Added new codeHEADmaster

32 files changed, 351 insertions, 0 deletions

diff --git a/3886/CH13/EX13.1/13_1.sce b/3886/CH13/EX13.1/13_1.sce
new file mode 100644
index 000000000..43f13dc2a
--- /dev/null
+++ b/3886/CH13/EX13.1/13_1.sce
@@ -0,0 +1,13 @@
+//Pilot and his bomber

+//refer fig.13.3

+h=2000  //m

+u=(600*1000)/(60*60)  //m/sec

+//initial velocity in vertical direction

+//gravitational acceleration=9.81 m/sec^2

+//if t is the time of flight

+t=sqrt((2000*2)/(9.81))  //sec

+//during this period horizontal distance travelled by the bomb must be  (d)

+d=u*t  //m

+printf("Bomb should be released at %.2f m from the target",d)

+

+ 

diff --git a/3886/CH13/EX13.1/13_1.txt b/3886/CH13/EX13.1/13_1.txt
new file mode 100644
index 000000000..283fd2ebd
--- /dev/null
+++ b/3886/CH13/EX13.1/13_1.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.1.sce', -1)

+Bomb should be released at 3365.46 m from the target
\ No newline at end of file
diff --git a/3886/CH13/EX13.10/13_10.sce b/3886/CH13/EX13.10/13_10.sce
new file mode 100644
index 000000000..f279c5ec8
--- /dev/null
+++ b/3886/CH13/EX13.10/13_10.sce
@@ -0,0 +1,9 @@
+//cricket ball

+//refer fig. 13.15

+u=20  //m/sec

+alpha=30  //degree

+Y0=-1.5  //m

+t=2.179  //sec

+//Distance of the fielder from the wickets

+Range=u*t*cosd(alpha)  //m

+printf("The distance of the fielder from the wickets=%.3f m",Range)

diff --git a/3886/CH13/EX13.10/13_10.txt b/3886/CH13/EX13.10/13_10.txt
new file mode 100644
index 000000000..340d1d676
--- /dev/null
+++ b/3886/CH13/EX13.10/13_10.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.10.sce', -1)

+The distance of the fielder from the wickets=37.741 m
\ No newline at end of file
diff --git a/3886/CH13/EX13.11/13_11.sce b/3886/CH13/EX13.11/13_11.sce
new file mode 100644
index 000000000..79b734ed7
--- /dev/null
+++ b/3886/CH13/EX13.11/13_11.sce
@@ -0,0 +1,22 @@
+//Gravel is thrown in bin

+//refer fig. 13.16 and 13.17

+//taking O as origin

+u=5  //m/sec

+alpha=50  //degree

+//for point B

+y=-10  //m

+t=1.871  //sec

+//Horizontal distance travelled in this time=6.012 m

+//Vertical component of velocity of gravel at the time of striking the bin is=14.524 m/sec (downwards) 

+//Horizontal component of velocity=5*cosd(50)  m/sec

+//Velocity of strike

+v=sqrt((14.524^2)+(3.214^2))  //m/sec

+theta=atand(14.524/3.214)  //degree to the horizontal

+printf("\nt=%.2f sec\nHorizontal distance travelled=6.012 m\nv=%.2f m/sec\ntheta=%.2f degree to horizontal",t,v,theta)

+

+

+

+

+

+

+  

diff --git a/3886/CH13/EX13.11/13_11.txt b/3886/CH13/EX13.11/13_11.txt
new file mode 100644
index 000000000..32955cd47
--- /dev/null
+++ b/3886/CH13/EX13.11/13_11.txt
@@ -0,0 +1,7 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.11.sce', -1)

+

+t=1.87 sec

+Horizontal distance travelled=6.012 m

+v=14.88 m/sec

+theta=77.52 degree to horizontal
\ No newline at end of file
diff --git a/3886/CH13/EX13.12/13_12.sce b/3886/CH13/EX13.12/13_12.sce
new file mode 100644
index 000000000..8e7171a05
--- /dev/null
+++ b/3886/CH13/EX13.12/13_12.sce
@@ -0,0 +1,26 @@
+//soldier fires a bullet

