Two children ride side-by-side on a carousel. Their paths are shown in the image below.
1 answer:
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Complete Question
The complete question is shown on the uploaded image
Answer:
The tension on the shank is
Explanation:
From the question we are told that
The strain on the strain on the head is
The contact area is
Looking at the first diagram
At 600 MPa of stress
The strain is
At 450 MPa of stress
The strain is
To find the stress at we use the interpolation method
Substituting values
Generally the force on each head is mathematically represented as
Substituting values
Now the tension on the bolt shank is as a result of the force on the 6 head which is mathematically evaluated as
Answer:
The momentum of the particle at the end of the 0.13 s time interval is 7.12 kg m/s
Explanation:
The momentum of the particle is related to force by the following equation:
Δp = F · Δt
Where:
Δp = change in momentum = final momentum - initial momentum
F = constant force.
Δt = time interval.
Let´s calculate the x-component of the momentum after the 0.13 s:
final momentum - 8 kg m/s = -7 N · 0.13 s
final momentum = -7 kg m/s² · 0.13 s + 8 kg m/s
final momentum = 7.09 kg m/s
Now let´s calculate the y-component of the momentum vector after the 0.13 s. Since the particle wasn´t moving in the y-direction, the initial momentum in this direction is zero:
final momentum = 5 kg m/s² · 0.13 s
final momentum = 0.65 kg m/s
Then, the mometum vector will be as follows:
p = (7.09 kg m/s, 0.65 kg m/s)
The magnitude of this vector is calculated as follows:
The momentum of the particle at the end of the 0.13 s time interval is 7.12 kg m/s