Mathematics for Mechanical Engineers: Problems and Solutions by S. H. Omran M. T. Chaichan H. M. Hussen PhD N. G. Nacy PhD and L. J. Habeeb PhD

Author:S. H. Omran, M. T. Chaichan, H. M. Hussen, PhD, N. G. Nacy, PhD and L. J. Habeeb, PhD
Language: eng
Format: mobi
Publisher: Mercury Learning and Information
Published: 2021-05-15T00:00:00+00:00

Solution:

The velocity after time .

(Ans. )

PROBLEM 4.6

A car accelerates from to in 10 sec. Express this acceleration in (i) (ii) and (iii).

Solution:

(i)

(ii)

(iii)

(Ans. (i) ; (ii) ; (iii) )

PROBLEM 4.7

A car can accelerate at . How long will it take to reach from rest?

Solution:

(Ans. )

PROBLEM 4.8

An express train reducing its velocity to has to apply the brakes for 50 sec. If the retardation produced is , find its initial velocity in .

Solution:

(Ans. )

PROBLEM 4.9

At the instant from which time is measured, a particle is passing through and traveling towards , along the straight line . It is , from after sec, where :

(i) When is it again at ?

(ii) When and where is it momentarily at rest?

(iii) What is the particle’s greatest displacement from , and how far does it move during the first ?

(iv) What is the average velocity during the second?

(v) At the end of the second, where is the particle, which way is it going, and is its speed increasing or decreasing?

(vi) Repeat for the instant when .

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