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EG260 Pre-course - -1 when at the highest point of the loop...

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@ Avril Slone 2008 1 of 2 EG-260 Dynamics 1 Pre-course Revision Questions 1. a. State what is meant by angular velocity. b. A stone is tied to one end of a cord and rotated in a horizontal circle about a point C with the cord horizontal, as shown in Figure 1. The stone has speed v and angular velocity w about C. The length of the cord is r. i. Write down the relationship between the speed v , the length of cord r and the angular velocity w. ii. Explain how v can be made to vary when w is constant. iii. Explain why there needs to be tension in the cord to maintain the circular motion. iv. Write down an expression for the acceleration of the stone in terms if v and r. Hence, if the stone has mass m , show that the tension in the cord, T is given by: w mv T = c. On one particular ride in an amusement park, passengers ‘loop-the loop’ in a vertical circle, seen in Figure 2 The loop has a radius of 7.0m and a passenger, mass 60 kg, is travelling at 12 ms
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