Consider the two pendulums shown in the figure.The one on the left has a 2.0-kg mass attached to a 3.0-m long string,while the one on the right has two 1.0-kg masses that are separated by a 2.0-m long string and then hung from another 2.0-m string.Which pendulum will have a shorter period?
A)The one on the left.
B)The one on the right.
C)They will have the same period.
D)There is not enough information to determine the answer.

Question

Consider the two pendulums shown in the figure.The one on the left has a 2.0-kg mass attached to a 3.0-m long string,while the one on the right has two 1.0-kg masses that are separated by a 2.0-m long string and then hung from another 2.0-m string.Which pendulum will have a shorter period? 
A)The one on the left. 
B)The one on the right. 
C)They will have the same period. 
D)There is not enough information to determine the answer.

Quizplus · Accepted Answer

The period of a pendulum is given by the formula T=2π√(L/g), where L is the length of the string and g is the acceleration due to gravity. Since both pendulums are on Earth, g is the same for both. Therefore, we can compare their periods by comparing their lengths. The length of the pendulum on the left is 3.0 m, while the effective length of the pendulum on the right (measured from the point of suspension to the center of mass) is also 3.0 m. Therefore, both pendulums have the same length and will have the same period.

Consider the Two Pendulums Shown in the Figure