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11.140 A motorist starts from rest at point A on a circular entrance ramp when t = 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C determine (a) the speed at point B, (b) the magnitude of the total acceleration when t = 20 s. track while race

11.140 A motorist starts from rest at point A on a circular entrance ramp when t = 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C determine (a) the speed at point B, (b) the magnitude of the total acceleration when t = 20 s. track while race

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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11.140 Dynamics
A Fig. P11.140 150 m B 704 100 m No Fig. P11.143 r = 70 m 11.139 A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,. 11.140 A motorist starts from rest at point A on a circular entrance ramp when t = 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C determine (a) the speed at point B, (b) the magnitude of the total acceleration when t = 20 s. 11.141 Race car A is traveling on a straight portion of the track while race car B is traveling on a circular portion of the track. At the instant shown, the speed of A is increasing at the rate of 10 m/s², and the speed of B is decreasing at the rate of 6 m/s². For the position shown, determine (a) the velocity of B relative to A, (b) the acceleration of B relative to A. 120 km/h 300 m 50⁰ 450 km/h 240 km/h 200 km/h Fig. P11.141 11.142 At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at the rate of 8 m/s². Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 300-m radius. Knowing that at the given instant the speed of B is being decreased at the rate of 3 m/s², determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A. 400 m 300 m 30° 540 km/h Fig. P11.142 11.143 A race car enters the circular portion of a track that has a radius of 70 m. When the car enters the curve at point P, it is travelling with a speed of 120 km/h that is increasing at 5 m/s². Three seconds later. determine the x and y components of velocity and acceleration of the car.
Transcribed Image Text:A Fig. P11.140 150 m B 704 100 m No Fig. P11.143 r = 70 m 11.139 A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/s², determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a,. 11.140 A motorist starts from rest at point A on a circular entrance ramp when t = 0, increases the speed of her automobile at a constant rate and enters the highway at point B. Knowing that her speed continues to increase at the same rate until it reaches 100 km/h at point C determine (a) the speed at point B, (b) the magnitude of the total acceleration when t = 20 s. 11.141 Race car A is traveling on a straight portion of the track while race car B is traveling on a circular portion of the track. At the instant shown, the speed of A is increasing at the rate of 10 m/s², and the speed of B is decreasing at the rate of 6 m/s². For the position shown, determine (a) the velocity of B relative to A, (b) the acceleration of B relative to A. 120 km/h 300 m 50⁰ 450 km/h 240 km/h 200 km/h Fig. P11.141 11.142 At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at the rate of 8 m/s². Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 300-m radius. Knowing that at the given instant the speed of B is being decreased at the rate of 3 m/s², determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A. 400 m 300 m 30° 540 km/h Fig. P11.142 11.143 A race car enters the circular portion of a track that has a radius of 70 m. When the car enters the curve at point P, it is travelling with a speed of 120 km/h that is increasing at 5 m/s². Three seconds later. determine the x and y components of velocity and acceleration of the car.
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