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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /24/CH6
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-rwxr-xr-x24/CH6/EX6.1/Example6_1.sce12
-rwxr-xr-x24/CH6/EX6.1/Example6_1_result.txt2
-rwxr-xr-x24/CH6/EX6.2/Example6_2.sce20
-rwxr-xr-x24/CH6/EX6.2/Example6_2_FBD.jpgbin0 -> 39593 bytes
-rwxr-xr-x24/CH6/EX6.2/Example6_2_result.txt5
-rwxr-xr-x24/CH6/EX6.3/Example6_3.sce13
-rwxr-xr-x24/CH6/EX6.3/Example6_3_FBD.jpgbin0 -> 33133 bytes
-rwxr-xr-x24/CH6/EX6.3/Example6_3_result.txt2
-rwxr-xr-x24/CH6/EX6.4/Example6_4.sce12
-rwxr-xr-x24/CH6/EX6.4/Example6_4_result.txt2
-rwxr-xr-x24/CH6/EX6.5/Example6_5.sce21
-rwxr-xr-x24/CH6/EX6.5/Example6_5_result.txt5
-rwxr-xr-x24/CH6/EX6.6/Example6_6.sce15
-rwxr-xr-x24/CH6/EX6.6/Example6_6_result.txt5
-rwxr-xr-x24/CH6/EX6.7/Example6_7.sce9
-rwxr-xr-x24/CH6/EX6.7/Example6_7_result.txt2
-rwxr-xr-x24/CH6/EX6.8/Example6_8.sce19
-rwxr-xr-x24/CH6/EX6.8/Example6_8_FBD.jpgbin0 -> 37176 bytes
-rwxr-xr-x24/CH6/EX6.8/Example6_8_result.txt5
-rwxr-xr-x24/CH6/EX6.9/Example6_9.sce12
-rwxr-xr-x24/CH6/EX6.9/Example6_9_FBD.jpgbin0 -> 19548 bytes
-rwxr-xr-x24/CH6/EX6.9/Example6_9_result.txt2
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diff --git a/24/CH6/EX6.1/Example6_1.sce b/24/CH6/EX6.1/Example6_1.sce
new file mode 100755
index 000000000..850db023b
--- /dev/null
+++ b/24/CH6/EX6.1/Example6_1.sce
@@ -0,0 +1,12 @@
+//Given that
+mu_k = 0.6
+d = 290 //in meter
+g = 9.8 //in m/s^2
+v_final = 0
+
+//Sample Problem 6-1
+printf("**Sample Problem 6-1**\n")
+//using newton's 3rd equation of motion
+ac = - mu_k * g //due to friction hence a negative sign
+v_initial = sqrt(v_final^2 - 2 * ac * d)
+printf("The inital velocity of that car would have been %f m/s", v_initial) \ No newline at end of file
diff --git a/24/CH6/EX6.1/Example6_1_result.txt b/24/CH6/EX6.1/Example6_1_result.txt
new file mode 100755
index 000000000..c6620b506
--- /dev/null
+++ b/24/CH6/EX6.1/Example6_1_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 6-1**
+The inital velocity of that car would have been 58.398630 m/s
diff --git a/24/CH6/EX6.2/Example6_2.sce b/24/CH6/EX6.2/Example6_2.sce
new file mode 100755
index 000000000..6640c9ece
--- /dev/null
+++ b/24/CH6/EX6.2/Example6_2.sce
@@ -0,0 +1,20 @@
+exec("degree_rad.sci",-1)
+
+//GIven that
+g = 9.8 //in /s^2
+mass = 75 //in kg
+mu_k = 0.10
+phi = dtor(42)
+
+//Sample Problem 6-2a
+printf("**Sample Problem 6-2a**\n")
+//T * cos(phi)- mu_k * N = 0
+//T * sin(phi) + N = mass * g
+mat_A = [cos(phi),-mu_k;sin(phi),1]
+mat_B = [0 ;mass * g]
+F = inv(mat_A) * mat_B
+printf("The Tension in the string is %f N\n", F(1))
+
+//Sample Problem 6-2b
+printf("\n**Sample Problem 6-2b**\n")
+printf("The force of friction will not change") \ No newline at end of file
diff --git a/24/CH6/EX6.2/Example6_2_FBD.jpg b/24/CH6/EX6.2/Example6_2_FBD.jpg
new file mode 100755
index 000000000..47b424d1d
--- /dev/null
+++ b/24/CH6/EX6.2/Example6_2_FBD.jpg
Binary files differ
diff --git a/24/CH6/EX6.2/Example6_2_result.txt b/24/CH6/EX6.2/Example6_2_result.txt
new file mode 100755
index 000000000..f95e9e07b
--- /dev/null
+++ b/24/CH6/EX6.2/Example6_2_result.txt
@@ -0,0 +1,5 @@
+**Sample Problem 6-2a**
+The Tension in the string is 90.734256 N
+
+**Sample Problem 6-2b**
+The force of friction will not change \ No newline at end of file
diff --git a/24/CH6/EX6.3/Example6_3.sce b/24/CH6/EX6.3/Example6_3.sce
new file mode 100755
index 000000000..314648b73
--- /dev/null
+++ b/24/CH6/EX6.3/Example6_3.sce
@@ -0,0 +1,13 @@
+exec("degree_rad.sci",-1)
+
