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"source": [
"# Chapter 01: Vectors and their use"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex1.1:pg-25"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Resultant R= 40.31 cm\n",
"\n",
"Theta= 120.0 degrees\n"
]
}
],
"source": [
" #Example 1_1\n",
"import math \n",
" #To add the given Displacements Graphically\n",
"d1=25 #units in cm\n",
"d2=10 #units in cm\n",
"d3=30 #units in cm\n",
"R=math.sqrt(d1**2+d2**2+d3**2) #units in cm\n",
"theta1=30 #units in degrees\n",
"theta2=90 #units in degrees\n",
"theta3=120 #units in degrees\n",
"theta=360-(theta1+theta2+theta3) #units in degrees\n",
"print \"The Resultant R=\",round(R,2),\" cm\\n\"\n",
"print \"Theta=\",round(theta),\" degrees\"\n",
" #In text book the answer is printed wrong as R=49cm and theta=82 degrees but the correct answer is R=40.31cm and theta=120 degrees\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex1.2:pg-25"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Resultant R= 6.72 Meters\n",
"\n",
"The Angle theta= 170.0 degrees\n"
]
}
],
"source": [
" #Example 1_2\n",
"\n",
"import math\n",
" \n",
" # To add the given vector displacements\n",
"a=1 #units in meters\n",
"b=3 #units in meters\n",
"c=5 #units in meters\n",
"d=6 #units in meters\n",
"theta1=90 #units in degrees\n",
"Rx_a=a*math.sin(theta1*math.pi/180) #units in meters\n",
"Rx_b=round(b*math.cos(theta1*math.pi/180)) #units in meters\n",
"theta2=37 #units in degrees\n",
"Rx_c=-round(c*math.cos(theta2*math.pi/180)) #units in meters\n",
"theta3=53 #units in degrees\n",
"Rx_d=-d*math.cos(theta3*math.pi/180)\n",
"Ry_a=round(a*math.cos(theta1*math.pi/180)) #units in meters\n",
"Ry_b=round(c*math.sin(theta2*math.pi/180)) #units in meters\n",
"Ry_c=round(c*math.sin(theta2*math.pi/180)) #units in meters\n",
"Ry_d=-(d*math.sin(theta3*math.pi/180)) #units in meters\n",
"Rx=Rx_a+Rx_b+Rx_c+Rx_d #units in meters\n",
"Ry=Ry_a+Ry_b+Ry_c+Ry_d #units in meters\n",
"R=sqrt(Rx**2+Ry**2) #units in meters\n",
"phi=round(math.atan(Ry/-(Rx))*180/math.pi) #units in degrees\n",
"phi=180-phi #units in degrees\n",
"print \"The Resultant R=\",round(R,2),\" Meters\\n\"\n",
"print \"The Angle theta=\",round(phi),\" degrees\"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex1.3:pg-26"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Resultant R= 15.5 Meters\n",
"\n",
"Angle Theta= 19.0 Degrees\n"
]
}
],
"source": [
" #Example 1_3\n",
"\n",
"import math\n",
" #To subtract vector B from Vector A\n",
"Ax=8.7 #units in meters\n",
"Ay=5 #units in meters\n",
"Bx=-6 #units in meters\n",
"By=0 #units in meters\n",
"Rx=Ax-Bx #units in meters\n",
"Ry=Ay-By #units in meters\n",
"R=sqrt(Rx**2+Ry**2) #units in meters\n",
"theta=round(math.atan(Ry/(Rx))*180/math.pi) #units in degrees\n",
"print \"Resultant R=\",round(R,1),\" Meters\\n\"\n",
"print \"Angle Theta=\",round(theta),\" Degrees\"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex1.4:pg-30"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Volume V= 5.65e-10 Meter**3\n"
]
}
],
"source": [
" #Example 1_4\n",
"import math\n",
"\n",
" #To calculate the Volume\n",
"r=3*10**-5 #units in meters\n",
"L=0.20 #units in meters\n",
"V=math.pi*r**2*L #Units in meter**3\n",
"print \"Volume V=\",round(V,12),\"Meter**3\"\n"
]
}
],
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"mimetype": "text/x-python",
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"nbconvert_exporter": "python",
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