initial commit / add all books

22 files changed, 257 insertions, 0 deletions

diff --git a/24/CH2/EX2.1.a/Example2_1a.sce b/24/CH2/EX2.1.a/Example2_1a.sce
new file mode 100755
index 000000000..8bce2b73d
--- /dev/null
+++ b/24/CH2/EX2.1.a/Example2_1a.sce
@@ -0,0 +1,10 @@
+//Given that

+velocity = 70  //in km/h

+distance_covered = 8.4   //in km

+next_time = 30  //in min

+next_walk = 2  //in km

+

+//Sample Problem 2-1a

+printf("**Sample Problem 2-1a**\n")

+overall_displacement = distance_covered + next_walk

+printf("Overall displacement from begining of the drive to the station is %f km", overall_displacement)
\ No newline at end of file
diff --git a/24/CH2/EX2.1.a/Example2_1a_result.txt b/24/CH2/EX2.1.a/Example2_1a_result.txt
new file mode 100755
index 000000000..f0ac82971
--- /dev/null
+++ b/24/CH2/EX2.1.a/Example2_1a_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 2-1a**

+Overall displacement from begining of the drive to the station is 10.400000 km
\ No newline at end of file
diff --git a/24/CH2/EX2.1.b/Example2_1b.sce b/24/CH2/EX2.1.b/Example2_1b.sce
new file mode 100755
index 000000000..9d9923e9d
--- /dev/null
+++ b/24/CH2/EX2.1.b/Example2_1b.sce
@@ -0,0 +1,8 @@
+exec('Example2_1a.sce', -1)

+clc

+

+//Sample Problem 2-1b

+printf("\n**Sample Problem 2-1b**\n")

+time = distance_covered / velocity  //in hr

+delta_t = time  + next_time /60  //in hr

+printf("Time interval from the begining of the drive to the arrival at the station is %f hr", delta_t)
\ No newline at end of file
diff --git a/24/CH2/EX2.1.b/Example2_1b_result.txt b/24/CH2/EX2.1.b/Example2_1b_result.txt
new file mode 100755
index 000000000..e801af674
--- /dev/null
+++ b/24/CH2/EX2.1.b/Example2_1b_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 2-1b**

+Time interval from the begining of the drive to the arrival at the station is 0.620000 hr 
\ No newline at end of file
diff --git a/24/CH2/EX2.1.c/Example2_1c.sce b/24/CH2/EX2.1.c/Example2_1c.sce
new file mode 100755
index 000000000..504628dcb
--- /dev/null
+++ b/24/CH2/EX2.1.c/Example2_1c.sce
@@ -0,0 +1,30 @@
+exec('Example2_1a.sce', -1)

+clc

+

+//Sample Problem 2-1c

+printf("\n**Sample Problem 2-1c**\n")

+average_velocity = overall_displacement/delta_t

+printf("The average velocity over the whole journey is %f km/h\n", average_velocity)

+

+//from position v/s time graph

+xset('window',1)

+xtitle ("position v/s time","time(hr)","position(Km)");

+//drawing reference lines

+plot(linspace(delta_t,delta_t,10),linspace(0,overall_displacement,10),'--.x')

+plot(linspace(0,delta_t,10),linspace(overall_displacement,overall_displacement,10),'--.o')

+plot(linspace(time,time,10),linspace(0,distance_covered,10),'--')

+plot(linspace(0,time,10),linspace(distance_covered,distance_covered,10),'--')

+//position v/s time graph

+x = linspace(0,time,10);

+y = linspace(0,distance_covered,10);

+plot(x,y,'r');

+//average graph

+x = linspace(time,delta_t,10);

+y = linspace(distance_covered,overall_displacement,10);

+plot(x,y,'r');

+//slope of this line will give us the average velocity

+x = linspace(0,delta_t,10);

+y = linspace(0,overall_displacement,10);

+plot(x,y,'m');

+legend('$\delta x=10.4 km$','time interval=.62hr')

+printf("The average velocity from the graph is %f km/h", 10.4/delta_t)
\ No newline at end of file
diff --git a/24/CH2/EX2.1.c/Example2_1c_graph.jpg b/24/CH2/EX2.1.c/Example2_1c_graph.jpg
new file mode 100755
index 000000000..8dc9c59b7
--- /dev/null
+++ b/24/CH2/EX2.1.c/Example2_1c_graph.jpg
diff --git a/24/CH2/EX2.1.c/Example2_1c_result.txt b/24/CH2/EX2.1.c/Example2_1c_result.txt
new file mode 100755
index 000000000..6ac548f46
--- /dev/null
+++ b/24/CH2/EX2.1.c/Example2_1c_result.txt
@@ -0,0 +1,3 @@
+**Sample Problem 2-1c**

