Question

Six pendulums of mass mand length Las shown are released from rest at the same angle theta from vertical. Rank the pendulums according to the numberof complete cycles of motion each pendulum goes through perminute.

A. L= 1m
m=2kg
B. L= 4m
m=1 kg
C. L= 2 m
m= 2 kg
D. L= 1 m
m= 4 kg
E. L= 2 m
m = 4 kg
F. L= 4m
m = 4kg

Answer 1

The number of complete cycles of motion a pendulum goes through per minute depends on its length and mass. By comparing the lengths and masses of the given pendulums, we can calculate their periods and rank them accordingly.

Step-by-step explanation:

The number of complete cycles of motion a pendulum goes through in one minute is determined by its period. The period of a pendulum is given by the formula:

T = 2π(sqrt(L/g))

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. By comparing the lengths and masses of the given pendulums, we can calculate the periods and rank them accordingly:

1. Pendulum F: L=4m, m=4kg
2. Pendulum E: L=2m, m=4kg
3. Pendulum C: L=2m, m=2kg
4. Pendulum B: L=4m, m=1kg
5. Pendulum A: L=1m, m=2kg
6. Pendulum D: L=1m, m=4kg