initial commit / add all books

6 files changed, 100 insertions, 0 deletions

diff --git a/3204/CH24/EX24.1/Ex24_1.sce b/3204/CH24/EX24.1/Ex24_1.sce
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index 000000000..8d0d7ed9e
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+++ b/3204/CH24/EX24.1/Ex24_1.sce
@@ -0,0 +1,17 @@
+// Initilization of variables

+f=1/6 // oscillations/second

+x=8 // cm // distance from the mean position

+// Calculations

+omega=2*%pi*f

+// Amplitude is given by eq'n 

+r=sqrt((25*x^2)/16) // cm

+// Maximum acceleration is given as,

+a_max=(%pi/3)^2*10 // cm/s^2

+// Velocity when it is at a dist of 5 cm (assume s=5 cm) is given by

+s=5 // cm

+v=omega*sqrt(r^2-s^2) // cm/s

+// Results

+clc

+printf('(a) The amplitude of oscillation is %f cm \n',r)

+printf('(b) The maximum acceleration is %f cm/s^2 \n',a_max)

+printf('(c) The velocity of the particle at 5 cm from mean position  is %f cm/s \n',v)

diff --git a/3204/CH24/EX24.10/Ex24_10.sce b/3204/CH24/EX24.10/Ex24_10.sce
new file mode 100644
index 000000000..8d659d749
--- /dev/null
+++ b/3204/CH24/EX24.10/Ex24_10.sce
@@ -0,0 +1,14 @@
+// Initilization of variables

+l=1 // m // length of the simple pendulum

+g=9.81 // m/s^2

+// Calculations

+// Let t_s be the time period when the elevator is stationary

+t_s=2*%pi*sqrt(l/g) /// seconds

+// Let t_u be the time period when the elevator moves upwards. Then from eqn 1

+t_u=2*%pi*sqrt((l)/(g+(g/10))) // seconds

+// Let t_d be the time period when the elevator moves downwards.

+t_d=2*%pi*sqrt(l/(g-(g/10))) // seconds

+// Results

+clc

+printf('The time period of oscillation of the pendulum for upward acc of the elevator is %f seconds \n',t_u)

+printf('The time period of oscillation of the pendulum for downward acc of the elevator is %f seconds \n',t_d)

diff --git a/3204/CH24/EX24.11/Ex24_11.sce b/3204/CH24/EX24.11/Ex24_11.sce
new file mode 100644
index 000000000..10b50fe6a
--- /dev/null
+++ b/3204/CH24/EX24.11/Ex24_11.sce
@@ -0,0 +1,14 @@
+// Initilization of variables

+t=1 // second // time period of the simple pendulum

+g=9.81 // m/s^2

+// Calculations

+// Length of pendulum is given as,

+l=(t/(2*%pi)^2)*g // m

+// Let t_u be the time period when the elevator moves upwards. Then the time period is given as,

+t_u=2*%pi*sqrt((l)/(g+(g/10))) // seconds

+// Let t_d be the time period when the elevator moves downwards.

+t_d=2*%pi*sqrt(l/(g-(g/10))) // seconds

+// Results

+clc

+printf('The time period of oscillation of the pendulum for upward acc of the elevator is %f seconds \n',t_u)

+printf('The time period of oscillation of the pendulum for downward acc of the elevator is %f seconds \n',t_d)

diff --git a/3204/CH24/EX24.12/Ex24_12.sce b/3204/CH24/EX24.12/Ex24_12.sce
new file mode 100644
index 000000000..255e2f320
--- /dev/null
+++ b/3204/CH24/EX24.12/Ex24_12.sce
@@ -0,0 +1,16 @@
+// Initilization of variables

+m=15 // kg // mass of the disc

+D=0.3 // m // diameter of the disc

+R=0.15 // m // radius

+l=1 // m // length of the shaft

+d=0.01 // m // diameter of the shaft

+G=30*10^9 // N-m^2 // modulus of rigidity

+// Calculations

+// M.I of the disc about the axis of rotation is given as,

+I=(m*R^2)/2 // kg-m^2

+// Stiffness of the shaft

+k_t=(%pi*d^4*G)/(32*l) // N-m/radian

+t=2*%pi*sqrt(I/k_t) // seconds

+// Results

+clc

+printf('The time period of oscillations of the disc is %f seconds \n',t)

diff --git a/3204/CH24/EX24.2/Ex24_2.sce b/3204/CH24/EX24.2/Ex24_2.sce
new file mode 100644
index 000000000..8c33c4385
--- /dev/null
+++ b/3204/CH24/EX24.2/Ex24_2.sce
@@ -0,0 +1,22 @@
+// Initilization of variables

+x_1=0.1 // m // assume the distance of the particle from mean position as (x_1 & x_2)

+x_2=0.2// m 

+// assume velocities as v_1 & v_2

+v_1=1.2 // m/s

+v_2=0.8 // m/s

+// Calculations

+// The amplitude of oscillations is given by dividing eq'n 1 by 2 as,

+r=sqrt(0.32/5) // m

+omega=v_1/(sqrt(r^2-x_1^2)) // radians/second

+t=(2*%pi)/omega // seconds

+v_max=r*omega // m/s

+// let the max acceleration be a which is given as,

+a=r*omega^2 // m/s^2 

+// Results

+clc

+printf('(a) The amplitude of oscillations is %f m \n',r)

+printf('(b) The time period of oscillations is %f seconds \n',t)

+printf('(c) The maximum velocity is %f m/s \n',v_max)

+printf('(d) The maximum acceleration is %f m/s^2 \n',a) // the value of max acc is incorrect in the textbook

+// NOTE: the value of t is incorrect in the text book

+// The values may differ slightly due to decimal point accuracy

diff --git a/3204/CH24/EX24.5/Ex24_5.sce b/3204/CH24/EX24.5/Ex24_5.sce
new file mode 100644
index 000000000..308fd2173
--- /dev/null
+++ b/3204/CH24/EX24.5/Ex24_5.sce
@@ -0,0 +1,17 @@
+// Initilization of variabes

+W=50 // N // weight

+x_0=0.075 // m // amplitude

+f=1 // oscillation/sec // frequency

+g=9.81 

+// Calculations

+omega=2*%pi*f

+K=(((2*%pi)^2*W)/g)*(10^-2) // N/cm

+// let the total extension of the string be delta which is given as,

+delta=(W/K)+(x_0*10^2) // cm

+T=K*delta // N // Max Tension

+v=omega*x_0 //m/s // max velocity

+// Results

+clc

+printf('(a) The stiffness of the spring is %f N/cm \n',K)

+printf('(b) The maximum Tension in the spring is %f N \n',T)

+printf('(c) The maximum velocity is %f m/s \n',v)