+//refer fig 13.18

+//equation of trajectory of bullet is known thus

+//For the point on ground where bullet strikes

+y=-50  //m

+x=100 //m

+u=31.32  //m/sec

+//alpha=0 or

+alpha=atand(2)  //degree

+//when alpha =0

+//Horizontal component of velocity

+vx=31.32  //m/sec

+//Vertical component of velocity

+vy=sqrt(2*9.81*50)  //m/sec

+//Velocity of strike

+v=sqrt((31.32^2)+(31.32^2))  //m/sec

+theta=atand(1)  //degree

+//when alpha=63.435 degree   vx=14.007 m/sec

+//vy=42.02 m/sec

+bv=sqrt((14.007^2)+(42.02^2))  //m/sec

+btheta= atand(42.02/14.007)  //degree to horizontal

+printf("\nalpha=%.2f degree\nv=%.2f m/sec\ntheta=%.2f degree\nv=%.2f m/sec\ntheta=%.2f degree to horizontal",alpha,v,theta,bv,btheta)

+

+

+

+ 

diff --git a/3886/CH13/EX13.12/13_12.txt b/3886/CH13/EX13.12/13_12.txt
new file mode 100644
index 000000000..85d20f29d
--- /dev/null
+++ b/3886/CH13/EX13.12/13_12.txt
@@ -0,0 +1,8 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.12.sce', -1)

+

+alpha=63.43 degree

+v=44.29 m/sec

+theta=45.00 degree

+v=44.29 m/sec

+theta=71.56 degree to horizontal
\ No newline at end of file
diff --git a/3886/CH13/EX13.13/13_13.sce b/3886/CH13/EX13.13/13_13.sce
new file mode 100644
index 000000000..e02bea7cd
--- /dev/null
+++ b/3886/CH13/EX13.13/13_13.sce
@@ -0,0 +1,12 @@
+//a rebounding ball

+//refer fig.13.19

+//at A the vertical component of velocity =u*asind(alpha)

+//when h=19 m Vertical component of velocity =0

+//y-coordinate of B=-24.033m

+//considering the motion in vertically upward direction 

+t=4.93  //sec

+//x-coordinate of B=72.1 m

+//considering the horizontal motion of the ball

+alpha=atand(19.308/14.625)  //degree

+u=14.625/cosd(52.86)  //m/sec

+printf("\nalpha=%.2f degree\nu=%.2f m/sec",alpha,u)

diff --git a/3886/CH13/EX13.13/13_13.txt b/3886/CH13/EX13.13/13_13.txt
new file mode 100644
index 000000000..713d65210
--- /dev/null
+++ b/3886/CH13/EX13.13/13_13.txt
@@ -0,0 +1,5 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.13.sce', -1)

+

+alpha=52.86 degree

+u=24.22 m/sec
\ No newline at end of file
diff --git a/3886/CH13/EX13.14/13_14.sce b/3886/CH13/EX13.14/13_14.sce
new file mode 100644
index 000000000..80f611478
--- /dev/null
+++ b/3886/CH13/EX13.14/13_14.sce
@@ -0,0 +1,28 @@
+//Flying bomber

+//refer fig. 13.20

+h=2400  //m

+//Let the time required for bomb to reach ground be t seconds

+//then

+t=sqrt((2400*2)/(9.81))  //sec

+u=(1000*1000)/(60*60)  //m/sec

+//Horizontal distance moved by bomb d

+d=u*t  //m

+//muzzle velocity=600 m/sec

+//velocity of projection u=600 m/sec

+//alpha=60 degree

+//shell has to hit the bomber at height h=2400 m

+//let time required for the shell to rise to this height be t1

+//then

+//t1=110.370 sec or 4.433 sec

+//when t1=110.370 sec

+//horizontal distance moved by the shell=600*cosd(60)*110.370 m

+//distance moved by plane during this period=30658.58 m

+//the gun must fire the shell when the bomber is at a distance=33111+30658.58  m

+//when t1=4.839 sec

+//horizontal distance moved by the shell=1331.70 m

+//distance moved by plane during this period=1233.07 m

+//the gun must fire the shell when the bomber is at a distance=2564.77 m

+printf("\nThe bomb should be released when the bomber is %.2f m away from the target",d)

+printf("\nWhen the shell is fired at a distance of 63769.58 m, it will hit the plane in its downward motion.")

+printf("\nIf the shell is fired when the bomber is at a distance of 2795.87 m, then it will hit the bomber during its upward motion")

+

diff --git a/3886/CH13/EX13.14/13_14.txt b/3886/CH13/EX13.14/13_14.txt
new file mode 100644
index 000000000..1f5f654da
--- /dev/null
+++ b/3886/CH13/EX13.14/13_14.txt
@@ -0,0 +1,6 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.14.sce', -1)

+

+The bomb should be released when the bomber is 6144.46 m away from the target

+When the shell is fired at a distance of 63769.58 m, it will hit the plane in its downward motion.

