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Dynamics of Rotational Motion Problem #6 - Calculating Torque with a Cross Product

Автор: Sine Theta Prime

Загружено: 2023-06-28

Просмотров: 191

Описание: While exploring a castle, Exena the Exterminator is spotted by a dragon that chases her down a hallway.
Exena runs into a room and attempts to swing the heavy door shut before the dragon gets her.

The door is initially perpendicular to the wall, so it must be turned through 90° to close.
The door is 3.00 m tall and 1.25 m wide, and it weighs 750 N.
You can ignore the friction at the hinges.

If Exena applies a force of 220 N at the edge of the door and perpendicular to it,
how much time does it take her to close the door?

Picture & Coordinate Setup
(0:32 - 2:25)

Torque Due to Door's Weight
(2:26 - 7:00)

Torque Due to Exena's Force
(7:01 - 8:13)

Sum of Torques About the Z-Axis & Solving for the Angular Acceleration
(8:14 - 10:22)

Using Rotational Kinematics to Solve for the Time
(10:23 - 12:15)

Solution
(12:16 - 12:34)

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Dynamics of Rotational Motion Problem #6 - Calculating Torque with a Cross Product

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