This question is a long free-response question. Show your work for each part of the question. Cylindrical Object Incline Figure 1
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
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This question is a long free-response question. Show your
work for each part of the question.
Cylindrical
Object
Incline
Figure 1
A cylindrical object can roll down an incline, as shown in
Figure 1. The incline is slightly less than one meter in length.
A group of students wants to determine the acceleration of
the object while it is rolling down the incline. The students
have access to the following equipment.
· A stopwatch, which can measure time intervals up to 999 s
with a precision of 0.01 s
· A clock, which can measure time intervals up to 12 hours
with a precision of 1 min ute (60 s)
• A meterstick, which can measure lengths up to 1 m with a
precision of 1 mm
· A pair of calipers, which can measure lengths up to 10 cm
with a precision of 0.05 mm
(a) Assume the object moves with a constant acceleration as
it rolls down the incline. Write an equation that includes
acceleration and quantities that can be measured or obtained
from measurements by using the available equipment in the
list.
Ω
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 alt="(a) Assume the object moves with a constant acceleration as
it rolls down the incline. Write an equation that includes
acceleration and quantities that can be measured or obtained
from measurements by using the available equipment in the
list.
x2
X, 5
0/10000 Word Limit
(b) Design an experimental procedure the students could use
to measure the quantities required to determine the
acceleration of the object.
In the table below, list the quantities and associated symbols
that would be measured in your experiment and the
equipment used to measure them. Also list the equipment
that would be used to measure each quantity. You do not
need to fill in every row. If you need additional rows, you may
add them to the space just below the table.
Symbol
for
Quantity
Equipment
to be
for
Measured
Quantity
Measurement
Submit
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