+If the shell is fired when the bomber is at a distance of 2795.87 m, then it will hit the bomber during its upward motion
\ No newline at end of file
diff --git a/3886/CH13/EX13.15/13_15.sce b/3886/CH13/EX13.15/13_15.sce
new file mode 100644
index 000000000..30800ed82
--- /dev/null
+++ b/3886/CH13/EX13.15/13_15.sce
@@ -0,0 +1,13 @@
+//A plane

+//initial velocity

+u=200  //m/sec

+//angle of projection 

+alpha=30  //degree

+//Inclination of the plane=atand(5/12) degree

+//(a) When the shot is fired up the plane

+abeta=22.62  //degree

+aRange=((200^2)/(9.81*(cosd(22.62))^2))*((sind(2*30-22.62))-(sind(22.62)))  //m

+//(b) When the shot is fired down the plane

+bbeta=-22.62  //degree

+bRange=((200*200)/(9.81*(cosd(22.62))^2))*(sind(82.62)+sind(22.62))  //m

+printf("\nWhen the shot is fired up the plane\nRange=%.2f m\nWhen the shot is fired down the plane\nRange=%.2f m",aRange,bRange)

diff --git a/3886/CH13/EX13.15/13_15.txt b/3886/CH13/EX13.15/13_15.txt
new file mode 100644
index 000000000..984206ce0
--- /dev/null
+++ b/3886/CH13/EX13.15/13_15.txt
@@ -0,0 +1,7 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.15.sce', -1)

+

+When the shot is fired up the plane

+Range=1064.65 m

+When the shot is fired down the plane

+Range=6586.27 m
\ No newline at end of file
diff --git a/3886/CH13/EX13.16/13_16.sce b/3886/CH13/EX13.16/13_16.sce
new file mode 100644
index 000000000..635c1dee2
--- /dev/null
+++ b/3886/CH13/EX13.16/13_16.sce
@@ -0,0 +1,15 @@
+//person throws a ball

+//refer fig. 13.23

+//(a) Up the plane

+atheta=35  //degree

+aalpha=atheta+20  //degree

+//maximum range

+aRangemax=((30*30)/(9.81*(cosd(20))^2))*(sind(2*55-20)-sind(20))  //m

+//(b) Down the plane

+//refer fig. 13.24

+btheta=(90+20)/2  //degree

+balpha=55-20  //degree

+//maximum range  

+bRangemax=((30*30)/(9.81*(cosd(-20))^2))*(sind(2*35+20)-sind(-20))  //m

+printf("\nUp the plane\nMax Range=%.3f m",aRangemax)

+printf("\nDown the plane\nMax Range=%.3f m",bRangemax)

diff --git a/3886/CH13/EX13.16/13_16.txt b/3886/CH13/EX13.16/13_16.txt
new file mode 100644
index 000000000..8e74c42e4
--- /dev/null
+++ b/3886/CH13/EX13.16/13_16.txt
@@ -0,0 +1,7 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.16.sce', -1)

+

+Up the plane

+Max Range=68.362 m

+Down the plane

+Max Range=139.432 m
\ No newline at end of file
diff --git a/3886/CH13/EX13.2/13_2.sce b/3886/CH13/EX13.2/13_2.sce
new file mode 100644
index 000000000..bee681c1a
--- /dev/null
+++ b/3886/CH13/EX13.2/13_2.sce
@@ -0,0 +1,10 @@
+//Person jumping over ditch

+//refer fig. 13.4 

+h=2  //m

+Range=3  //m

+//let t be the time of flight and u the minimum horizontal velocity required

+//consider vertical motion

+t=sqrt((2*2)/(9.81))  //sec

+//consider horizontal motion of uniform velocity

+u=3/0.6386  //m/sec

+printf("Person should jump with u=%.2f m/sec",u)

diff --git a/3886/CH13/EX13.2/13_2.txt b/3886/CH13/EX13.2/13_2.txt
new file mode 100644
index 000000000..118faf399
--- /dev/null
+++ b/3886/CH13/EX13.2/13_2.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.2.sce', -1)

+Person should jump with u=4.70 m/sec
\ No newline at end of file
diff --git a/3886/CH13/EX13.3/13_3.sce b/3886/CH13/EX13.3/13_3.sce
new file mode 100644
index 000000000..aef50ecb8
--- /dev/null
+++ b/3886/CH13/EX13.3/13_3.sce
@@ -0,0 +1,21 @@
+//Pressure tank

