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Andrews
3 months ago
10

Derive an algebraic equation for the vertical force that the bench exerts on the book at the lowest point of the circular path i

n terms of the book’s mass mb, tangential speed vb, radius R of the path, and physical constants, as appropriate. Do not substitute any numerical values for variables or physical constants.

Physics
1 answer:
inna [3.1K]3 months ago
4 0
The algebraic formula is: Explanation: Given information: mb represents the mass of the book; vb indicates the tangential velocity; R refers to the radius of the trajectory. The question asks to derive an expression for the vertical force, Fv =? To do this, create a force diagram for this scenario, potentially as shown in the attached illustration. Three types of forces are present: two acting upward and one downward due to weight. Thus, the algebraic expression is established as follows: The variables are already defined above and g refers to gravity.
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What mass needs to be attached to a spring with a force constant of 7N/m in order to make a simple harmonic oscillator oscillate
Sav [3153]

Answer:

The mass will be 4.437 kg

Explanation:

The force constant k is given as 7 N/m

The time period of oscillation T is 5 sec

Thus, angular frequency \omega =\frac{2\pi }{T}=\frac{2\times 3.14}{5}=1.256rad/sec

It is known that angular frequency is computed via

\omega =\sqrt{\frac{k}{m}}

1.256 =\sqrt{\frac{7}{m}}

Squaring both sides gives us

1.577 =\frac{7}{m}

The mass equals 4.437 kg

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Response:

C. vx

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Clarification:

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The projectile is subject to the force of gravity, directed downwards, leading to an increase in its velocity due to the rise in its y-component.

Meanwhile, the y-component of acceleration remains constant due to gravitational acceleration.

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8 0
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