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AP Unit I E 2

This educational content focuses on the principles of torque and rotational statics, providing students with essential skills to calculate torque magnitude and direction associated with forces. It covers the conditions for equilibrium of rigid bodies, including both translational and rotational aspects, and emphasizes the analysis of coplanar forces. Key concepts include the moment of inertia, angular acceleration, rotational kinetic energy, and conservation of angular momentum. Real-world applications, like a skater spinning on ice and satellites in orbit, illustrate these principles.

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AP Unit I E 2

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  1. AP Unit I E 2 Torque and rotational statics

  2. A) Students should understand the concept of torque, so they can: • (1) Calculate the magnitude and direction of the torque associated with a given force. • (2) Calculate the torque on a rigid body due to gravity. • (b) Students should be able to analyze problems in statics, so they can: • (1) State the conditions for translational and rotational equilibrium of a rigid object. • (2) Apply these conditions in analyzing the equilibrium of a rigid object under the combined influence of a number of coplanar forces applied at different locations.

  3. Torque • Torque (τ) = Force (F) x perpendicular distance (r) from the pivot or point of rotation • τ = rF Sin θ • Torque is measured in N m

  4. Conditions for Equilibrium • Translational Equilibrium • ΣF = 0 • Rotational Equilibrium • Στ = 0

  5. Center of gravity • Lies on axis of symmetry

  6. Moment of Inertia • Moment of Inertia I = Σ m r2 • α = angular acceleration (ω2 – ω1)/ Δt • Στ =I α

  7. Rotational Kinetic Energy • KR = ½ I ω2

  8. Angular momentum • Angular Momentum L must always be conserved • L = I ω • Example: Skater spinning on ice • Satellites in orbit

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