A. How did the change in the mass of the bob affect the resulting period and frequency?

B. How did the change in amplitude affect the resulting period and frequency?

C. How did the change in the length of the pendulum affect the period and frequency?

D. What would happen if you used very large amplitudes with the same length of string? Check your hypothesis by experiment. What amplitude(s) did you use? What were the results?

E. Hypothesize about how a magnet placed directly under the center point would affect an iron bob. As an optional activity, design an experiment to see if a magnetic will affect the period of a pendulum.

F. What was the percent error in conducting this experiment? What might be a few sources for error in your experimentaldata and calculations?

G. What would you expect of a pendulum at a high altitude, for example on a high mountaintop?
What would your pendulum do under weightless conditions?

A. Since the period of the pendulum does not depend on the mass of the bob, neither the period nor the frequency (i.e. inverse of period) change.
B. For small changes in amplitude, the period does not change (and neither does frequency; also look at the first equation). But if the change in amplitude is more than a certain amount, the period will be longer and the frequency will ...

... L = length of rod T = tension in rod m = mass of pendulum g = gravitational constant The equation of motion for the pendulum is derived using the ...

... its speed increases by a constant amount, called the acceleration due to gravity, denoted g. One way to calculate the value of g is to use a simple pendulum. ...

... solves for Lagrange's equation for the motion of the system of a double pendulum. ... The first equation of motion is: ... 2 gml sin θ1 & & && & && 1 2 g sin θ1 ...

... Angular speed w = sqrt (g/L). Period T = 2 pi/w = 2 pi sqrt (L/g) which is well known. ... Equation of motion for a simple pendulum was developed starting from ...

... 1) The following formula represents the period of a pendulum. T = 2π(l/g) (a) What would be the period of a 1.8 m long pendulum on the moon's surface? ...

... here: G = 6.67 x 10-11 N m2 k g-2. ... 2. Using your data, calculate the gravitational acceleration on each of ... the period of a 2 meter long simple pendulum on each ...

...G = 6.67 x 10-11 N m2 k g-2. ... Using your data, calculate the gravitational acceleration on each of the three ... the period of a 2 meter long simple pendulum on each ...

... where G is a constant called the Universal Gravitational Constant. ... (2 )Using your data, calculate the gravitational ... of a 2 meter long simple pendulum on each ...