Chapter 4 Practice E¶

Practice E Number 1¶

\begin{equation} \mu k = (Fk/Fn) \end{equation}

\begin{equation} \mu s = (Fs,max/Fn) \end{equation}

\begin{equation} Ff = \mu Fn \end{equation}

\begin{equation} \sum F = (ma) \end{equation}

\begin{equation} Fg = mag \end{equation}

import numpy
from numpy import cos
from numpy import sin
from numpy import tan
from numpy import radians
from numpy import degrees

25

print ("Problem 1")
print ("This program is intened for when you have the applied force, the incline, the mass, and the mu. You will be trying to find the acceleration. ")

import numpy 
from numpy import cos
from numpy import sin
from numpy import tan
from numpy import radians
from numpy import degrees 

mass = float(input("What's the mass?"))
F = float(input("What's the force?"))
d = float(input("What's the angle measure?"))
mu = float(input("What's the mu?"))

def sin(degrees):
    return(numpy.sin(numpy.radians(degrees)))
def cos(degrees):
    return(numpy.cos(numpy.radians(degrees)))

Fx = F*cos(d)
print (Fx)
Fy = F*sin(d)
print (Fy)
Fg = mass*9.81
print (Fg)
Fn = Fg-Fy
print (Fn)
Fk = mu*Fn
print (Fk)
ax = (Fx-Fk)/mass
print (ax)

Problem 1
This program is intened for when you have the applied force, the incline, the mass, and the mu. You will be trying to find the acceleration. 
What's the mass?35
What's the force?185
What's the angle measure?25
What's the mu?.27
167.666940602
78.184378422
343.35
265.165621578
71.5947178261
2.74492065074

ii = True
while ii == True:
    print ("Problem 2")
    print ("This program is intended for when you have the mass, the incline of a ramp, the incline that the item is being pulled up the ramp, the mu, and the applied force. You will be trying to find the acceleration. ")
    import numpy
    mass = float(input("What's the mass?"))
    F = float(input("What's the force?"))
    d = float(input("What's the angle measure?"))
    mu = float(input("What's the mu?"))
    incline = float(input("What is the incline?"))

    def sin(degrees):
        return(numpy.sin(numpy.radians(degrees)))
    def cos(degrees):
        return(numpy.cos(numpy.radians(degrees)))

    #Find the F,x and F,y
    Fx = F*cos(d)
    Fy = F*sin(d)

    #Find Force due to gravity
    Fg = mass*9.81

    #Find Fg,x and Fg,y
    Fgx = Fg*sin(incline)
    Fgy = Fg*cos(incline)

    #Find Fn
    Fn = Fgy-Fy

    #Find Fk
    Fk = mu*Fn

    #Find acceleration
    ax = (Fx-Fk-Fgx)/mass
    print(ax)

Problem 2
This program is intended for when you have the mass, the incline of a ramp, the incline that the item is being pulled up the ramp, the mu, and the applied force. You will be trying to find the acceleration. 
What's the mass?35
What's the force?185
What's the angle measure?25
What's the mu?.27
What is the incline?12
0.763187413749
Problem 2
This program is intended for when you have the mass, the incline of a ramp, the incline that the item is being pulled up the ramp, the mu, and the applied force. You will be trying to find the acceleration.

ii = True
while ii == True:
    print ("Problem 3, Part A")
    print ("This program is intended for when you have the mass, the incline of the ramp, and the acceleration.You will be trying to find the mu. ")
    import numpy
    mass = float(input("What's the mass?"))
    a = float(input("What's the acceleration?"))
    incline = float(input("What is the incline?"))

    def sin(degrees):
        return(numpy.sin(numpy.radians(degrees)))
    def cos(degrees):
        return(numpy.cos(numpy.radians(degrees)))
    
    #calculate Force
    MF = mass*a
    print (MF) 
    
    #calculate Fg 
    Fg = mass*9.81
    print (Fg)
    
    #calculate Fgy and Fgx
    Fgy = Fg*cos(incline)
    Fgx = Fg*sin(incline)
    print (Fgy)
    print (Fgx)
    
    #calculate Fn
    Fn = Fgy
    print (Fn) 
    
    #Calculate Fk
    Fk = Fgx-MF
    print (Fk)
    
    #Calculate mu
    mu = Fk/Fn
    print (mu)

Problem 3, Part A
This program is intended for when you have the mass, the incline of the ramp, and the acceleration.You will be trying to find the mu. 
What's the mass?75
What's the acceleration?3.6
What is the incline?25
270.0
735.75
666.815954312
310.941386076
666.815954312
40.9413860757
0.0613983300954
Problem 3, Part A
This program is intended for when you have the mass, the incline of the ramp, and the acceleration.You will be trying to find the mu.

ii = True
while ii == True:
    print ("Problem 3, Part B")
    print ("This program is intended for when you have the mass, the incline of the ramp, the incline, and the mu. You will be trying to find the acceleration. ")
    import numpy
    
    def sin(degrees):
        return(numpy.sin(numpy.radians(degrees)))
    def cos(degrees):
        return(numpy.cos(numpy.radians(degrees)))
    
    m = float(input("What's the mass?"))
    incline = float(input("What's the incline of the ramp?"))
    mu = float(input("What's the mu?"))
    
    #Caluclate Fgx
    Fgx = m*9.81*sin(incline)
    print (Fgx)
    
    #Calculate Fn (Fgy)
    Fn = m*9.81*cos(incline)
    print (Fn)
    
    #Calculate Fk
    Fk = mu*Fn
    print (Fk)
    
    #Calculate Fxnet
    Fxnet = Fgx-Fk
    print (Fxnet)
    
    #Calculate A
    A = Fxnet/m
    print (A)

Problem 3, Part B
This program is intended for when you have the mass, the incline of the ramp, the incline, and the mu. You will be trying to find the acceleration. 
What's the mass?75
What's the incline of the ramp?25
What's the mu?.061
What's the incline?25
310.941386076
666.815954312
40.675773213
270.265612863
3.60354150484
Problem 3, Part B
This program is intended for when you have the mass, the incline of the ramp, the incline, and the mu. You will be trying to find the acceleration.

ii = True
while ii == True:
    print ("Problem 4")
    print ("This is for when you have Fg, applied force, and incline. You will be calculating mu.")
        
    import numpy
    
    def sin(degrees):
        return(numpy.sin(numpy.radians(degrees)))
    def cos(degrees):
        return(numpy.cos(numpy.radians(degrees)))
    
    N = float(input("What's the newtons?"))
    F = float(input("What's the force?"))
    incline = float(input("What's the incline?"))
    
    #Calculate Mass
    mass = N*9.81
    print (mass)
    
    #Calculate Fx and Fy
    Fx = F*cos(incline)
    print (Fx)
    Fy = F*sin(incline)
    print (Fy)
    
    #Calculate Fk
    Fk = 347.287
    print (Fk)
    
    #Calculate Fg
    Fg = 325
    print (Fg)
    
    #Calculate Fn
    Fn = Fg-Fy
    print (Fn)
    
    #Calculate mu
    mu = Fk/Fn
    print (mu)

Problem 4
This is for when you have Fg, applied force, and incline. You will be calculating mu.
What's the newtons?325
What's the force?425
What's the incline?-35.2
3188.25
347.286581792
-244.983734372
347.287
325
569.983734372
0.609292825492
Problem 4
This is for when you have Fg, applied force, and incline. You will be calculating mu.