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Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.
Find the period T of the right pendulum for small displacements in s.

Sagot :

Lanuel

The period (T) of the right pendulum for small displacements in s is equal to 1.49 seconds.

How to calculate the period (T).

Mathematically, the time taken by this pendulum to undergo a small displacement is given by this formula:

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

Where:

  • L is the length.
  • g is the acceleration due to gravity.

Scientific data:

Acceleration due to gravity (g) = 9.8 m/s².

Assuming a randomized variable for the length of the rope to be 1.2 meter. Also, we know that the right pendulum has a radius of 1/2L.

1/2L = L/2

L/2 = 1.1/2

L/2 = 0.55 meter.

Substituting the parameters into the formula, we have;

[tex]T=2\times 3.142 \sqrt{\frac{0.55}{9.8} }\\\\T=6.284 \times \sqrt{0.0561} \\\\T=6.284 \times 0.2369[/tex]

T = 1.49 seconds.

Read more on a pendulum here: https://brainly.com/question/20070798

View image Lanuel
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