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Positive torque causes counter-clockwise CCW rotation. Negative torque causes clockwise (CW) rotation. If several torques are applied, the net torque causes angular acceleration: net Aside: Torque, like force, is a vector quantity. Torque has a direction. Definition of vector torque: rF = cross product of r and F: "r cross F"
F=ma for rotation: t=Ia. Use F=ma, t=Ia to solve for a, a, tension, time. Use conservation of energy to solve for speed. Can choose any axis or pivot around which to compute torques. Trick of the trade: If there is a force on the pivot, the torque it produces is 0!
Understand the relationship between force, mass and acceleration. Study the turning effect of force. Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration.
Calculate the torque of a specified force about an arbitrary origin. Calculate the angular momentum vector for a moving particle. Calculate the angular momentum vector for a rotating rigid body in simple cases where this vector lies parallel to the angular velocity vector.
In this chapter we will investigate how the combination of force (F) and the moment arm (‘) e ect a change in rotational motion (i.e., rotational angular acceleration, ˝ = force moment arm (de nition of torque)
Topics: On this worksheet you will practice using the basic formulas for torque and subsequent rotational behavior.
1. Define rotational equilibrium. 2. Define translational equilibrium. 3. Define static equilibrium. 4. Define torque. What is the basic equation to find torque? 5. What is the general equation to find the moment of inertia? a. If the mass of the object stays the same and the radius is tripled, how is the moment of ineria affected? b.
