initial commit / add all books

5 files changed, 111 insertions, 0 deletions

diff --git a/213/CH2/EX2.1/2_1.sce b/213/CH2/EX2.1/2_1.sce
new file mode 100755
index 000000000..c2fd0d1f8
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+++ b/213/CH2/EX2.1/2_1.sce
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+//To Find the Acceleration and Distance

+clc

+//Given:

+u1=0,v1=72*1000/3600 //m/s

+s1=500 //m

+//Solution:

+//Calculating the initial acceleration of the car

+a1=(v1^2-u1^2)/(2*s1) //m/s^2

+//Calculating time taken by the car to attain the speed

+t1=(v1-u1)/a1 //seconds

+//Parameters for the second case

+u2=v1,v2=90*1000/3600 //m/s

+t2=10 //seconds

+//Calculating the acceleration for the second case

+a2=(v2-u2)/t2 //m/s^2

+//Calculating the distance moved by the car in the second case

+s2=(u2*t2)+(a2/2*t2^2)

+//Parameters for the third case

+u3=v2,v3=0 //m/s

+t3=5 //seconds

+//Calculating the distance moved by the car

+s3=(u3+v3)*t3/2 //m

+//Results:

+printf("\n\n The acceleration of the car, a = %.1f m/s^2. \n",a1)

+printf(" The car takes t = %d s to attain the speed.\n",t1)

+printf(" The acceleration of the car in the second case, a = %.1f m/s^2.",a2)

+printf("\n The distance moved by the car, s = %d m.\n",s2)

+printf(" The distance travelled by the car during braking, s = %.1f m.\n\n",s3)
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diff --git a/213/CH2/EX2.3/2_3.sce b/213/CH2/EX2.3/2_3.sce
new file mode 100755
index 000000000..bcda83c83
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+++ b/213/CH2/EX2.3/2_3.sce
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+//To Find the Velocity

+clc

+//Given:

+//Initial parameters

+v0=100 //kmph

+t0=0

+//Parameters at the end of 40 seconds

+v1=90/100*v0 //kmph

+t1=40 //seconds

+//Solution:

+//The acceleration is given by, a=(-dv/dt)=k*v

+//Integrating, we get ln(v)=-k*t+C

+//Calculating the constant of integration

+C=integrate('1/v','v',1,100)

+//Calculating the constant of proportionality

+k=(C-2.3*log10(90))/40

+//Time after 120 seconds

+t2=120 //seconds

+//Calculating the velocity after 120 seconds

+v120=10^((-k*t2+C)/2.29)

+//Results:

+printf("\n\n The velocity at the end of 120 seconds, v120 = %.1f kmph.\n\n",v120)
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diff --git a/213/CH2/EX2.5/2_5.sce b/213/CH2/EX2.5/2_5.sce
new file mode 100755
index 000000000..560a71a0c
--- /dev/null
+++ b/213/CH2/EX2.5/2_5.sce
@@ -0,0 +1,20 @@
+//To Find the Maximum Cutting Speed

+clc

+//Given:

+s=500,s1=125,s2=250,s3=125 //mm

+t=1 //second

+//Solution:

+//Matrices for the velocity vs. time graph

+V=[0,750,750,0] //The velocity matrix

+T=[0,1/3,2/3,1] //The time matrix

+plot2d(T,V)

+//Calculating the time of uniform acceleration

+t1=rdivf('s1','v/2')

+//Calculating the time of constant speed

+t2=rdivf('s2','v')

+//Calculating the time of uniform retardation

+t3=rdivf('s3','v/2')

+//Equating the time taken to complete the stroke to 1 second

+v=(125/(1/2)+250/1+125/(1/2))/1 //mm/s

+//Results:

+printf("\n\n The maximum cutting speed, v = %d mm/s.\n\n",v)
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diff --git a/213/CH2/EX2.6/2_6.sce b/213/CH2/EX2.6/2_6.sce
new file mode 100755
index 000000000..318f4ab30
--- /dev/null
+++ b/213/CH2/EX2.6/2_6.sce
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+//To Find the Angular Acceleration

+clc

+//Given:

+N0=0,N=2000 //rpm

+t=20 //seconds

+//Solution:

+//Calculating the angular velocities

+omega0=0, omega=2*%pi*N/60 //rad/s

+//Calculating the angular acceleration

+alpha=(omega-omega0)/t //rad/s^2

+//Calculating the angular distance moved by the wheel during 2000 rpm

+theta=(omega0+omega)*t/2 //rad

+//Calculating the number of revolutions made by the wheel

+n=theta/(2*%pi)

+//Results:

+printf("\n\n The angular acceleration of the wheel, alpha = %.3f rad/s^2.\n",alpha)

+printf(" The wheel makes n = %.1f revolutions.\n\n",n)
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diff --git a/213/CH2/EX2.7/2_7.sce b/213/CH2/EX2.7/2_7.sce
new file mode 100755
index 000000000..f87044b74
--- /dev/null
+++ b/213/CH2/EX2.7/2_7.sce
@@ -0,0 +1,24 @@
+//To Find Velocity and Acceleration

+clc

+//Given:

+r=1.5 //m

+N0=1200,N=1500 //rpm

+t=5 //seconds

+//Solution:

+//Calculating the angular velocities

+omega0=2*%pi*N0/60,omega=2*%pi*N/60 //rad/s

+//Calculating the linear velocity at the beginning

+v0=r*omega0 //m/s

+//Calculating the linear velocity at the end of 5 seconds

+v5=r*omega //m/s

+//Calculating the angular acceleration

+alpha=(omega-omega0)/t //ad/s^2

+//Calculating the tangential acceleration after 5 seconds

+TangentialAcceleration=alpha*(r/2) //m/s^2

+//Calculating the radial acceleration after 5 seconds

+RadialAcceleration=(omega^2)*(r/2) //m/s^2

+//Results:

+printf("\n\n The linear velocity at the beginning, v0 = %.1f m/s.\n",v0)

+printf(" The linear velocity after 5 seconds, v5 = %.1f m/s.\n",v5)

+printf(" The tangential acceleration after 5 seconds is %.1f m/s^2.\n",TangentialAcceleration)

+printf(" The radial acceleration after 5 seconds is %d m/s^2.",RadialAcceleration)
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