Practice Spinning Gears (7.4) - Rigid Body Motion in the Plane - Engineering Mechanics
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Spinning Gears

Practice - Spinning Gears

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a rigid body?

💡 Hint: Think about objects that don’t change as they move.

Question 2 Easy

Define angular velocity.

💡 Hint: Remember it relates to how fast the angle is changing.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the angular displacement?

The rotation speed of an object
The angle an object has rotated
The axis of rotation

💡 Hint: Think about how angles are involved in rotation.

Question 2

True or False: Angular momentum is dependent on the mass of the rotating object.

True
False

💡 Hint: Remember the formula L = Iω.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A system of two gears with moments of inertia 3 kgm² and 4 kgm² respectively is connected. If the smaller gear spins at 5 rad/s, what will be the angular velocity of the larger gear?

💡 Hint: Remember to apply the principle of conservation of angular momentum.

Challenge 2 Hard

Design a gear mechanism that can effectively transmit torque from a motor to a wheel with specific gear ratios. Explain your rationale for the selected ratios.

💡 Hint: Consider how the gear ratio influences speed and torque in the system.

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Reference links

Supplementary resources to enhance your learning experience.