PLEASE HELP!!

Overview

In this first assignment you will write a Python program that

computes the forces involved in using a claw hammer to try to

pull a nail out of a wooden board, as well as the mechanical

advantage of using the hammer. This mechanical statics

problem should seem familiar to you from either Introduction

to Engineering Analysis $($IEA$)$ or Mechanics I. However, unlike

in IEA, specifications for the hammer $($dimensions$,$ angles$)$ are

variable. Various input values will be provided to your program

when it is run by Submitty.

The geometry of the hammer system is shown below in Figure $1.$ The claw end of the hammer

is engaged at point B with the head of a nail that is embedded in a horizontal wooden board.

The hammer is held at an angle $$ from the board surface. The hammer contacts the wood at

point C $.$ To try to pull the nail out a distributed load is applied to the handle with an equivalent

point load of magnitude $P$ at point G$.$ This load is applied perpendicular to the handle $($and thus

at an angle $+90$ from the $+x$ axis$).$ Various dimensions $(a,d,h,L)$ are indicated.

Given specifications for force magnitude $P$

$[$Newtons$],$ angle $[$degrees$],$ and

dimensions a$,d,h,$ and $L[cm],$ your code

should compute the following quantities.

Px$,$ the x component of the force vector $P_{?}$

Py$,$ the y component of the force vector $P_{?}$

N $,$ the magnitude of the normal force of the

wood on the hammer at point $C$;

F$,$ the magnitude of the friction force of the

wood on the hammer at point C $($that

holds the hammer head in place when a

load $P$ is applied$)$;

$R,$ the magnitude of the resisting force of

the nail $($from the friction of the nail

against the wood it is embedded in$).$

$,$ the ratio of the resisting force to the

applied force, which is the mechanical

advantage.

Figure $1$: geometry of a hammer pulling

a nail

Assume angle $$ is restricted to the domain $0,90$ and all dimensions are positive.

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Model Notes

There will be four distinct models of the hammer system:

the geometric model $($given$)$;

the idealized free body diagram $($that you will draw$)$;

the mathematical model based on static equilibrium $($that you will derive$)$;

the computational model $($that you will write in Python$).$

While developing your models you may find that, depending on how you choose to derive the

mathematical model, you do not need all the information given in the geometric model.

By assuming static equilibrium it is implied that the nail is$,$ at best, on the verge of impending

motion. This problem only asks what the magnitude of the nail's resisting force $(R)$ is if the nail

remains rigidly fixed in place, and the ratio of that to the magnitude of the force we apply.

Deliverable$($s$)$

Submit a PDF named Last, First$\_$hw$01.$pdf showing your work to develop a free body

diagram and the equations needed to solve for the six indicated quantities.

Submit Python code in a file named hw$01.$ py that computes the six quantities $($Px$,$ Py$,$ N$,$ F$,$

$R,)$ indicated above as functions of the specification variables.

To obtain the specifications for the hammer to be analyzed you must include the following

statement in your code prior to using any of the indicated variables:

from specifications import P $,$ theta, $a,d,h,L$