11.140 Dynamics AFig. P11.140150 mB704100 mNoFig. P11.143r = 70 m11.139 A monorail train starts from rest on a curve of radius 400 m andaccelerates at the constant rate a,. If the maximum total accelerationof the train must not exceed 1.5 m/s², determine (a) the shortestdistance in which the train can reach a speed of 72 km/h, (b) thecorresponding constant rate of acceleration a,.11.140 A motorist starts from rest at point A on a circular entrance rampwhen t = 0, increases the speed of her automobile at a constant rateand enters the highway at point B. Knowing that her speed continuesto increase at the same rate until it reaches 100 km/h at point Cdetermine (a) the speed at point B, (b) the magnitude of the totalacceleration when t = 20 s.11.141 Race car A is traveling on a straight portion of the track while racecar B is traveling on a circular portion of the track. At the instantshown, the speed of A is increasing at the rate of 10 m/s², and thespeed 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 ofB relative to A.120 km/h300 m50⁰450 km/h240 km/h200 km/hFig. P11.14111.142 At a given instant in an airplane race, airplane A is flying horizontallyin 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 itrounds a pylon, is following a circular path of 300-m radius. Knowingthat at the given instant the speed of B is being decreased at the rateof 3 m/s², determine, for the positions shown, (a) the velocity of Brelative to A, (b) the acceleration of B relative to A.400 m300 m30°540 km/hFig. P11.14211.143 A race car enters the circular portion of a track that has a radius of70 m. When the car enters the curve at point P, it is travelling witha 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 ofthe car.

Given, VA = 0 Vc = 100 kmph or 27.78 m/s

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.

Question

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.

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