Question

Suppose have the ability to vary the mass m of the bob and the length ? of the string. You decide to to conduct an experiment and realize you can also easily adjust the Amplitude A of the back and forth motion. Of course, just as any good experimentalist would, you are careful to vary one of these quantities at a time and measure the period of the pendulum, recording the data in the table below Mass (kg)Length (m)Amplitude (m) 0.05 0.05 0.05 0.05 0.05 0.05 0.07 0.10 Period (s) 2.00 2.00 2.00 2.80 3.45 4.00 2.00 2.00 4 3.2 Based on this data, decide which physical quantities affect the period and which do not. Explain 3.3An expression for the period of a simple pendulum with string length ? derived using calculus is T = 2π. Where g is the acceleration due to gravity. Use the data in the table to decide whether or not the pendulum in the experiment can be considered a simple pendulum. Explain your decision

Answer 1

we know time period of simple pendulum is given by,   $T = 2\pi\sqrt\l/g$

T is the time period,

l is the length of the pendulum

g is acceleration due to gravity

3.2) from the above table it is clear that Length of pendulum affect the period.

3.3) form given data in table, it is clear that it follows Time period relation of simple pendulum and

Time period is directly proportional to length of the pendulum. amplitude is max height of the

pendulum from where it is released. clearly it does not affect the time period of the pendulum.

Hence, given pendulum can be considered as simple pendulum.