Problem 14.63 The 3000-N vehicle has left the ground after driving over a rise. At the instant shown, it is mov- ing horizontally at 30 km/h and the bottoms of its tires are 610 mm above the (approximately) level ground. The carth-fixed coordinate system is placed with its origin 762 mm above the ground, at the height of the vehicle's center of mass when the tires first contact the ground (Assume that the vehicle remains horizontal.) When that occurs, the vehicle's center of mass initially continues moving downward and then rebounds upward due to the flexure of the suspension system. While the tires are in contact with the ground, the force exerted on them by the ground is-2400i 18000yj (N), where y is the ver- tical position of the center of mass in metre. When the vehicle rebounds what is the vertical component of the velocity, of the center of mass at the instant the wheels leave the ground? (The wheels leave the ground when the center of mass is at y = 0.) 610 mm 762 762 mm 610m Solution: This analysis follows that of Example 14.3. The L

Structural Analysis
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2.
* WHICH, TOT y3-0.305 m,
= 0.284 s
Problem 14.63 The 3000-N vehicle has left the ground
after driving over a rise. At the instant shown, it is mov-
ing horizontally at 30 km/h and the bottoms of its tires
are 610 mm above the (approximately) level ground. The
earth-fixed coordinate system is placed with its origin
762 mm above the ground, at the height of the vehicle's
center of mass when the tires first contact the ground
(Assume that the vehicle remains horizontal.) When that
occurs, the vehicle's center of mass initially continues
moving downward and then rebounds upward due to the
flexure of the suspension system. While the tires are in
contact with the ground, the force exerted on them by
the ground is-2400i 18000yj (N), where y is the ver-
tical position of the center of mass in metre. When the
vehicle rebounds what is the vertical component of the
velocity, of the center of mass at the instant the wheels
leave the ground? (The wheels leave the ground when
the center of mass is at y = 0.)
610 mm
762
762 mm
610 m
Solution: This analysis follows that of Example 14.3. The
Transcribed Image Text:2. * WHICH, TOT y3-0.305 m, = 0.284 s Problem 14.63 The 3000-N vehicle has left the ground after driving over a rise. At the instant shown, it is mov- ing horizontally at 30 km/h and the bottoms of its tires are 610 mm above the (approximately) level ground. The earth-fixed coordinate system is placed with its origin 762 mm above the ground, at the height of the vehicle's center of mass when the tires first contact the ground (Assume that the vehicle remains horizontal.) When that occurs, the vehicle's center of mass initially continues moving downward and then rebounds upward due to the flexure of the suspension system. While the tires are in contact with the ground, the force exerted on them by the ground is-2400i 18000yj (N), where y is the ver- tical position of the center of mass in metre. When the vehicle rebounds what is the vertical component of the velocity, of the center of mass at the instant the wheels leave the ground? (The wheels leave the ground when the center of mass is at y = 0.) 610 mm 762 762 mm 610 m Solution: This analysis follows that of Example 14.3. The
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