+The average velocity over the whole journey is 16.774194 km/h

+The average velocity from the graph is 16.774194 km/h 
\ No newline at end of file
diff --git a/24/CH2/EX2.1.d/Example2_1d.sce b/24/CH2/EX2.1.d/Example2_1d.sce
new file mode 100755
index 000000000..49520d56b
--- /dev/null
+++ b/24/CH2/EX2.1.d/Example2_1d.sce
@@ -0,0 +1,12 @@
+//Given that

+exec('Example2_1a.sce', -1)

+exec('Example2_1a.sce', -1)

+clc

+

+//Sample Problem 2-1d

+printf("\n**Sample Probelm 2-1d**\n")

+time_station = 45  //in min

+//he trevels 2 km back to the truck

+final_displacement = overall_displacement + 2  //in km

+final_average_velocity = final_displacement /(delta_t + time_station /60)

+printf("Average velocity from the begining of the drive till reaching back to the truck is %f km/h", final_average_velocity)
\ No newline at end of file
diff --git a/24/CH2/EX2.1.d/Example2_1d_result.txt b/24/CH2/EX2.1.d/Example2_1d_result.txt
new file mode 100755
index 000000000..a4c08a955
--- /dev/null
+++ b/24/CH2/EX2.1.d/Example2_1d_result.txt
@@ -0,0 +1,2 @@
+**Sample Probelm 2-1d**

+Average velocity from the begining of the drive till reaching back to the truck is 9.051095 km/h
\ No newline at end of file
diff --git a/24/CH2/EX2.2/Example2_2.sce b/24/CH2/EX2.2/Example2_2.sce
new file mode 100755
index 000000000..c7b62bf88
--- /dev/null
+++ b/24/CH2/EX2.2/Example2_2.sce
@@ -0,0 +1,42 @@
+//Sample Problem 2-2

+printf("**Sample Problem 2-2**\n")

+//we know that v=dx/dt

+xset('window',2)

+//velocity v/s time graph

+subplot(2,1,1);

+xtitle ("VELOCITY v/s TIME","time (sec)","velocity (m/s)");

+plot2d(linspace(0,0,10),linspace(0,0,10),style=3,rect=[0,0,10,5]);

+//drawing the graph

+plot(linspace(0,1,10),linspace(0,0,10),'m');

+plot(linspace(1,3,10),linspace(0,4,10),'m');

+plot(linspace(3,8,10),linspace(4,4,10),'m');

+plot(linspace(8,9,10),linspace(4,0,10),'m');

+plot(linspace(9,10,10),linspace(0,0,10),'m');

+//dotted lines

+plot(linspace(0,3,5),linspace(4,4,5),'--');

+plot(linspace(3,3,5),linspace(0,4,5),'--');

+plot(linspace(8,8,5),linspace(0,4,5),'--');

+

+//acceleration v/s time graph

+subplot(2,1,2);

+xtitle("ACCELERATION v/s TIME","time (sec)", "acceleration s(m/s^2)")

+plot2d(linspace(0,0,10),linspace(0,0,10),style=0,rect=[0,-5,10,5]);

+//drawing the graph

+plot(linspace(0,1,5),linspace(0,0,5),'m');

+plot(linspace(1,1,5),linspace(0,2,5),'m');

+plot(linspace(1,3,5),linspace(2,2,5),'m');

+plot(linspace(3,3,5),linspace(2,0,5),'m');

+plot(linspace(3,8,5),linspace(0,0,5),'m');

+plot(linspace(8,8,5),linspace(0,-4,5),'m');

+plot(linspace(8,9,5),linspace(-4,-4,5),'m');

+plot(linspace(9,9,5),linspace(-4,0,5),'m');

+plot(linspace(9,10,5),linspace(0,0,5),'m');

+//dotted lines

+plot(linspace(1,1,5),linspace(-5,0,5),'--');

+plot(linspace(3,3,5),linspace(-5,0,5),'--');

+plot(linspace(8,8,5),linspace(-5,-4,5),'-.');

+plot(linspace(9,9,5),linspace(-5,-4,5),'-.');

+plot(linspace(0,1,5),linspace(2,2,5),'--');

+plot(linspace(0,8,5),linspace(-4,-4,5),'--');

+plot(linspace(1,3,5),linspace(0,0,5),'--');