+//refer fig. 13.5

+//Required velocity to enter at B

+h=1  //m

+//If t1 is the time of flight , considering vertical motion

+t1=sqrt(2/9.81)  //sec

+//Considering horizontal motion

+u1=3/t1  //m/sec

+//Required velocity to enter at C

+//let t2  be the time required for flight from A to C

+bh=2.5  //m

+Range=3  //m

+//Considering Vertical motion

+t2=sqrt((2*2.5)/9.81)  //sec

+//Considering horizontal motion

+u2=3/t2  //m/sec

+printf("The range of velocity for which the jet can enter the opening BC is %.2f m/sec to %.2f m/sec",u2,u1)

+

+

+

+

diff --git a/3886/CH13/EX13.3/13_3.txt b/3886/CH13/EX13.3/13_3.txt
new file mode 100644
index 000000000..f2bd18a76
--- /dev/null
+++ b/3886/CH13/EX13.3/13_3.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.3.sce', -1)

+The range of velocity for which the jet can enter the opening BC is 4.20 m/sec to 6.64 m/sec
\ No newline at end of file
diff --git a/3886/CH13/EX13.4/13_4.sce b/3886/CH13/EX13.4/13_4.sce
new file mode 100644
index 000000000..f361c7c11
--- /dev/null
+++ b/3886/CH13/EX13.4/13_4.sce
@@ -0,0 +1,13 @@
+//Rocket released from fighter jet

+//refer fig. 13.6

+h=3000  //m

+//If t is time of flight then

+//using equations of motion

+t=sqrt((2*3000)/(9.81))  //sec

+u=(1200*1000)/(60*60)  //m/sec

+//Horizontal distance covered during the time of flight=range

+a=6  //m/sec^2

+Range=u*t+(1/2)*a*(t^2)  //m

+//Angle theta below the horizontal at which the pilot must see the target while releasing the rocket is

+theta=atand(3000/10078.5)  //degree

+printf("Angle theta below the horizontal at which the pilot must see the target while releasing the rocket is=%.3f degree",theta)

diff --git a/3886/CH13/EX13.4/13_4.txt b/3886/CH13/EX13.4/13_4.txt
new file mode 100644
index 000000000..8b9c2dcb0
--- /dev/null
+++ b/3886/CH13/EX13.4/13_4.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.4.sce', -1)

+Angle theta below the horizontal at which the pilot must see the target while releasing the rocket is=16.576 degree
\ No newline at end of file
diff --git a/3886/CH13/EX13.5/13_5.sce b/3886/CH13/EX13.5/13_5.sce
new file mode 100644
index 000000000..5d85db0b0
--- /dev/null
+++ b/3886/CH13/EX13.5/13_5.sce
@@ -0,0 +1,9 @@
+//Body is projected

+//u be the velocity of projection and alpha the angle of projection

+//then maximum height reached=((u^2)*(sind(alpha))^2)/(2*g)

+//range=((u^2)*sind(2*alpha))/(g)

+//in this case 

+//Range=3*maximum height reached

+//thus

+alpha=atand(4/3)  //degree

+printf("\n alpha=%.2f degree",alpha) 

diff --git a/3886/CH13/EX13.5/13_5.txt b/3886/CH13/EX13.5/13_5.txt
new file mode 100644
index 000000000..c04edd3bc
--- /dev/null
+++ b/3886/CH13/EX13.5/13_5.txt
@@ -0,0 +1,4 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.5.sce', -1)

+

+ alpha=53.13 degree
\ No newline at end of file
diff --git a/3886/CH13/EX13.6/13_6.sce b/3886/CH13/EX13.6/13_6.sce
new file mode 100644
index 000000000..a7bd5829e
--- /dev/null
+++ b/3886/CH13/EX13.6/13_6.sce
@@ -0,0 +1,19 @@
+//Projectile aimed at target

+//refer fig. 13.9

+//let s be the distance of the target from the point of projection

+//u be the velocity of projection 

+//range

+//R=((u^2)*sind(2*alpha))/(g)

+//applying it to first case 

+//s-12=(u^2)/(2*g)

+//from second case 

+//s+24=(u^2)/(g)

+//solving we get

+s=24+24  //m

+//let the correct angle of projection be alpha, then

+//sind(2*alpha)=48/72

+alpha=41.81/2  //degree

+printf("Angle of projection=%.3f degree",alpha)

+

+

+

diff --git a/3886/CH13/EX13.6/13_6.txt b/3886/CH13/EX13.6/13_6.txt
new file mode 100644
index 000000000..dceeda60a
--- /dev/null
+++ b/3886/CH13/EX13.6/13_6.txt
@@ -0,0 +1,4 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.6.sce', -1)

+Angle of projection=20.905 degree

+--> 

diff --git a/3886/CH13/EX13.7/13_7.sce b/3886/CH13/EX13.7/13_7.sce
new file mode 100644
index 000000000..dbb03fadd
--- /dev/null
+++ b/3886/CH13/EX13.7/13_7.sce
@@ -0,0 +1,13 @@
+//Projectile

