2) Billie releases the bob of his pendulum at an angle of lo. from the vertical.

Question

2) Billie releases the bob of his pendulum at an angle of lo. from the vertical. At the same time, Bobby releases the bob of his pendulum at an angle of 20 Degree from the vertical. The two pendulums have the same length. Does Billie?s bob reach the vertical position before, after, or at the same time as Bobby?s bob Explain. 2) Billie releases the bob of his pendulum at an angle of lo. from the vertical. At the same time, Bobby releases the bob of his pendulum at an angle of 20 Degree from the vertical. The two pendulums have the same length. Does Billie?s bob reach the vertical position before, after, or at the same time as Bobby?s bob Explain.

Explanation / Answer

Note that

T = 2pi sqrt(L/g)

Thus, for as long as the angles are small, the angle does not matter for the period.

If we treat 10 deg and 20 deg as small angle, then, they reach the vertical position at the same time. [MOST PROBABLE ANSWER]

But, of course, if we are very strict, then the Billie's bob (10 deg) will reach the bottom first, of course.

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