+plot(linspace(8,9,5),linspace(0,0,5),'--');
\ No newline at end of file
diff --git a/24/CH2/EX2.2/Example2_2_graph.jpg b/24/CH2/EX2.2/Example2_2_graph.jpg
new file mode 100755
index 000000000..04478a734
--- /dev/null
+++ b/24/CH2/EX2.2/Example2_2_graph.jpg
diff --git a/24/CH2/EX2.2/Example2_2_result.txt b/24/CH2/EX2.2/Example2_2_result.txt
new file mode 100755
index 000000000..dd2dc4b49
--- /dev/null
+++ b/24/CH2/EX2.2/Example2_2_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 2-2**

+ 
\ No newline at end of file
diff --git a/24/CH2/EX2.3/Example2_3.sce b/24/CH2/EX2.3/Example2_3.sce
new file mode 100755
index 000000000..fef1ed5ee
--- /dev/null
+++ b/24/CH2/EX2.3/Example2_3.sce
@@ -0,0 +1,9 @@
+//Given that

+t = poly(0,'t');

+x = 7.8 + 9.2 * t - 2.1 * t^3;

+

+//Sample Problem 2-3

+printf("**Sample Problem 2-3**\n")

+v = derivat(x)

+velocity = horner(v,3.5)

+printf("Velocity at t=3.5 second is equal to %f m/s", velocity)
\ No newline at end of file
diff --git a/24/CH2/EX2.3/Example2_3_result.txt b/24/CH2/EX2.3/Example2_3_result.txt
new file mode 100755
index 000000000..37a1ed7de
--- /dev/null
+++ b/24/CH2/EX2.3/Example2_3_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 2-3**

+Velocity at t=3.5 second is equal to -67.975000 m/s 
\ No newline at end of file
diff --git a/24/CH2/EX2.4/Example2_4.sce b/24/CH2/EX2.4/Example2_4.sce
new file mode 100755
index 000000000..f1c7e2776
--- /dev/null
+++ b/24/CH2/EX2.4/Example2_4.sce
@@ -0,0 +1,18 @@
+//Given that

+t = poly(0,'t')

+x = t^3  - 27 * t + 4

+

+//Sample Problem 2-4a

+printf("**Sample Problem 2-4a**\n")

+velocity = derivat(x)

+acceleration = derivat(velocity)

+printf("The velocity as a function of time in m/s is")

+disp(velocity)

+printf("The acceleration as a function of time in m/s^2 is")

+disp(acceleration)

+

+//Sample Problem 2-4b

+printf("\n**Sample Problem 2-4b**\n")

+v0 = roots(velocity)

+printf("velocity of the particle is zero at times in sec")

+disp(v0)
\ No newline at end of file
diff --git a/24/CH2/EX2.4/Example2_4_result.txt b/24/CH2/EX2.4/Example2_4_result.txt
new file mode 100755
index 000000000..5912cd5e6
--- /dev/null
+++ b/24/CH2/EX2.4/Example2_4_result.txt
@@ -0,0 +1,11 @@
+**Sample Problem 2-4a**

+The velocity as a function of time in m/s is 

+           2  

+  - 27 + 3t   

+The acceleration as a function of time in m/s^2 is 

+    6t   

+

+**Sample Problem 2-4b**

+velocity of the particle is zero at times in sec 

+    3.  

+  - 3.
\ No newline at end of file
diff --git a/24/CH2/EX2.5/Example2_5.sce b/24/CH2/EX2.5/Example2_5.sce
new file mode 100755
index 000000000..7fd619bed
--- /dev/null
+++ b/24/CH2/EX2.5/Example2_5.sce
@@ -0,0 +1,17 @@
+//Given that

+conv = 5/18  //converts velocity from km/h to in m/s

+speed_initial = 100 * conv  //in km/h

+speed_final = 80 * conv   //in km/h

+displacement = 88  //in meter

+

+//Sample Problem 2-5a

+printf("**Sample Problem 2-5a\n")

+//using newton's 3rd equation of motion

+acceleration = (speed_final^2 - speed_initial^2)/(2 * displacement)

+printf("The acceleration is equal to %f m/sec^2\n", acceleration)

+

+//Sample Problem2-5b

+printf("\n**Sample Problem 2-5a**\n")

+//using newton's first equation of motion

+time = (speed_final - speed_initial)/acceleration

+printf("The time taken to decrease the speed is %f sec", time)
\ No newline at end of file
diff --git a/24/CH2/EX2.5/Example2_5_result.txt b/24/CH2/EX2.5/Example2_5_result.txt
new file mode 100755
index 000000000..089b87e54
--- /dev/null
+++ b/24/CH2/EX2.5/Example2_5_result.txt
@@ -0,0 +1,5 @@
+**Sample Problem 2-5a

