Answer:
Explanation:
We are given that
Net force=F=
Mass,m=1.21 kg
Radius,r=0.723 m
We have to find the magnitude of its angular acceleration.
Moment of inertia ,
Substitute the values
Torque ,
A pulley system has an efficiency of 87.5 percent.
1 answer:
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Answer:
91.48N/m
Explanation:
In a spring-mass system undergoing a simple harmonic motion, the inverse of the frequency f, of oscillation is proportional to the square root of the mass m, and inversely proportional to the square root of the spring constant, k. This can be expressed mathematically as follows;
=
-----------(i)
From the question;
f = 3.26 Hz
m = 0.218kg
Substitute these values into equation (i) as follows;
=
[<em>Square both sides</em>]
()² = (
)²(
)
() =
²(
) [<em>Take </em>
<em> to be 3.142</em>]
() =
²(
)
() =
(
)
() = (
) [<em>Switch sides</em>]
() = (
) [<em>Re-arrange</em>]
() = (
) [<em>Cross-multiply</em>]
k = 8.608 x 10.6276
k = 91.48N/m
Therefore, the spring constant of the spring is 91.48N/m
Complete Question
The image for this question is shown on the first uploaded image
Answer:
Explanation:
From the question we are told that
The mass of the collar is
The original length is
The spring constant is
Generally the extension of the spring is mathematically evaluated as
Now with Pythagoras theorem we can obtain the length from A to B as
The extension of the spring at B is
According to the law of energy conservation
The energy stored in the spring at point A + the kinetic energy of the spring = The energy stored on the spring at B
So
substituting values
=>
