Calculate these equations; (Eq. 1), (Eq. 2), and (Eq. 3).   m1 (hanging mass) = 3kg m2 (cart) = 1 kg

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Chapter1: Units, Trigonometry. And Vectors
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Calculate these equations; (Eq. 1), (Eq. 2), and (Eq. 3).

 

m1 (hanging mass) = 3kg

m2 (cart) = 1 kg

M.
start
Left Rope Tension: 9.8 N
Right Rope Tension: 9.8 N
Time: 0.74 s
Displacement: 2.02 m
Transcribed Image Text:M. start Left Rope Tension: 9.8 N Right Rope Tension: 9.8 N Time: 0.74 s Displacement: 2.02 m
The weight of the hanging mass (the gravitational force pulling downward on the hanging mass)
is the accelerating force for the system:
Eq. 1
F = Whanging = m1g
Since this unbalanced force is also described by Newton's Second Law, you can find the
expected acceleration of the system, where M is the total mass of the system (cart plus hanging
mass):
Maexpected
Solving these together, the acceleration can be shown to be:
Σ
m19
Eq. 2
dexpected
M
M
You will be recording the displacement of the hanging mass (and therefore the cart as well
since they are attached to each other) and the time for each trial. The displacement and time
values can be used to calculate the experimental acceleration by solving this kinematic
equation for a:
Eq. 3
Ay =
at?
Transcribed Image Text:The weight of the hanging mass (the gravitational force pulling downward on the hanging mass) is the accelerating force for the system: Eq. 1 F = Whanging = m1g Since this unbalanced force is also described by Newton's Second Law, you can find the expected acceleration of the system, where M is the total mass of the system (cart plus hanging mass): Maexpected Solving these together, the acceleration can be shown to be: Σ m19 Eq. 2 dexpected M M You will be recording the displacement of the hanging mass (and therefore the cart as well since they are attached to each other) and the time for each trial. The displacement and time values can be used to calculate the experimental acceleration by solving this kinematic equation for a: Eq. 3 Ay = at?
Expert Solution
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Consider the free-body diagram of the cart and the hanging mass as follows.

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