+//let u be the initial velocity and alpha its angle of projection

+//Vertical component of velocity=u*sind(alpha)

+//Horizontal component of velocity=u*cosd(alpha)

+//thus according to given condition

+alpha=atand(1/2)  //degree

+//when x=18 m y=3 m

+//using equation of trajectory

+u=sqrt((9.81*(18^2))/(6*2*(cosd(26.565))^2))  //m/sec

+g=9.81  //m/sec

+//range on the horizontal plane  (range)

+range=((u^2)*sind(2*alpha))/(g)  //m

+printf("Range on the horizontal plane=%.2f m",range)

diff --git a/3886/CH13/EX13.7/13_7.txt b/3886/CH13/EX13.7/13_7.txt
new file mode 100644
index 000000000..2936a3822
--- /dev/null
+++ b/3886/CH13/EX13.7/13_7.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.7.sce', -1)

+Range on the horizontal plane=27.00 m
\ No newline at end of file
diff --git a/3886/CH13/EX13.8/13_8.sce b/3886/CH13/EX13.8/13_8.sce
new file mode 100644
index 000000000..5d900a1a7
--- /dev/null
+++ b/3886/CH13/EX13.8/13_8.sce
@@ -0,0 +1,15 @@
+//Find the least initial velocity

+//refer fig. 13.10

+//Let u the initial velocity required and alpha the angle of projection

+//here

+range=9  //m

+//at P x=5m and y=4m

+//u^2=(9*g)/(sind(2*alpha)) 

+//from the equation of trajectory

+alpha=atand(1.8)  //degree

+//thus

+u=sqrt((9*9.81)/(sind(2*60.95)))  //m/sec

+printf("u=%.2f m/sec",u)

+

+

+

diff --git a/3886/CH13/EX13.8/13_8.txt b/3886/CH13/EX13.8/13_8.txt
new file mode 100644
index 000000000..c162baaf8
--- /dev/null
+++ b/3886/CH13/EX13.8/13_8.txt
@@ -0,0 +1,3 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.8.sce', -1)

+u=10.20 m/sec
\ No newline at end of file
diff --git a/3886/CH13/EX13.9/13_9.sce b/3886/CH13/EX13.9/13_9.sce
new file mode 100644
index 000000000..bbde6602b
--- /dev/null
+++ b/3886/CH13/EX13.9/13_9.sce
@@ -0,0 +1,36 @@
+//Bullet fired

+//refer fig. 13.13

+//velocity of projection

+u=(360*1000)/(60*60)  //m/sec

+//(a) total time of flight

+//method 1

+y0=-120  //m

+//considering vertical motion and solving quadratic equation

+t=12.20  //sec

+//method 2

+//t1=(100*sind(30))/(9.81)  //sec

+//maximum height reached in this time

+//h=((100^2)*(sind(30))^2)/(2*9.81)  //m

+//during downward motion

+//t2=7.1  //sec

+//t=t1+t2  //sec

+//method 3

+//time required to travel from A to D

+//t1=10.19  //sec

+//g=9.81  //m/sec^2

+//distance travelled=120 m

+t=12.20 //sec

+//(b) Maximum height reached by the bullet

+//h=((100^2)*(sind(30))^2)/(2*9.81) m above point A

+h=127.42+120  //m above the ground

+//(c)Horizontal range

+Hrange=100*12.2*cosd(30)  //m

+//(d)Velocity of the bullet just before striking the ground

+//vertical component of velocity=69.682 m/sec

+//horizontal component of velocity=86.603 m/sec

+//velocity at strike

+v=sqrt((69.682^2)+(86.603^2))  //m/sec

+theta=atand(69.682/86.603)  //degree

+printf("\nt=%.2f sec\nh=%.2f m above the ground\nHorizontal range=%.2f m\nv=%.2f m/sec\ntheta=%.2f degree",t,h,Hrange,v,theta)

+

+  

diff --git a/3886/CH13/EX13.9/13_9.txt b/3886/CH13/EX13.9/13_9.txt
new file mode 100644
index 000000000..5683f2c41
--- /dev/null
+++ b/3886/CH13/EX13.9/13_9.txt
@@ -0,0 +1,8 @@
+ 

+--> exec('E:\My program EM\13. Projectiles\13.9.sce', -1)

+

+t=12.20 sec

+h=247.42 m above the ground

+Horizontal range=1056.55 m

+v=111.16 m/sec

+theta=38.82 degree
\ No newline at end of file