nt Coordinates Notes

nt Coordinates Notes - the trajectory as well as the time...

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Example – Plane curvilinear motion in n-t coordinates 1. The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine is revved up, the belt speed v changes uniformly from 3 m/s to 9 m/s over a three-second interval. Calculate the magnitudes of the accelerations of points P 1 and P 2 just 2 seconds into this interval. Ans : a = 817 m/s 2 at P 1 , a = 2 m/s 2 at P 2
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2. A race driver traveling at a speed of 250 km/h on the straightway applies his brakes at point A and reduces his speed at a uniform rate to 200 km/h at C in a distance of 300 m. Calculate the magnitude of the total acceleration of the car an instant after it passes point B . Ans : 8.42 m/s 2
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3. a baseball player releases a ball with an initial velocity shown in the figure. Determine the radius of curvature of
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Unformatted text preview: the trajectory as well as the time rate of change of the speed (a) just after release and (b) at the apex. Ans : (a) ρ = 359 ft, –16.10 ft/sec 2 (b) ρ = 233 ft, 0 ft/sec 2 4. Rotation of the arm PO is controlled by the horizontal motion of the vertical slotted link. At the instance when x = 2 in, the horizontal velocity and acceleration of the link are 4 x = ft/sec and 8 x = − ft/sec 2 , determine (a) the speed of the pin P , (b) the normal and tangential components of the acceleration of the pin P , (b) the vertical component of the acceleration of the pin P . Ans : (a) 4.62 ft/sec (b) a n = 64 ft/sec 2 , a t = 27.7 ft/sec 2 (c) 69.3 ft/sec 2 down...
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This note was uploaded on 10/02/2011 for the course AERO 1234 at Virginia Tech.

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nt Coordinates Notes - the trajectory as well as the time...

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