A hollow sphere, solid sphere, and thin hoop are simultaneously released from rest at the top of an #incline. Which will reach the bottom first? Assume all objects are of uniform density. #RollingWithoutSlipping Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:12 The problem

0:46 #ConservationOfEnergy

2:22 General solution

3:55 The order of the objects

5:20 The demonstration

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Previous Video: Rolling Acceleration Down an Incline

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]]>Example: Determine the #Acceleration of a uniform, solid cylinder #RollingWithoutSlipping down an #Incline with incline angle θ. The rotational inertia of a uniform, solid cylinder about its long cylindrical axis is ½MR^2. Assume the cylinder starts from rest. Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:07 The problem

0:43 #ConservationOfEnergy

2:32 Rolling without Slipping

3:32 Displacement and height

5:12 Understanding our solution

6:16 Demonstrating our answer

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Previous Video: Rolling Without Slipping Introduction and Demonstrations

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]]>Rolling without Slipping is demonstrated and the equation for velocity of the center of mass is derived. A cycloid is demonstrated. Kinetic energy, distance, and acceleration of rolling without slipping is discussed. Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:06 #RollingWithoutSlipping

0:28 #Cycloid

1:15 Translation and Rotational

3:13 Center of Mass Velocity

4:10 Resultant Velocity

4:37 Kinetic Energy

4:58 Distance and Acceleration

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Previous Video: Torque - Mass on Plank with String

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]]>Example: A 0.300 kg mass rests on a 0.395 m long, 0.764 kg, uniform wooden plank supported by a string as shown in the figure. If the mass is 0.274 m from the wall and the angle between the string and the plank is 32.1°, (a) What is the force of tension in the string? and (b) What is the normal force from the wall? Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:07 The problem

1:17 The free body diagram

3:45 Net torque

5:41 Substituting in numbers

6:53 Net force

8:02 The demonstration

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Previous Video: 2 Masses on a Pulley - Conservation of Energy Demonstration

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]]>Example: Mass 1 and mass 2 hang from either side of a frictionless #pulley with #rotationalInertia, I, and radius, R. What is the angular acceleration of the pulley? Use #ConservationOfEnergy Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:07 The problem

1:01 Conservation of Energy

2:29 The mechanical energies

4:07 Solving the problem

5:57 Using arc length

Next Video: Torque - Mass on Plank with String

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Previous Video: 2 Masses on a Pulley - Torque Demonstration

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]]>Example: 0.100 kg and 0.200 kg masses hang from either side of a frictionless #Pulley with a rotational inertia of 0.0137 kg·m^2 and radius of 0.0385 m. (a) What is the #AngularAcceleration of the pulley? (b) What is the #TensionForce in each string? Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:08 The problem

1:29 The free body diagrams

2:51 Net torque on the pulley

4:28 Net forces on both masses

6:49 Tangentail acceleration

7:31 Solving for acceleration

8:55 Measuring acceleration

10:16 Solving for Tension

12:29 2 incorrect solutions

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Previous Video: Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration

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]]>We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.

Want Lecture Notes? This is an AP Physics 😄 Mechanics Topic.

Content Times:

0:15 Rotational Inertia

0:42 Linear Mass Density

1:51 About Center of Mass

3:02 About an End

4:27 Rotational Inertia Demonstrator (RID)

6:09 About Center of RID

7:03 Comparing our answers

7:43 Demonstrating our answer

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Graphing the Rotational Inertia of an Irregular Shape

Previous Video: How the Force of Tension on a Pulley Changes with Acceleration

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]]>We predict and measure the force of tension acting on a pulley while the system is at rest and accelerating. #PulleyTensionForce Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:20 The data

0:45 Review

1:15 Tension while at rest

2:45 Accelerating tension

Next Video: Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration

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Previous Video: Graphing the Rotational Inertia of an Irregular Shape

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]]>We determine what data to collect to create a graph with rotational inertia as the slope of the best-fit line. #RotationalInertia - Then we collect the data and determine the rotational inertia of an irregular shape. Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:11 The problem

0:46 Free Body Diagram

1:31 Net Torque

3:01 Trial #1

3:52 Angular Acceleration

5:20 12 Trials and Graph

6:29 Deriving Units

Next Video: How the Force of Tension on a Pulley Changes with Acceleration

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Previous Video: Painter on a Scaffold - Don't Fall Off!!

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]]>Example: What is the closest to the end of a 93 g uniform meterstick you can place a 200.0 g object and have the system stay balanced? The meterstick is supported at the 20.0 cm and 80.0 cm marks. Want Lecture Notes? This is an AP Physics 1 Topic.

Content Times:

0:03 A scaffold

0:33 The problem

1:28 Free body diagram

2:06 Net torque

3:34 Force Normal demo

4:28 Solving the problem

6:17 Testing our answer

Next Video: Graphing the Rotational Inertia of an Irregular Shape

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Previous Video: Placing the Fulcrum on a Seesaw

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