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Lecture4 - To be continued Newton's Second Law Applied to...

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To be continued…
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Newton's Second Law Applied to Uniform Circular Motion The force causing centripetal acceleration is sometimes called a centripetal force. Please note that centripetal force is not a new kind of force.
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Non-uniform circular motion When the force acting on a particle moving in a circular path has a tangential component, the particle’s speed changes. The total force is
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What happens if we have non-inertial frame of reference? It means the frame of reference is accelerating. Fictitious forces the Coriolis force the centrifugal force Read it in details in the chapter 6
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The centrifugal force
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The Coriolis Force
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Lecture #4 1. Work and Power 2. Nature of Energy 3. Kinetic Energy, Potential Energy 4. Energy conservation 5. Conservative and Nonconservative Forces Yultuz Omarbakiyeva 27.09.2010
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System model Yultuz Omarbakiyeva 27.09.2010 Force approach (Newton’s laws) Energy approach (Conservation of energy) are independent approaches particle model system model ü single object or particle ü a collection of objects or particles ü a region of space ü vary in size and shape
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Work done by a constant force Yultuz Omarbakiyeva 27.09.2010 Work is energy transferred to or from an object by a force acting on the object. If  = 0 --> W = FΔr if  = 90 --> W = 0 Work is a SCALAR : the product of 2 vectors The unit of work is JOULE Energy transferred TO the object is positive work Energy transferred FROM the object is negative work.
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xf xi What if the force ≠const ? i.e F depends on x: F(x) Move a distance x w = F(x). x = f i x x x x F w ). ( In the limit as x 0 = f i x x dx ). x ( F w ξ F(x) F x How much work is done by F in moving object from xi to xf? Work is the area under the F-x curve Yultuz Omarbakiyeva 27.09.2010
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Yultuz Omarbakiyeva 27.09.2010 Spring Force x Fs Work = area of this triangle! Hooke’s law Spring constant Work done by spring force If the block undergoes an arbitrary displacement from x = xi to x = xf ,
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Power Power is the rate of doing work If we do work W in a time t dt dW Δt ΔW p 0 Δt limit inst = = Δt Δx F.
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