Find VA/B and VA/B-200 my-- xBAnswers:VA/B = ( ii+ ij) m/sim/sVA/B = Car A is traveling at the constant speed of 50 km/h as it rounds the circular curve of 200-m radius and at the instant represented is atthe position e = 43°. Car B is traveling at the constant speed of 60 km/h and passes the center of the circle at this same instant. Car A islocated with respect to car B by polar coordinates r and O with the pole moving with B. For this instant determine va/R and the values ofi and O as measured by an observer in car B.200 m

Given data, Velocity of car A = 50 kmph = 13.89 m/s Velocity of car B = 60 kmph = 16.67 m/s Angle…

Answered: Car A is traveling at the constant…

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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DYNAMICS OF RIGID BODIES PROBLEM: A particle moves counterclockwise on a circular path of 400ft radius. It starts from a position, which is horizontally to the right of the center of the path and moves so that s-10t² + 20t where s is the arc distance in feet and t is in seconds. Compute the horizontal and vertical components of acceleration at the end of 5sec.
_4. A man running a foot race rounds a flat curve of 15-m radius. If he runs at the rate of 25m/s, find the angle with the vertical the body of the man will incline. Ta flywheel is governed by the equation o = 4V1; where os is in rad/sec and t in sec. 0- 2rad when 1-Is Find the yalues of 9 and a at the instant when -3s
Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s^2 . It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, he decelerates at 19 ft/s^2. Determine the minimum distance d between the cars so as to avoid a collision.
2/108 The figure shows two possible paths for negotiating an unbanked turn on a horizontal portion of a race course. Path A-A follows the centerline of the road and has a radius of curvature PA = 85 m, while path B-B uses the width of the road to good advan- tage in increasing the radius of curvature to PB = 200 m. If the drivers limit their speeds in their curves so that the lateral acceleration does not exceed 0.8g, determine the maximum speed for each path. A B PB = 200 m PA = 85 m 4 B 2/109 From an = ²₁ U=√an = √0.8g 12 A√0.89 PA=0.8 (1.81(85) = 25.8 m/s Ug = √0.8918 = √0.8 (1.81)(200) = 39.6 m/s Path BB offers a considerable advantage.
The car A has a forward speed of 22 km/h and is accelerating at 3.7 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate = 3.4 rev/min of the Ferris wheel is constant. R 9.6 m Answers: VA/B = ( aA/B = ( i i 22= 3.4 rev/min B 51 i+ i i+ i j) m/s j) m/s²
The concept of variable banking for racetrack turns is shown in the figure. If the two radii of curvature are PA = 291 ft and PB = 312 ft for cars A and B, respectively, determine the maximum speed for each car. The coefficient of static friction is us = 0.83 for both cars. Answers: VA = VB= i i 15° B 22° ft/sec ft/sec
Q1) The jet car starts from rest at s = 0 and travels along a straight road with the speed shown by the r-rgraph. Determine the motoreycle's acceleration and position when 1=5 s and -8 s. e (m/s) 1.25 r(s)
An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.9g as the empty car passes the bottommost position of the track as shown. If the speed of the car at this position is 205 km/h and is decreasing at the rate of 16 km/h every second, determine the radius of curvature p of the track at the position shown. Answer: p= i m 0.65 m
Determine the smallest radius that should be used for a highway if the normal component of the acceleration of a car traveling at 72 km/h is not to exceed 0.8 m/s². В A
An automobile travels to the left at a constant speed of 72 km/h. Knowing that the diameter of the wheel is 560 mm, determine the acceleration of Point B, C and D.

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