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AP Unit I E 2

AP Unit I E 2. Torque and rotational statics. 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.

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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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