A thin uniform rod (length = 75.0 cm,mass = 1.0 kg)is pivoted about a horizontal frictionless pin through one end of the rod.The moment of inertia of the rod through this axis is (1/3)mL2.The rod is released when it is below the horizontal and it makes the angle $\theta$ with the horizontal.If the angular acceleration of the rod at the instant it is released is 15.0 rad/s2,what is the angle $\theta$?

A) 50S1U1P1$\circ$S1S1P0 B) 40S1U1P1$\circ$S1S1P0 C) 20S1U1P1$\circ$S1S1P0 D) 70S1U1P1$\circ$S1S1P0 E) 60S1U1P1$\circ$S1S1P0 A) 50S1U1P1$\circ$S1S1P0 B) 40S1U1P1$\circ$S1S1P0 C) 20S1U1P1$\circ$S1S1P0 D) 70S1U1P1$\circ$S1S1P0 E) 60S1U1P1$\circ$S1S1P0

The Earth can be treated as a sphere of radius 6.38 x 106 m and mass 5.98 * 1024kg.Find the angular momentum of the Earth in its orbit around the sun (R = 1.50 * 1011m).

A) 2.42 * 1031 kg m/s2 B) 7.18 * 1033 kg m/s2 C) 1.77 * 1033 kg m/s2 D) 1.07 * 1040 kg m/s2 E) 2.68 * 1040 kg m/s2 A) 2.42 * 1031 kg m/s2 B) 7.18 * 1033 kg m/s2 C) 1.77 * 1033 kg m/s2 D) 1.07 * 1040 kg m/s2 E) 2.68 * 1040 kg m/s2

Exam 10: Rotation

A yo-yo is made by wrapping a 2-m long string around a 500-g 10-cm diameter uniform disk.The string is fastened to the ceiling,and the yo-yo is released.What is the tension in the string as the yo-yo falls?

(Multiple Choice)

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Question 41

In loosening a nut with a wrench,which of the following methods exerts the most torque?

(Multiple Choice)

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Question 42

A 2-kg thin hoop with a 50-cm radius rolls down a 30-degree slope without slipping.If the hoop starts at rest at the top of the slope,what is its translational velocity after it rolls 10 m along the slope?

(Multiple Choice)

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Question 43

Which of the following has the largest moment of inertia?

(Multiple Choice)

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Question 44

A basketball is moving at 14.0 m/s at the base of a hill.Over what vertical distance does the basketball roll before it temporarily comes to rest at its highest elevation? Ignore friction and air resistance.

(Multiple Choice)

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Question 45

A 1.7-kg hoop rolls across the floor without slipping.The hoop has a diameter of 1.1 m.The ratio the translational to rotational kinetic energy of the hoop is

(Multiple Choice)

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Question 46

A thin uniform rod (length = 75.0 cm,mass = 1.0 kg)is pivoted about a horizontal frictionless pin through one end of the rod.The moment of inertia of the rod through this axis is (1/3)mL².The rod is released when it is below the horizontal and it makes the angle $\theta$ with the horizontal.If the angular acceleration of the rod at the instant it is released is 15.0 rad/s²,what is the angle $\theta$ ?

(Multiple Choice)

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Question 47

An extended object comprises two point masses m₁ and m₂ connected via a rigid massless rod of length L.The object is rotating at a constant angular velocity about an axis perpendicular to the page through the midpoint along the rod.Two time varying tangential forces F₁ and F₂ are applied to m₁ and m₂ respectively as shown in the figure.After the shown forces have been applied,the angular velocity of the object

(Multiple Choice)

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Question 48

The Earth can be treated as a sphere of radius 6.38 x 10⁶ m and mass 5.98 * 10²⁴kg.Find the angular momentum of the Earth in its orbit around the sun (R = 1.50 * 10¹¹m).

(Multiple Choice)

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Question 49

A solid cylinder rolls without slipping down an incline starting from rest.At the same time a box starts from rest at the same altitude and slides down the same incline with negligible friction.Which arrives at the bottom first?

(Multiple Choice)

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Question 50

Angular momentum is defined as

(Multiple Choice)

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Question 51

A bug (2 grams)crawls from the center to the edge of a disk that is freely turning at 20 rpm.The disk has a mass of 11 grams and a radius of 26 cm.What is the disk's new angular speed?

(Multiple Choice)

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Question 52

A 100-g hockey puck hits the end of a 1.5-m 1-kg stick lying on the ice at a velocity of 4 m/s perpendicular to the stick and bounces back at a speed of a 2 m/s.What is the rotational speed of the stick after the collision?

(Multiple Choice)

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Question 53

A child pedaling a bicycle with 33-cm diameter tires notices that the bike moves forward 1.9 m with each cycle of pedaling.If the front gear has 22 teeth,how many teeth does the back gear have?

