Question

Two pendulums have identical periods. One has a slightly larger amplitude than the other, but both swing through small angles compared to vertical. Which of the following must be true of the pendulum that has the larger amplitude?
Check all that apply.
a) It has more mass than the other one.
b) It is longer than the other one.
c) It moves faster at the lowest point in its swing than the other one.
d) It has slightly more energy than the other one.

Answer 1

Answer:

c) It moves faster at the lowest point in its swing than the other one.

d) It has slightly more energy than the other one.

Explanation:

As we know that the time period of pendulum is given as

$T = 2\pi \sqrt{\frac{L}{g}}$

so we have time period same so here length L will be same for two pendulums

Now one of the pendulum have larger amplitude

So here one of the pendulum will have more energy stored with it and hence it will have more kinetic energy at its mean position

So we will have

c) It moves faster at the lowest point in its swing than the other one.

d) It has slightly more energy than the other one.