A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m2.A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

A) 2.5 rad/s2 B) 5.0 rad/s2 C) 10 rad/s2 D) 15 rad/s2 E) 20 rad/s2 A) 2.5 rad/s2 B) 5.0 rad/s2 C) 10 rad/s2 D) 15 rad/s2 E) 20 rad/s2

The rotational inertia of a disk about its axis is 0.70 kg.m2.When a 2.0 kg weight is added to its rim, 0.40 m from the axis, the rotational inertia becomes:

A) 0.32 kg.m2 B) 0.54 kg.m2 C) 0.70 kg.m2 D) 0.86 kg.m2 E) 1.0 kg.m2 A) 0.32 kg.m2 B) 0.54 kg.m2 C) 0.70 kg.m2 D) 0.86 kg.m2 E) 1.0 kg.m2

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML2/12.When pivoted about a parallel axis through one end, its rotational inertia is:

A) ML2/12 B) ML2/6 C) ML2/3 D) 7ML2/12 E) 13ML2/12 A) ML2/12 B) ML2/6 C) ML2/3 D) 7ML2/12 E) 13ML2/12

A wheel starts from rest and has an angular acceleration that is given by $\alpha$(t)= 6 rad/s4)t2.The angle through which it turns in time t is given by:

A) [(1/8)t4] rad/s4 B) [(1/4)t4] rad/s4 C) [(1/2)t4] rad/s4 D) (t4)rad/s4 E) 12 rad A) [(1/8)t4] rad/s4 B) [(1/4)t4] rad/s4 C) [(1/2)t4] rad/s4 D) (t4)rad/s4 E) 12 rad

A thin rod of length L has a density that increases along its length, ρ = ρ0x.What is the rotational inertia of the rod around its less dense end?

A) ML2/12 B) ML2/6 C) ML2/3 D) ML2/2 E) ML2 A) ML2/12 B) ML2/6 C) ML2/3 D) ML2/2 E) ML2

Exam 10: Rotation

A disk with a rotational inertia of 5.0 kg .m² and a radius of 0.25 m rotates on a frictionless fixed axis perpendicular to the disk and through its center.A force of 8.0 N is applied tangentially to the rim.If the disk starts at rest, then after it has turned through half a revolution its angular velocity is:

(Multiple Choice)

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Question 61

Wrapping paper is being unwrapped from a 5.0-cm radius tube, free to rotate on its axis.If it is pulled at the constant rate of 10 cm/s and does not slip on the tube, the angular velocity of the tube is:

(Multiple Choice)

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Question 62

A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m².A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

(Multiple Choice)

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Question 63

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark.A horizontal force is applied perpendicularly to the end of the stick at 0 cm, as shown.A second horizontal force (not shown)is applied at the 100-cm end of the stick.If the stick does not rotate:

(Multiple Choice)

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Question 64

Three balls, with masses of 3M, 2M, and M, are fastened to a massless rod of length L as shown.The rotational inertia about the left end of the rod is:

(Multiple Choice)

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Question 65

The rotational inertia of a disk about its axis is 0.70 kg.m².When a 2.0 kg weight is added to its rim, 0.40 m from the axis, the rotational inertia becomes:

(Multiple Choice)

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Question 66

A small disk of radius R₁ is fastened coaxially to a larger disk of radius R₂.The combination is free to rotate on a fixed axle, which is perpendicular to a horizontal frictionless table top, as shown in the overhead view below.The rotational inertia of the combination is I.A string is wrapped around the larger disk and attached to a block of mass m, on the table.Another string is wrapped around the smaller disk and is pulled with a force as shown.The tension in the string pulling the block is:

(Multiple Choice)

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Question 67

String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis.The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder.As each small segment of string leaves the cylinder, the segment's acceleration changes by:

(Multiple Choice)

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Question 68

The magnitude of the acceleration of a point on a spinning wheel is increased by a factor of 4 if:

(Multiple Choice)

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Question 69

A wheel initially has an angular velocity of 36 rad/s but after 6.0s its angular velocity is 24 rad/s.If its angular acceleration is constant the value is:

(Multiple Choice)

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Question 70

Ten seconds after an electric fan is turned on, the fan rotates at 300 rev/min.Its average angular acceleration is:

(Multiple Choice)

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Question 71

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML²/12.When pivoted about a parallel axis through one end, its rotational inertia is:

(Multiple Choice)