+//Given that
+theta = dtor(13)
+
+//Sample Problem 6-3
+printf("**Sample Problem 6-3**\n")
+//N = mg cos(theta)
+//f_s = mg sin(theta)
+//dividing->
+//f_s/N = tan(theta)
+mu_s = tan(theta)
+printf("The value of coefficient of static friction is %f", mu_s) \ No newline at end of file
diff --git a/24/CH6/EX6.3/Example6_3_FBD.jpg b/24/CH6/EX6.3/Example6_3_FBD.jpg
new file mode 100755
index 000000000..1fd4a87ef
--- /dev/null
+++ b/24/CH6/EX6.3/Example6_3_FBD.jpg
Binary files differ
diff --git a/24/CH6/EX6.3/Example6_3_result.txt b/24/CH6/EX6.3/Example6_3_result.txt
new file mode 100755
index 000000000..e554cc1db
--- /dev/null
+++ b/24/CH6/EX6.3/Example6_3_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 6-3**
+The value of coefficient of static friction is 0.230868 \ No newline at end of file
diff --git a/24/CH6/EX6.4/Example6_4.sce b/24/CH6/EX6.4/Example6_4.sce
new file mode 100755
index 000000000..e735f844c
--- /dev/null
+++ b/24/CH6/EX6.4/Example6_4.sce
@@ -0,0 +1,12 @@
+//Given that
+v1 = 97 //in km/hr
+//Assuming
+A1 = 1
+//therefore
+A2 = 2
+
+//Sample Problem 6-4
+printf("**Sample Problem 6-4**\n")
+//the terminal velocity is inversly proportional to squre root of area
+v2 = v1 * sqrt(A1/A2)
+printf("The final velocity of cat will be %f km/hr", v2) \ No newline at end of file
diff --git a/24/CH6/EX6.4/Example6_4_result.txt b/24/CH6/EX6.4/Example6_4_result.txt
new file mode 100755
index 000000000..5d2fab278
--- /dev/null
+++ b/24/CH6/EX6.4/Example6_4_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 6-4**
+The final velocity of cat will be 68.589358 km/hr \ No newline at end of file
diff --git a/24/CH6/EX6.5/Example6_5.sce b/24/CH6/EX6.5/Example6_5.sce
new file mode 100755
index 000000000..cfabd9e14
--- /dev/null
+++ b/24/CH6/EX6.5/Example6_5.sce
@@ -0,0 +1,21 @@
+//Given that
+g = 9.8 //in m/s^2
+Radius = 1.5 * 10^-3 //in meter
+height = 1200 //in meter
+C_drag = 0.60
+density_water = 1000 //in kg/m^3
+density_air = 1.2 //in kg/m^3
+
+//Sample Problem 6-5a
+printf("**Sample Problem 6-5a**\n")
+//v_t = sqrt(2*F_g/(C*density*A))
+volume_drop = 4/3*%pi*Radius^3
+mass_drop = density_water *volume_drop
+Area_drop = %pi *Radius^2
+v_terminal = sqrt(2*mass_drop*g/(C_drag*density_air*Area_drop))
+printf("The terminal velocity will be %f m/s\n", v_terminal)
+
+//Sample Problem 6-5b
+printf("\n**Sample Problem 6-5b**\n")
+v_without_drag = sqrt(2 *g * height)
+printf("The velocity just before the impact if there were no drag force would be %f m/s", v_without_drag) \ No newline at end of file
diff --git a/24/CH6/EX6.5/Example6_5_result.txt b/24/CH6/EX6.5/Example6_5_result.txt
new file mode 100755
index 000000000..33c4be6f8
--- /dev/null
+++ b/24/CH6/EX6.5/Example6_5_result.txt
@@ -0,0 +1,5 @@
+**Sample Problem 6-5a**
+The terminal velocity will be 7.378648 m/s
+
+**Sample Problem 6-5b**
+The velocity just before the impact if there were no drag force would be 153.362316 m/s \ No newline at end of file
diff --git a/24/CH6/EX6.6/Example6_6.sce b/24/CH6/EX6.6/Example6_6.sce
new file mode 100755
index 000000000..19e8090be
--- /dev/null
+++ b/24/CH6/EX6.6/Example6_6.sce
@@ -0,0 +1,15 @@
+//Given that
+Radius_earth = 6.37 * 10^6
+h_alti = 520 * 10^3 //in meter
+velocity = 7.6 * 10^3 //in m/s converted from km/s
+mass = 79 //in kg
+
+//Sample Problem 6-6a
+printf("**Sample Problem 6-6a**\n")
+acce = velocity^2/(h_alti + Radius_earth)
+printf("The acceleration is equal to %f m/s^2\n", acce)
+
+//Sample Problem 6-5b
+printf("\n**Sample Problem 6-6b**\n")
+Force_total = mass * acce
+printf("The net force is equal ro %f N", Force_total) \ No newline at end of file
