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Chapter 8: Dynamics II: Motion in a Plane. 8.2 Velocity and Acceleration in Uniform Circular Motion 8.3 Dynamics of Uniform Circular Motion 8.7 Nonuniform Circular Motion. Stop to think 8.2 P 214 Stop to think 8.3 P 219 Stop to think 8.4 P 226 Stop to think 8.5 P 228. Example 8.3 P215

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chapter 8 dynamics ii motion in a plane

Chapter 8: Dynamics II: Motion in a Plane

8.2 Velocity and Acceleration in Uniform Circular

Motion

8.3 Dynamics of Uniform Circular Motion

8.7 Nonuniform Circular Motion

stop to think 8 2 p 214 stop to think 8 3 p 219 stop to think 8 4 p 226 stop to think 8 5 p 228
Stop to think 8.2 P 214Stop to think 8.3 P 219Stop to think 8.4 P 226Stop to think 8.5 P 228
  • Example 8.3 P215
  • Example 8.5 P217
  • Example 8.6 P218
  • Example 8.7 P227
dynamics of uniform circular motion
Dynamics of Uniform Circular Motion
  • From the Newton’s second law, a particle of mass m moving at constant speed V around a circle of radius r must have a net force of

magnitude (mV2/r) pointing toward the center of the circle

ex 8 3 spinning in a circle
Ex. 8.3 Spinning in a circle
  • An Energetic father places his 20 Kg child on a 5.0Kg cart to which a 2.0-m-long rope is attached. He then holds the end of the rope and spins the cart and child around in a circle, keeping the rope parallel to the ground. If the tension in the rope is 100N, how many revolutions per minute (rpm) does the cart make?
slide7

Problem 46: Mass m1 on the frictionless table is connected by a string through a hole in the table to a hanging mass m2. With what speed must m1 rotate in a circle of radius r if m2 is to remain hanging at rest?

  • If m2 remains hanging at rest
  • T-m2·g=0
  • (2) For m1, N = m1·g
  • T =m1 V2 /r
slide8

A roller coaster car going around a vertical loop-the loop of radius r. We’ll assume that the motion makes a complete circle and not worry about the entrance to and exit from the loop. Why doesn’t the car fall off at the top of the circle

slide10

Problem 8.62, A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius R., find an expression for the ball’s angular velocity in terms of R, y, g