

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A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.8 × 10−² kg·m²,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.30 m/s,what is its angular speed?

A bowling ball has a mass of 7.00 kg,a moment of inertia of 2.80 × 10−² kg·m²,and a radius of 0.100 m.If it rolls down the lane without slipping at a linear speed of 4.00 m/s,what is its total kinetic energy?

A ventilation fan with a moment of inertia of 0.040 kg·m² has a net torque of 0.160 N·m applied to it.What angular acceleration does it experience?

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 4g = 39.2 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 9.0 s later?

A hoop with mass,M,and radius,R,rolls along a level surface without slipping with a linear speed,v.What is the ratio of rotational to linear kinetic energy? (For a hoop,I = MR². )

A cylinder with its mass concentrated toward the center has a moment of inertia of 0.2MR².If this cylinder is rolling without slipping along a level surface with a linear speed v,what is the ratio of its rotational kinetic energy to its linear kinetic energy?