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Circular Motion and F=ma

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Fig. 6.5, p.154

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8.The cornering performance of an automobile is evaluated on a skidpad, where the maximum speed that a car can maintain around a circular path on a dry, flat surface is measured. Then the centripetal acceleration, also called the lateral acceleration, is calculated as a multiple of the free-fall acceleration g. The main factors affecting the performance are the tire characteristics and the suspension system of the car. A Dodge Viper GTS can negotiate a skidpad of radius 61.0 m at 86.5 km/h. Calculate its maximum lateral acceleration.

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Fig. 6.5, p.154 A Dodge Viper GTS can negotiate a skidpad of radius 61.0 m at 86.5 km/h. Calculate its maximum lateral acceleration.

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18.A kg object is swung in a vertical circular path on a string m long. If its speed is 4.00 m/s at the top of the circle, what is the tension in the string there?

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Fig. 6.4a, p.153 Consider a conical pendulum with an kg bob on a 10.0-m wire making an angle of 5.00 with the vertical (Fig. P6.9). Determine (a) the horizontal and vertical components of the force exerted by the wire on the pendulum and (b) the radial acceleration of the bob.

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Motion in accelerated reference frames The key idea of General Relativity, called the Equivalence Principle, is that gravity pulling in one direction is completely equivalent to an acceleration in the opposite direction. (A car accelerating forwards feels just like sideways gravity pushing you back against your seat. An elevator accelerating upwards feels just like gravity pushing you into the floor. Alan Lighman

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Fig. 6.13a, p.161 A kg object is suspended from the ceiling of an accelerating boxcar as in Figure If a = 3.00 m/s 2, find (a) the angle that the string makes with the vertical and (b) the tension in the string.

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Fig. 6.13b, p.161 A kg object is suspended from the ceiling of an accelerating boxcar as in Figure If a = 3.00 m/s 2, find (a) the angle that the string makes with the vertical and (b) the tension in the string.

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