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A 126 g ball is tied to a string. It is pulled to an angle of 8. 00 ∘ and released to swing as a pendulum. A student with a stopwatch finds that 17 oscillations take 12. 0 s

Answer :

The length of the string is 12.35 cm if the 126 g ball is tied to a string. It is pulled to an angle of 8.00 ∘ and released to swing as a pendulum.

What is simple harmonic motion?

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

As we know, the period T of a simple pendulum of length L is:

[tex]\rm T = 2\pi \sqrt {\dfrac{L}{g}}[/tex]

T = 12/17 = 0.705 sec

[tex]\rm 0.705 = 2\pi \sqrt {\dfrac{L}{9.81}}[/tex]

Squaring both sides and solving:

We get:

L = 0.123 m  or

L = 12.35 cm

Thus, the length of the string is 12.35 cm if the 126 g ball is tied to a string. It is pulled to an angle of 8.00 ∘ and released to swing as a pendulum.

Learn more about the simple harmonic motion here:

brainly.com/question/17315536

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