Concept #1

As a pendulum oscillations, it has a speed of 15 cm/s at an angle of 7o measured from the vertical. If the length of the pendulum is 20 cm, what is the maximum angle of the pendulum from the vertical?

A pendulum oscillates with a frequency of 50 Hz. If the maximum angle of the pendulum is 30o from the vertical, what is the maximum speed of the pendulum?

A simple pendulum has a period of T on the surface of the Earth. If the same pendulum were brought to the surface of a planet where the acceleration due to gravity is 4 times greater than that on the Earth, its period would
A. decrease by a factor of 16
B. decrease by a factor of 2
C. remain the same
D. decrease by a factor of 4
E. increase by a factor of 16
F. increase by a factor of 4
G. increase by a factor of 2

A simple pendulum has a period of 2.74 s on the surface of the Earth where the acceleration of gravity is 9.8 m/s2 . What would be its period on the Moon, where the acceleration of gravity is 1.67 m/s2 ?
A. 9.08419
B. 8.4059
C. 3.51255
D. 5.88655
E. 2.97961
F. 5.30517
G. 6.63751
H. 3.29453
I. 6.51639
J. 2.83427

A clock is constructed out of a pendulum with a period of 2 s on Earth. If this pendulum were taken to the moon, where the gravity is about 1/6 that of Earth, what would the period be?

The bird perched on the swing in the figure has a mass of 44 g, and the base of the swing has a mass of 136.4 g. Assume that the swing and the bird are originally at rest and that the bird then takes off horizontally at 2.74 m/s. The acceleration of gravity is 9.8 m/s2. If the base can swing freely (without friction) around the pivot, how high will the base of the swing rise above its original level?
1. 0.0267539
2. 0.0357149
3. 0.0398586
4. 0.025
5. 0.0312608
6. 0.0442463
7. 0.0282227
8. 0.0329453
9. 0.0410105
10. 0.0352356