Apendulum is formed by taking a 2.0 kg mass and hanging it from the ceiling using a steel wire with a diameter of 1.1 mm. it is observed that the wire stretches by 0.05 mm under the weight of the mass. what is the period of oscillation of the pendulum?

1.39 s

Explanation:

We can solve this problem with the following equations:

(1)

(2)

Where:

is the length the steel wire streches (taking into account 1mm=0.001 m)

is the length of the steel wire before being streched

is the force due gravity (the weight) acting on the pendulum with mass

is the transversal area of the wire

is the Young modulus for steel

is the period of the pendulum

is the acceleration due gravity

Knowing this, let's begin by finding :

(3)

Where is the diameter of the wire

(4)

(5)

Knowing this area we can isolate from (1):

(6)

And substitute in (2):

(7)

(8)

Finally:

the body's situation won't change the forces are equal opposit and on the same body

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