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Question 72

A flywheel is initially rotating at 20 rad/s and has a constant angular acceleration.After 9.0 s it has rotated through 450 rad.Its angular acceleration is:

(Multiple Choice)

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Question 73

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR², where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

(Multiple Choice)

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Question 74

The angular velocity vector of a spinning body points out of the page.If the angular acceleration vector points into the page then:

(Multiple Choice)

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Question 75

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= 6 rad/s⁴)t^2.The angle through which it turns in time t is given by:

(Multiple Choice)

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Question 76

If a wheel is turning at 3.0 rad/s, the time it takes to complete one revolution is about:

(Multiple Choice)

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Question 77

A thin rod of length L has a density that increases along its length, ρ = ρ₀x.What is the rotational inertia of the rod around its less dense end?

(Multiple Choice)

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Question 78

For a wheel spinning on an axis through its center, the ratio of the tangential acceleration of a point on the rim to the tangential acceleration of a point halfway between the center and the rim is:

(Multiple Choice)

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Question 79

A wheel rotates with a constant angular acceleration of $\pi$ rad/s².During a certain time intervalits angular displacement is $\pi$ rad.At the end of the interval its angular velocity is 2 $\pi$ rad/s.Its angular velocity at the beginning of the interval is:

(Multiple Choice)

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Question 80

Showing 61 - 80 of 99

Exam 10: Rotation

Wrapping paper is being unwrapped from a 5.0-cm radius tube, free to rotate on its axis.If it is pulled at the constant rate of 10 cm/s and does not slip on the tube, the angular velocity of the tube is:

A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m2.A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark.A horizontal force is applied perpendicularly to the end of the stick at 0 cm, as shown.A second horizontal force (not shown)is applied at the 100-cm end of the stick.If the stick does not rotate:

Three balls, with masses of 3M, 2M, and M, are fastened to a massless rod of length L as shown.The rotational inertia about the left end of the rod is:

The rotational inertia of a disk about its axis is 0.70 kg.m2.When a 2.0 kg weight is added to its rim, 0.40 m from the axis, the rotational inertia becomes:

String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis.The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder.As each small segment of string leaves the cylinder, the segment's acceleration changes by:

The magnitude of the acceleration of a point on a spinning wheel is increased by a factor of 4 if:

A wheel initially has an angular velocity of 36 rad/s but after 6.0s its angular velocity is 24 rad/s.If its angular acceleration is constant the value is:

Ten seconds after an electric fan is turned on, the fan rotates at 300 rev/min.Its average angular acceleration is:

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML2/12.When pivoted about a parallel axis through one end, its rotational inertia is:

A flywheel is initially rotating at 20 rad/s and has a constant angular acceleration.After 9.0 s it has rotated through 450 rad.Its angular acceleration is:

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR2, where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

The angular velocity vector of a spinning body points out of the page.If the angular acceleration vector points into the page then:

A wheel starts from rest and has an angular acceleration that is given by α\alphaα (t)= 6 rad/s4)t2.The angle through which it turns in time t is given by:

If a wheel is turning at 3.0 rad/s, the time it takes to complete one revolution is about:

A thin rod of length L has a density that increases along its length, ρ = ρ0x.What is the rotational inertia of the rod around its less dense end?

For a wheel spinning on an axis through its center, the ratio of the tangential acceleration of a point on the rim to the tangential acceleration of a point halfway between the center and the rim is:

A wheel rotates with a constant angular acceleration of π\piπ rad/s2.During a certain time interval its angular displacement is π\piπ rad.At the end of the interval its angular velocity is 2 π\piπ rad/s.Its angular velocity at the beginning of the interval is:

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A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m².A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

The rotational inertia of a disk about its axis is 0.70 kg.m².When a 2.0 kg weight is added to its rim, 0.40 m from the axis, the rotational inertia becomes:

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML²/12.When pivoted about a parallel axis through one end, its rotational inertia is:

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR², where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= 6 rad/s⁴)t^2.The angle through which it turns in time t is given by:

A thin rod of length L has a density that increases along its length, ρ = ρ₀x.What is the rotational inertia of the rod around its less dense end?

A wheel rotates with a constant angular acceleration of $\pi$ rad/s².During a certain time intervalits angular displacement is $\pi$ rad.At the end of the interval its angular velocity is 2 $\pi$ rad/s.Its angular velocity at the beginning of the interval is: