initial commit / add all books

13 files changed, 297 insertions, 0 deletions

diff --git a/3792/CH2/EX2.1/Ex2_1.sce b/3792/CH2/EX2.1/Ex2_1.sce
new file mode 100644
index 000000000..d95f5300f
--- /dev/null
+++ b/3792/CH2/EX2.1/Ex2_1.sce
@@ -0,0 +1,21 @@
+// Example 2_1

+clc;funcprot(0);

+// Given data

+// s=2t^3-24t+6;

+v_a=72;// Velocity in m/s

+v_b=30;// Velocity in m/s

+t_0=1;// s

+t_1=4;// s

+

+// Calculation

+// v=6t^2-24;

+// a=12t;

+// (a)

+t=sqrt((v_a+24)/6);// Time in s

+// (b)

+a=sqrt((v_b+24)/6);// Time in s

+// (c)

+s4=((2*t_1^3)-(24*t)+6);// m

+s1=((2*t_0^3)-(24*t_0)+6)// m;

+deltaS=s4-s1;// The net displacement during the specified interval in m

+printf("\n(a)The time required for the particle to reach a velocity of 72 m/s from its initial condition at t=0 is %1.0f s.\n(b)The acceleration of the particle a=%2.0f m/s^2 \n(c)The net displacement,deltaS=%2.0f m",t,a,deltaS);

diff --git a/3792/CH2/EX2.10/Ex2_10.sce b/3792/CH2/EX2.10/Ex2_10.sce
new file mode 100644
index 000000000..c52f32337
--- /dev/null
+++ b/3792/CH2/EX2.10/Ex2_10.sce
@@ -0,0 +1,18 @@
+// Example 2_10

+clc;funcprot(0);

+// Given data

+theta_i=30;// degrees

+r=25*10^4;// ft

+rdot=4000;// ft/sec

+theta=0.80;// deg/sec

+g=31.4;// ft/sec^2

+

+// Calculation

+v_r=rdot;// ft/sec

+v_theta=r*(theta*%pi/180);// ft/sec

+v=sqrt(v_r^2+v_theta^2);// ft/sec

+a_r=-g*cosd(theta_i);// ft/sec^2

+a_theta=g*sind(theta_i);// ft/sec^2

+rdotdot=a_r+(r*(theta*(%pi/180))^2);// ft/sec^2

+thetadotdot=(a_theta-(2*rdot*theta*%pi/180))/r;// ft/sec^2

+printf("\nThe velocity of the rocket,v=%4.0f ft/sec \nrdotdot=%2.1f ft/sec^2 and thetadotdot=%1.2e rad/sec^2",v,rdotdot,thetadotdot);

diff --git a/3792/CH2/EX2.12/Ex2_12.sce b/3792/CH2/EX2.12/Ex2_12.sce
new file mode 100644
index 000000000..3e360eda7
--- /dev/null
+++ b/3792/CH2/EX2.12/Ex2_12.sce
@@ -0,0 +1,32 @@
+// Example 2_12

+clc;funcprot(0);

+// Given data

+v_0=250;// km/h

+theta_i=15;// degree

+a=0.8;// m/s^2

+t=60;// seconds

+s_0=0;// m

+x=3000;// m

+

+// Calculation

+// (a)

+v_0=v_0/3.6;// m/s

+v=v_0+(a*t);// m/s

+s=s_0+(v_0*t)+((1/2)*a*t^2);// m

+y=s*cosd(theta_i);// m

+theta=atand(y/x);// degree

+r=sqrt(x.^2+y.^2);// m

+v_xy=v*cosd(theta_i);// m/s

+v_r=v_xy*sind(theta);// m/s

+v_theta=v_xy*cosd(theta);// m/s

+thetadot=v_theta/r;// rad/s

+zdot=v*sind(theta_i);// m/s

+v_z=zdot;// m/s

+// (b)

+z=y*tand(theta_i);// m

+phi=atand(z/r);// degree

+R=sqrt(r^2+z^2);// m

+v_R=(v_r*cosd(phi))+(zdot*sind(phi));// m/s

+v_phi=(zdot*(cosd(phi)))-(v_r*sind(phi));// m/s

+phidot=v_phi/R;// m/s

+printf("\n(a)v_r=%2.1f m/s \n   thetadot=%1.2e rad/s \n   zdot=v_z=%2.1f m/s \n(b)v_R=%3.1f m/s \n   thetadot=%1.2e rad/s \n   phidot=%1.3e rad/s",v_r,thetadot,zdot,v_R,thetadot,phidot);

diff --git a/3792/CH2/EX2.13/Ex2_13.sce b/3792/CH2/EX2.13/Ex2_13.sce
new file mode 100644
index 000000000..f5de18d19
--- /dev/null
+++ b/3792/CH2/EX2.13/Ex2_13.sce
@@ -0,0 +1,28 @@
+// Example 2_13

+clc;funcprot(0);

+// Given data

+v_A=800;// km/h

+theta_1=45;// degree

+theta_2=60;// degree

+theta_3=75;// degree

+

+// Calculation

+// (I) Graphical.

+v_BA=586;// km/h

+v_B=717;// km/h

+printf("\nv_BA=%3.0f km/h and v_B=%3.0f km/h",v_BA,v_B);

+// (II) Trigonometric.

+v_B=(sind(theta_2)*v_A)/sind(theta_3);// km/h

+printf("\nv_B=%3.0f km/h",v_B);

+// (III) Vector Algebra

+v_B=[(v_B*cosd(theta_1)),(v_B*sind(theta_1))];// km/h

+v_BA=[-(v_BA*cosd(theta_2)),(v_BA*sind(theta_2))];// km/h

+function[X]=velocity(y)

+    X(1)=(v_A-(y(2)*cosd(theta_2)))-(y(1)*cosd(theta_1));

+    X(2)=(y(2)*sind(theta_2))-(y(1)*sind(theta_1));

+endfunction

+y=[100,100];

+z=fsolve(y,velocity);

+v_BA=z(1);// km/h

+v_B=z(2);// km/h

+printf("\nv_AB=%3.0f km/h and v_B=%3.0f km/h",v_BA,v_B);

diff --git a/3792/CH2/EX2.14/Ex2_14.sce b/3792/CH2/EX2.14/Ex2_14.sce
new file mode 100644
index 000000000..2aefb6540
--- /dev/null
+++ b/3792/CH2/EX2.14/Ex2_14.sce
@@ -0,0 +1,24 @@
+// Example 2_14

+clc;funcprot(0);

+// Given data

+v_A=45;// mi/hr

+v_B=30;// mi/hr

+a_A=3;// ft/sec^2

+theta_1=30;// degree

+theta_2=60;// degree

+rho=440;// The radius of curvature in ft

+

+// Calculation

+// Velocity

+v_A=v_A*(5280/3600);// ft/sec

+v_B=v_B*(5280/3600);// ft/sec

+// By the application of the law of cosines and the law of sines gives

+v_BA=sqrt(v_A^2+v_B^2-(2*v_A*v_B*cosd(theta_2)));// ft/sec

+theta=asind((v_B*sind(theta_2))/v_BA);// degree

+// Acceleration

+a_B=(v_B)^2/rho;// ft/sec^2

+a_BAx=a_B*cosd(theta_1)-a_A;// ft/sec^2

+a_BAy=a_B*sind(theta_1);// ft/sec^2

+a_BA=sqrt(a_BAx^2+a_BAy^2);// ft/sec^2

+beta=asind((a_B*sind(theta_1))/a_BA);// degree

+printf("\nv_BA=%2.1f ft/sec \ntheta=%2.1f degree \na_AB=%1.2f ft/sec^2 \nbeta=%2.1f degree",v_BA,theta,a_BA,beta);

diff --git a/3792/CH2/EX2.15/Ex2_15.sce b/3792/CH2/EX2.15/Ex2_15.sce
new file mode 100644
index 000000000..43e3ca538
--- /dev/null
+++ b/3792/CH2/EX2.15/Ex2_15.sce
@@ -0,0 +1,13 @@
+// Example 2_15

+clc;funcprot(0);

+// Given data

+v_A=0.3;// m/s

+

+// Calculation

+// Solution (I).

+// v_A=y_A,v_B=y_B

+v_B=-(2*v_A)/3;// m/s

+printf("\nThe velocity of B,v_B=%0.1f m/s",v_B);

+// Solution (II).

+v_B=abs((2/3)*v_A);// m/s

+printf("\nThe velocity of B,v_B=%0.1f m/s (upward)",v_B);

diff --git a/3792/CH2/EX2.2/Ex2_2.sce b/3792/CH2/EX2.2/Ex2_2.sce
new file mode 100644
index 000000000..70aee775b
--- /dev/null
+++ b/3792/CH2/EX2.2/Ex2_2.sce
@@ -0,0 +1,19 @@
+// Example 2_2

+clc;funcprot(0);

+// Given data

+v_x=50;// The initial velocity in ft/sec

+a_x=-10;// The acceleration in ft/sec^2

+t_0=8;// s

+t_1=12;// s

+

+// Calculation

+// v_x=90-10t; ft/sec

+v_x0=(90-(10*t_0));// The velocity in ft/sec

+v_x1=(90-(10*t_1));// The velocity in ft/sec

+// x=-5t^2+90t-80; ft

+x_0=(-5*t_0^2)+(90*t_0)-80;// ft

+x_1=(-5*t_1^2)+(90*t_1)-80;// ft

+// The maximum positive x-coordinate is,then, the value of x for t=9 sec which is

+t=9;// sec

+x_max=(-5*t^2)+(90*t)-80;// ft

+printf("\nThe velocity of the particle for the conditions of t=8 sec and t=12 sec,v_x=%2.0f ft/sec & v_x=%2.0f ft/sec \nThe x-coordinate of the particle for the conditions of t=8 sec and t=12 sec, x=%3.0f ft & x=%3.0f ft \nThe maximum positive x-coordinate reached by the particle,x_max=%3.0f ft",v_x0,v_x1,x_0,x_1,x_max)

diff --git a/3792/CH2/EX2.5/Ex2_5.sce b/3792/CH2/EX2.5/Ex2_5.sce
new file mode 100644
index 000000000..b8c3b5772
--- /dev/null
+++ b/3792/CH2/EX2.5/Ex2_5.sce
@@ -0,0 +1,31 @@
+// Example 2_5

+clc;funcprot(0);

+// Given data

+// v_x=50-60t;

+// y=100-4t^2;

+// where v_x is in meters per second, y is in meters, and t is in seconds.

+

+// Calculation

+// x=50t-8t^2;

+a_x=-16;// The x-component of the acceleration in m/s^2

+// v_y=-8t; The y-component of the velocity in m/s

+a_y=-8;// The y-component of the acceleration in m/s^2

+// When y=0,

+t=sqrt(100/4);

+v_x=50-(16*t);

+v_y=-8*(t);

+v=sqrt((v_x.^2)+(v_y.^2));// m/s

+a=sqrt(a_x.^2+a_y.^2);// m/s^2

+printf("\nThe velocity,v=%2.0fi+(%2.0fj) m/s \nThe acceleration,a=%2.0fi+(%1.0fj) m/s^2",v_x,v_y,a_x,a_y);

+y=[0,20,40,60,80,100];// m

+for(i=1:6)

+    t(i)=sqrt((100-y(i))/4);// s

+    x(i)=((50*t(i))-(8*t(i).^2));// m

+    v_x(i)=((50*t(i)-(8*t(i).^2)));// m/s

+    v_y(i)=(-8*t(i));// m/s

+    v=sqrt((v_x.^2)+(v_y.^2));// m/s

+    a=sqrt(a_x.^2+a_y.^2);// m/s^2

+end

+plot(x',y,'-.*');

+xlabel('x,m');

+ylabel('y,m');

diff --git a/3792/CH2/EX2.5/Fig2_5.jpg b/3792/CH2/EX2.5/Fig2_5.jpg
new file mode 100644
index 000000000..2e362780d
--- /dev/null
+++ b/3792/CH2/EX2.5/Fig2_5.jpg
diff --git a/3792/CH2/EX2.6/Ex2_6.sce b/3792/CH2/EX2.6/Ex2_6.sce
new file mode 100644
index 000000000..c60b35cdf
--- /dev/null
+++ b/3792/CH2/EX2.6/Ex2_6.sce
@@ -0,0 +1,44 @@
+// Example 2_6

+clc;funcprot(0);

+// Given data

+v_0=80;// The launch speed in ft/sec

+theta=35;// The launch angle in degree

+m=8;// lb

+g=32.2;// The acceleration due to gravity in ft/sec^2

+y_0=6;// ft

+x_0=0;// ft

+x=100+30;// ft

+

+// Calculation

+v_x0=v_0*cosd(theta);// ft/sec

+t=(x-x_0)/v_x0;// s

+v_y0=v_0*sind(theta);// ft/sec

+y=(y_0+(v_y0*t))-((1/2)*g*t^2);// ft

+// (a)

+// We now find the flight time by setting

+y_01=20;// ft

+function[X]=time(y)

+    X(1)=((y_0+(v_y0*y(1))-((1/2)*g*y(1)^2)))-y_01;

+endfunction

+y=[10];

+z=fsolve(y,time);

+t_f=z(1);// s

+x=x_0+(v_x0*t_f);// ft

+printf("\n(a)The time duration of the flight,t_f=%1.2f s",t_f);

+//(b)

+printf("\n(b)Thus the point of first impact is (x,y)=(%3.0f,%2.0f)ft",x,y_01);

+// (c)

+v_y=0;// ft

+h=((v_y0^2-v_y^2)/(2*g))+6;// ft

+printf("\n(c)The maximum height above the horizontal field attained by the ball,h=%2.1f ft",h);

+// (d)

+v_x=v_x0;// ft/sec

+v_y=v_y0-(g*t_f);// ft/sec

+printf("\n(d)The impact velocity,v=%2.1f i+(%2.1f j) ft/sec",v_x,v_y);

+x=100+30;// ft (given)

+v_0=75;// ft/sec (given)

+v_x0=v_0*cosd(theta);// ft/sec

+t=(x-x_0)/v_x0;// s

+v_y0=v_0*sind(theta);// ft/sec

+y=(y_0+(v_y0*t))-((1/2)*g*t^2);// ft

+printf("\n   The point of impact is (x,y)=(%3.0f,%2.1f)ft",x,y);

diff --git a/3792/CH2/EX2.7/Ex2_7.sce b/3792/CH2/EX2.7/Ex2_7.sce
new file mode 100644
index 000000000..d54a73078
--- /dev/null
+++ b/3792/CH2/EX2.7/Ex2_7.sce
@@ -0,0 +1,24 @@
+// Example 2_7

+clc;funcprot(0);

+// Given data

+a=3;// m/s^2

+v_A=100;// km/h

+v_C=50;// km/h

+s=120;// m

+

+// Calculation

+v_A=v_A*(1000/3600);// The velocity in m/s

+v_C=v_C*(1000/3600);// The velocity in m/s

+a_t=(1/(2*s))*(v_C.^2-v_A.^2);// The acceleration in m/s^2

+// (a) Condition at A.

