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Lana71 [14]
2 years ago
10

Question 8

Physics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

It has a mass of 40 kg.

Explanation:

Because Force = mass x Acceleration or F = m a, we could say that the mass is force/acceleration which in your case is 2,400/60 which equals 40 kg.

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The constant force applied to the rope is 7.72 N.

<h3>Net torque on the drum</h3>

The net torque on the drum is calculated as follows;

Fr - F_fr = I \alpha

Linear speed, v = ωr = 23 x 0.4 = 9.2 m/s

distance traveled = 14 m

<h3>Tangential acceleration</h3>

The acceleration of the drum is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

v² = 2as

a = v²/2s

a = (9.2)/2(14)

a = 0.329 m/s²

<h3>Angular acceleration of the drum</h3>

\alpha = \frac{a}{r} = \frac{0.329}{0.4} = 0.82  \ rad/s^2

<h3>Applied force</h3>

The constant force applied to the rope is calculated as follows;

Fr - F_fr = I \alpha\\\\Fr = I \alpha + F_fr\\\\F = \frac{ I \alpha + F_fr}{r} \\\\F = \frac{2.3(0.82) \ + \ 3(0.4)}{0.4} \\\\F = 7.72 \ N

Learn more about net torque here: brainly.com/question/15262027

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