Chapter 11 Rotational Mechanics
Torque Force produces acceleration Torque produces rotation Torque = f x l (lever arm) Only forces perpendicular to the lever arm contribute to torque Units: N·m
Torque
Torque Examples: Prying a lid off a can w/ a screwdriver turning a nut w/ a wrench opening a door doorknob at the edge vs. doorknob at the center
Balanced Torques Examples: Seesaw f L = F l ex: Where would a 600 N boy have to sit in order to balance a 200 N girl who sits 3 m from the fulcrum?
Balanced Torques Examples: Scale Balances ex: Suppose that a meterstick is supported at the center, and a 20 N block is hung at 80 cm. Another block of unknown weight balances the system at the 10 cm mark. What is the weight of the second block?
Torque and CG When your base is not below your cg, there is a torque. Force is required to launch any projectile If the direction of force is through the cg, the force moves the object as a whole
Torque and CG If the force is off center, the object will rotate about its cg
Rotational Inertia An object rotating about an axis tends to keep rotating about that axis Resistance to changes in its rotational motion
Rotational Inertia Forces change linear motion Torques change rotational motion Depends on mass and its distribution greater the distance between mass and axis, greater rotational inertia
Angular Momentum Linear Momentum = inertia of motion ρ = mv Angular Momentum = inertia of rotation*velocity mvr (radius-how far from the center is the mass)
Conservation ofAngular Momentum Ice Skater arms tucked in = arms extended mrV = mRv