+The acceleration is equal to -1.578283 m/sec^2

+

+**Sample Problem 2-5a**

+The time taken to decrease the speed is 3.520000 sec
\ No newline at end of file
diff --git a/24/CH2/EX2.6/Example2_6.sce b/24/CH2/EX2.6/Example2_6.sce
new file mode 100755
index 000000000..d5e1987a9
--- /dev/null
+++ b/24/CH2/EX2.6/Example2_6.sce
@@ -0,0 +1,33 @@
+//Given that

+g = -9.8   //in m/sec^2

+displacement = -48  //in meter

+

+//Sample Problem 2-6a

+printf("**Sample Problem 2-6a**\n")

+//using newton's  equation of motion

+//displacement = 0 * t + .5 * g * t * t

+//displacement = .5 * g * t * t

+time = sqrt(displacement/(.5 * g))

+printf("The time taken to reach at the ground is %f sec\n", time)

+

+//Sample Problem 2-6b

+printf("\n**Sample Problem 2-6b**\n")

+t = poly(0,'t');

+dis_t = 0 * t + .5 * g *t * t

+ds = horner(dis_t,[1,2,3])

+printf("The displacements at times 1,2,3 sec in meter is")

+disp(ds)

+

+//Sample Problem 2-6c

+printf("\n**Sample Problem 2-6c**\n")

+//using newton's first equation of motion v = u + a*t

+velocity = 0 + g * time

+printf("The velocity at water surface is equal to %f km/h\n", velocity)

+

+//Sample Problem 2-6d

+printf("\n**Sample Problem 2-6d**\n")

+//using newton's first equation of motion

+v_at_time_t = 0 + g * t

+velocities = horner(v_at_time_t,[1,2,3])

+printf("The velocitis at times 1,2,3 sec in m/s is")

+disp(velocities)
\ No newline at end of file
diff --git a/24/CH2/EX2.6/Example2_6_result.txt b/24/CH2/EX2.6/Example2_6_result.txt
new file mode 100755
index 000000000..868c2e990
--- /dev/null
+++ b/24/CH2/EX2.6/Example2_6_result.txt
@@ -0,0 +1,13 @@
+**Sample Problem 2-6a**

+The time taken to reach at the ground is 3.129843 sec

+

+**Sample Problem 2-6b**

+The displacements at times 1,2,3 sec in meter is 

+  - 4.9  - 19.6  - 44.1  

+

+**Sample Problem 2-6c**

+The velocity at water surface is equal to -30.672463 km/h

+

+**Sample Problem 2-6d**

+The velocitis at times 1,2,3 sec in m/s is 

+  - 9.8  - 19.6  - 29.4  
\ No newline at end of file
diff --git a/24/CH2/EX2.7/Example2_7.sce b/24/CH2/EX2.7/Example2_7.sce
new file mode 100755
index 000000000..f882519fd
--- /dev/null
+++ b/24/CH2/EX2.7/Example2_7.sce
@@ -0,0 +1,26 @@
+//Given that

+g = -9.8   //in m/sec^2

+v_initial = 12  //in m/s

+v_final = 0  //at maximum height velocity equal to zero

+

+//Sample Problem 2-7a

+printf("**Sample Problem 2-7a**\n")

+//using newton'd first equation of motion

+// v_final = v_initial + g * t

+h_max_time = (v_final - v_initial)/g

+printf("After %f sec, the ball will attain its maximum height\n", h_max_time)

+

+//Sample Problem 2-7b

+printf("\n**Sample Problem 2-7b**\n")

+//using newton's second equation of motion

+h_max = (v_final^2 - v_initial^2)/(2 * g)

+printf("The maximum height reached by the baseball is %f m\n", h_max)

+

+//Sample Problem 2-7c

+printf("\n**Sample Problem 2-7c**\n")

+displacement = 5

+t = poly(0,'t')

+quad_t = v_initial * t + .5 * g * t * t - displacement

+t_5 = roots(quad_t)

+printf("At following times in sec, the ball will be at height 5m")

+disp(t_5)
\ No newline at end of file
diff --git a/24/CH2/EX2.7/Example2_7_result.txt b/24/CH2/EX2.7/Example2_7_result.txt
new file mode 100755
index 000000000..88b0bc094
--- /dev/null
+++ b/24/CH2/EX2.7/Example2_7_result.txt
@@ -0,0 +1,10 @@
+**Sample Problem 2-7a**

+After 1.224490 sec, the ball will attain its maximum height

+

+**Sample Problem 2-7b**

+The maximum height reached by the baseball is 7.346939 m

+

+**Sample Problem 2-7c**

+At following times in sec, the ball will be at height 5m 

+    0.5324153  

+    1.9165643  
\ No newline at end of file