+a_n=sqrt(a.^2-(a_t).^2);// The acceleration in m/s^2

+rho_A=v_A.^2/a_n;// The radius of curvature at A in m

+// (b) Condition at B.

+a_n=0;// m/s^2

+a_b=a_n+a_t;// The acceleration at the inflection point B in m/s^2

+// (c) Condition at C.

+rho=150;// The radius of curvature of the hump at C in m

+a_n=v_C.^2/rho;// The normal acceleration in m/s^2

+a=sqrt(a_n.^2+a_t.^2);// The total acceleration at C in m/s^2

+printf("\n(a)The radius of curvature at A,rho=%3.0f m \n(b)The acceleration at the inflection point B,a=%1.2f m/s^2 \n(c)The total acceleration at C,a=%1.2f m/s^2",rho_A,a_b,a)

+

diff --git a/3792/CH2/EX2.8/Ex2_8.sce b/3792/CH2/EX2.8/Ex2_8.sce
new file mode 100644
index 000000000..8ebf9862f
--- /dev/null
+++ b/3792/CH2/EX2.8/Ex2_8.sce
@@ -0,0 +1,22 @@
+// Example 2_8

+clc;funcprot(0);

+// Given data

+g=30;// The acceleration due to gravity in ft/sec^2

+theta=15;// The direction of its trajectory in degree

+v=12000;// The velocity in mi/hr

+a_x=20;// The horizontal component of acceleration in ft/sec^2

+a_y=g;// The downward acceleration component in ft/sec^2

+

+// Calculation

+a_n=(a_y*cosd(theta))-(a_x*sind(theta));// The normal component of acceleration in ft/sec^2

+a_t=(a_y*sind(theta))+(a_x*cosd(theta));// The tangential component of acceleration in ft/sec^2

+// (a)

+v=v*44/30;// ft/sec

+rho=v^2/a_n;// The radius of curvature in ft

+// (b)

+vdot=a_t;// The t-component of acceleration in ft/sec^2

+// (c)

+betadot=v/rho;// The angular rate of line GC in rad/sec

+// (d)

+a=[a_n,a_t];// The total acceleration in ft/sec^2

+printf("\n(a) The radius of curvature,rho=%2.2e ft \n(b)The t-component of acceleration,v_dot=%2.1f ft/sec^2 \n(c)The angular rate of line GC,betadot=%2.2e rad/sec \n(d)The total acceleration,a=%2.1f e_n+%2.1f e_t ft/sec^2",rho,vdot,betadot,a(1),a(2));

diff --git a/3792/CH2/EX2.9/Ex2_9.sce b/3792/CH2/EX2.9/Ex2_9.sce
new file mode 100644
index 000000000..3c2bc9da8
--- /dev/null
+++ b/3792/CH2/EX2.9/Ex2_9.sce
@@ -0,0 +1,21 @@
+// Example 2_9

+clc;funcprot(0);

+// Given data

+// theta=0.2t+0.02t^3;

+// r=0.2+0.04t^2;

+t=3;// s

+

+// Calculation

+r_3=0.2+(0.04*t^2);// m

+rdot_3=0.08*t;// m/s

+rdotdot_3=0.08;// m/s^2

+theta_3=(0.2*t)+(0.02*t^3);// rad

+thetadot_3=0.2+(0.06*t^2);// rad/s

+thetadotdot_3=0.12*t;// rad/s^2

+v_r=rdot_3;// m/s

+v_theta=r_3*thetadot_3;// m/s

+v=sqrt(v_r^2+v_theta^2);// m/s

+a_r=rdotdot_3-(r_3*thetadot_3^2);// m/s^2

+a_theta=((r_3*thetadotdot_3)+(2*rdot_3*thetadot_3));// m/s^2

+a=sqrt(a_r^2+a_theta^2);// m/s^2

+printf("\nThe magnitudes of the velocity and acceleration of the slider, v=%0.3f m/s and a=%0.3f m/s^2",v,a);