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1.97 An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an altitude of 300 ft. Determine the distance d at which the pilot should release the water so that it will hit the fire at B. A] VO

1.97 An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an altitude of 300 ft. Determine the distance d at which the pilot should release the water so that it will hit the fire at B. A] VO

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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11.97 Dynamics
Fig. P11.94 11.95 The three-dimensional motion of a particle is defined by the position vector r = (Rt cos w,t)i + ctj + (Rt sin w„t)k. Determine the magnitudes of the velocity and acceleration of the particle. (The space curve described by the particle is a conic helix.) 11.96 The three-dimensional motion of a particle is defined by the position vector r = (At cos t)i + (AVP² + 1)j + (Bt sin t)k, where r and I are expressed in feet and seconds, respectively. Show that the curve described by the particle lies on the hyperboloid 1, determine (N/A)²-(x/a)²-(z/B)² = 1. For A = 3 and B = 0, (a) the magnitudes of the velocity and acceleration when t = (b) the smallest nonzero value of t for which the position vector and the velocity are perpendicular to each other. 11.97 An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an altitude of 300 ft. Determine the distance d at which the pilot should release the water so that it will hit the fire at B. Fig. P11.97 Vo B
Transcribed Image Text:Fig. P11.94 11.95 The three-dimensional motion of a particle is defined by the position vector r = (Rt cos w,t)i + ctj + (Rt sin w„t)k. Determine the magnitudes of the velocity and acceleration of the particle. (The space curve described by the particle is a conic helix.) 11.96 The three-dimensional motion of a particle is defined by the position vector r = (At cos t)i + (AVP² + 1)j + (Bt sin t)k, where r and I are expressed in feet and seconds, respectively. Show that the curve described by the particle lies on the hyperboloid 1, determine (N/A)²-(x/a)²-(z/B)² = 1. For A = 3 and B = 0, (a) the magnitudes of the velocity and acceleration when t = (b) the smallest nonzero value of t for which the position vector and the velocity are perpendicular to each other. 11.97 An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an altitude of 300 ft. Determine the distance d at which the pilot should release the water so that it will hit the fire at B. Fig. P11.97 Vo B
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