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Physics 1210/1310

Mechanics & Thermodynamics. Physics 1210/1310. Lecture R1-7 Rotational Motion. Circular Motion. Angular Velocity & Acceleration. Constant Angular Acceleration. For rigid bodies (bodies which don’t change shape). Start from rest at h: K 1 =0, U 1 = Mgh , U 2 =0

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Physics 1210/1310

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  1. Mechanics & Thermodynamics Physics 1210/1310 Lecture R1-7 Rotational Motion

  2. Circular Motion

  3. Angular Velocity & Acceleration

  4. Constant Angular Acceleration

  5. For rigid bodies (bodies which don’t change shape)

  6. Start from rest at h: K1=0, U1= Mgh, U2=0 Kinetic energy at bottom given by K = ½ MvCM2 + ½ ICM w2 no slip means w=vCM/R Which body rolls down fastest?

  7. Relationship between linear and angular motion s = rq

  8. Energy in Angular Motion – Concept Moment of Inertia

  9. http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=522http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=522

  10. Wagon wheel moment of inertia:using the ‘lego system’ toolbox Find the total moment of inertia for mspoke= 0.5[kg] rspoke= 1.0[m] and mrim= 1.5[kg].

  11. Start from rest at h: K1=0, U1= Mgh, U2=0 Kinetic energy at bottom given by K = ½ MvCM2 + ½ ICM w2 no slip means w=vCM/R Which body rolls down fastest?

  12. Torque:

  13. Utilizing torque for finding weight distributions A lever is in balance if the total left side torque equals the total right side torque: A simple balance: http://www.walter-fendt.de/ph11e/lever.htm Quantifying torque, lever arms, and force components http://www.usna.edu/MathDept/website/courses/calc_labs/wrench/TorqueWrench.html

  14. Calculating Torque Group task Determine torque t for the following cases: F= 10[N], L=4[m]

  15. Torque and angular acceleration

  16. Ex 10.4 Glider and weight have same magnitude of acceleration. Glider: T1= m1a1x Weight: m2g –T2=m2a2y Unknown n2 acts through Pulley’s axis of rotation, ie no torque

  17. Translational an Rotational Energy Special case: Motion w/o slipping: The motion of any body can always be divided into rotational and translational motion about the center of mass CM! Both motions have related energies.

  18. Rolling Friction:

  19. Work and Power in Rotational Motion

  20. Angular Momentum L Note: Value of L depends on ‘O’

  21. Ex 10.44 solid wood door, 1[m] wide and 2[m] high has M= 40[kg] and is initially open and at rest. Door is struck at its center by a handful of sticky mud m= 0.5[kg], traveling perpendicular at 12[m/s] before impact. Find wdoor and importance of mud for Idoor. Use w = L/I And Itotal= Idoor + Imud Calculate for Itotal=Idoor and take difference to evaluate importance of mud for I.

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