To solve this problem it is necessary to use the conservation equations of both kinetic, rotational and potential energy.
By definition we know that

Where,
KE =Kinetic Energy
KR = Rotational Kinetic Energy
PE = Potential Energy
In this way

Where,
m = mass
v= Velocity
I = Moment of Inertia
Angular velocity
g = Gravity
h = Height
We know as well that
for velocity (v) and Radius (r)
Therefore replacing we have

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Therefore the height must be 0.3915 for the yo-yo fall has a linear speed of 0.75m/s
Answer:
The length of the specimen after the load is released is 11.67 cm
Explanation:
Given;
yield stress, Y = 350 MPa
ultimate tensile stress, T = 300 MPa
Elongation factor, e = yield stress, Y / ultimate tensile stress, T
Elongation factor, e = 350 Mpa / 300 Mpa
Elongation factor, e = 1.1667
New length of the specimen = 1.1667 x 10 cm = 11.67 cm
Therefore, when the load is released from 10 cm long tensile specimen, the length of the specimen becomes 11.67 cm
Answer:
The angular frequency
of the oscillation is 
Explanation:
For this particular situation, the angular frequency of the system is given by

Answer:
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