(Multiple Choice)

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Question 54

The torque required to screw a nut completely onto bolt using a wrench is 0.300 Nm.If the nut is completely secure in 20.3 turns and the diameter of the screw is 0.90 cm,what is the constant frictional force between the bolt and the nut?

(Multiple Choice)

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Question 55

A force (in N)of is applied to an object at a location (in m)of (the origin is the pivot point).Find the magnitude of the torque produced {assume that each number has three significant digits}.

(Multiple Choice)

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Question 56

A torque of 2.2 *10³ Nm on a flywheel causes it to accelerate uniformly from rest to an angular speed of 125 radians per second in 12 seconds.If the radius of the flywheel is 1.20 m,what is the mass of the flywheel?

(Multiple Choice)

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Question 57

A flat disk with a radius of 0.71 m is attached to a string with tension 7.3 N.If it takes 12 seconds to reach 100 radians/sec from rest,what is the moment of inertia of the disk in kg-m²?

(Multiple Choice)

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Question 58

In a water molecule the angle between the two H-O bonds is 105^$\circ$ and the distance between the oxygen and hydrogen atoms is 9 * 10^-11 m.The mass of the hydrogen atom m_H is 1.67 * 10^-27 kg and that of the oxygen atom m_O = 16 m_H.The moment of inertia of the water molecule about an axis along one of the H-O bonds is

(Multiple Choice)

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Question 59

Which of the following statements is the one that is correct?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 78

Exam 10: Rotation

A yo-yo is made by wrapping a 2-m long string around a 500-g 10-cm diameter uniform disk.The string is fastened to the ceiling,and the yo-yo is released.What is the tension in the string as the yo-yo falls?

In loosening a nut with a wrench,which of the following methods exerts the most torque?

A 2-kg thin hoop with a 50-cm radius rolls down a 30-degree slope without slipping.If the hoop starts at rest at the top of the slope,what is its translational velocity after it rolls 10 m along the slope?

Which of the following has the largest moment of inertia?

A basketball is moving at 14.0 m/s at the base of a hill.Over what vertical distance does the basketball roll before it temporarily comes to rest at its highest elevation? Ignore friction and air resistance.

A 1.7-kg hoop rolls across the floor without slipping.The hoop has a diameter of 1.1 m.The ratio the translational to rotational kinetic energy of the hoop is

The Earth can be treated as a sphere of radius 6.38 x 106 m and mass 5.98 * 1024kg.Find the angular momentum of the Earth in its orbit around the sun (R = 1.50 * 1011m).

A solid cylinder rolls without slipping down an incline starting from rest.At the same time a box starts from rest at the same altitude and slides down the same incline with negligible friction.Which arrives at the bottom first?

Angular momentum is defined as

A bug (2 grams)crawls from the center to the edge of a disk that is freely turning at 20 rpm.The disk has a mass of 11 grams and a radius of 26 cm.What is the disk's new angular speed?

A 100-g hockey puck hits the end of a 1.5-m 1-kg stick lying on the ice at a velocity of 4 m/s perpendicular to the stick and bounces back at a speed of a 2 m/s.What is the rotational speed of the stick after the collision?

A child pedaling a bicycle with 33-cm diameter tires notices that the bike moves forward 1.9 m with each cycle of pedaling.If the front gear has 22 teeth,how many teeth does the back gear have?

The torque required to screw a nut completely onto bolt using a wrench is 0.300 Nm.If the nut is completely secure in 20.3 turns and the diameter of the screw is 0.90 cm,what is the constant frictional force between the bolt and the nut?

A force (in N)of is applied to an object at a location (in m)of (the origin is the pivot point).Find the magnitude of the torque produced {assume that each number has three significant digits}.

A torque of 2.2 *103 Nm on a flywheel causes it to accelerate uniformly from rest to an angular speed of 125 radians per second in 12 seconds.If the radius of the flywheel is 1.20 m,what is the mass of the flywheel?

A flat disk with a radius of 0.71 m is attached to a string with tension 7.3 N.If it takes 12 seconds to reach 100 radians/sec from rest,what is the moment of inertia of the disk in kg-m2?

Which of the following statements is the one that is correct?

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The Earth can be treated as a sphere of radius 6.38 x 10⁶ m and mass 5.98 * 10²⁴kg.Find the angular momentum of the Earth in its orbit around the sun (R = 1.50 * 10¹¹m).

A torque of 2.2 *10³ Nm on a flywheel causes it to accelerate uniformly from rest to an angular speed of 125 radians per second in 12 seconds.If the radius of the flywheel is 1.20 m,what is the mass of the flywheel?

A flat disk with a radius of 0.71 m is attached to a string with tension 7.3 N.If it takes 12 seconds to reach 100 radians/sec from rest,what is the moment of inertia of the disk in kg-m²?