CHAPTER 5: USING NEWTON'S LAWS: FRICTION, CIRCULAR MOTION, DRAG FORCES

Application of Newon's Law Involving Friction

Highway Curves: Banked and Unbanked

Velocity Dependant Forces: Drag and Terminal Forces

Dynamics of Uniform Circular Motion

Uniform Circular Motion- Kinematics

Non- Uniform Circular Motion

Banked

Unbanked

Circular acceleration formula

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Used for an object moving in a curved path as any small segmentn of the path will be circular.

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Angular velocity is not constant

ar = v2r = ω2r

particle moving in a uniform circular motion

Velocity is changing at every instant.

There is no tangential acceleration.

Speed is constant

Radical (centripetal) acceleration = ω2r

v=ωr

Static Frictional Forces

Kinetic Friction Forces

When the drag force on the falling object is proportional to its velocity. The object gradually slows until the drag force and gravittional force equal.

Fk = μkFN

Fsmax = μsFN

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An object moving on a circular path of radius at a constant speed.

Velocity vector is always tangent to the circle

The object force falls with constant velocity which is known as terminal velocity.

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Velocity-Dependent+Forces_+Drag+and+Terminal+Velocity

Velocity-Dependent+Forces_+Drag+and+Terminal+Velocity (2)