diff --git a/24/CH6/EX6.6/Example6_6_result.txt b/24/CH6/EX6.6/Example6_6_result.txt
new file mode 100755
index 000000000..71b29c760
--- /dev/null
+++ b/24/CH6/EX6.6/Example6_6_result.txt
@@ -0,0 +1,5 @@
+**Sample Problem 6-6a**
+The acceleration is equal to 8.383164 m/s^2
+
+**Sample Problem 6-6b**
+The net force is equal ro 662.269956 N
diff --git a/24/CH6/EX6.7/Example6_7.sce b/24/CH6/EX6.7/Example6_7.sce
new file mode 100755
index 000000000..c4e18284d
--- /dev/null
+++ b/24/CH6/EX6.7/Example6_7.sce
@@ -0,0 +1,9 @@
+//Given that
+g = 9.8 //in m/s^2
+Radius = 2.7 //in meter
+
+//Sample Problem 6-7
+printf("**Sample Problem 6-7**\n")
+//The velocity at highest point is equal to sqrt(gR)
+velocity_topmost = sqrt(g * Radius)
+printf("The velocity of ball at the topmost point would be %f m/s", velocity_topmost) \ No newline at end of file
diff --git a/24/CH6/EX6.7/Example6_7_result.txt b/24/CH6/EX6.7/Example6_7_result.txt
new file mode 100755
index 000000000..3d35a8046
--- /dev/null
+++ b/24/CH6/EX6.7/Example6_7_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 6-7**
+The velocity of ball at the topmost point would be 5.143928 m/s \ No newline at end of file
diff --git a/24/CH6/EX6.8/Example6_8.sce b/24/CH6/EX6.8/Example6_8.sce
new file mode 100755
index 000000000..3064fe0f0
--- /dev/null
+++ b/24/CH6/EX6.8/Example6_8.sce
@@ -0,0 +1,19 @@
+//Given that
+g = 9.8 //in m/s^2
+R = 2.1 //in m
+mu_s = 0.40
+
+//Sample Problem 6-8a
+printf("**Sample Problem 6-8a**\n")
+//N = mv^2/R
+//mg = mu_s * N
+//mg = mu_s * m*v^2/R
+//v = sqrt(g*R/mu_s)
+v_min = sqrt(g*R/mu_s)
+printf("The minimum spped of the cylender should be %f m/s\n", v_min)
+
+//Sample Problem 6-8b
+printf("\n**Sample Problem 6-8b**\n")
+mass = 49 //in kg
+c_force = mass * v_min^2/R
+printf("The Centripetal force on the rider would be %f N", c_force) \ No newline at end of file
diff --git a/24/CH6/EX6.8/Example6_8_FBD.jpg b/24/CH6/EX6.8/Example6_8_FBD.jpg
new file mode 100755
index 000000000..d4f831dbd
--- /dev/null
+++ b/24/CH6/EX6.8/Example6_8_FBD.jpg
Binary files differ
diff --git a/24/CH6/EX6.8/Example6_8_result.txt b/24/CH6/EX6.8/Example6_8_result.txt
new file mode 100755
index 000000000..f6936cec4
--- /dev/null
+++ b/24/CH6/EX6.8/Example6_8_result.txt
@@ -0,0 +1,5 @@
+**Sample Problem 6-8a**
+The minimum spped of the cylender should be 7.172866 m/s
+
+**Sample Problem 6-8b**
+The Centripetal force on the rider would be 1200.500000 N \ No newline at end of file
diff --git a/24/CH6/EX6.9/Example6_9.sce b/24/CH6/EX6.9/Example6_9.sce
new file mode 100755
index 000000000..7a8992679
--- /dev/null
+++ b/24/CH6/EX6.9/Example6_9.sce
@@ -0,0 +1,12 @@
+//Given that
+g = 9.8 //in m/s^2
+mass = 1600 //in kg
+v_cons = 20 //in m/s
+R_track = 190 //in meter
+
+//Sample Problem 6-9
+printf("**Sample Problem 6-9**\n")
+N = mass * g
+f_s = mass * v_cons^2 /R_track
+mu_s = f_s/N
+printf("The coefficient of static friction for the given surface is %f", mu_s) \ No newline at end of file
diff --git a/24/CH6/EX6.9/Example6_9_FBD.jpg b/24/CH6/EX6.9/Example6_9_FBD.jpg
new file mode 100755
index 000000000..cb3fd25d4
--- /dev/null
+++ b/24/CH6/EX6.9/Example6_9_FBD.jpg
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diff --git a/24/CH6/EX6.9/Example6_9_result.txt b/24/CH6/EX6.9/Example6_9_result.txt
new file mode 100755
index 000000000..666153d0a
--- /dev/null
+++ b/24/CH6/EX6.9/Example6_9_result.txt
@@ -0,0 +1,2 @@
+**Sample Problem 6-9**
+The coefficient of static friction for the given surface is 0.214823 \ No newline at end of file