1.) A mass on a spring vibrates with the frequency 7 Hz. What is the period of v

Question

1.) A mass on a spring vibrates with the frequency 7 Hz. What is the period of vibrations of this mass? How many vibrations per second does this mass perform? 2.) A mass on a spring is vibrating with the frequency 5 Hz and amplitude 1 cm. We stopped this motion and started the new one, with amplitude 2 cm. How does the frequency of vibrations change? 3.) Let us imagine a grandfather pendulum clock that keeps perfect time on Earth. Discuss what would happen to the period of its vibrations if this clock were brought to the Moon. Hint: the gravity of the Moon is weaker than the gravity of Earth. 4.) Consider two springs, A and B. The spring constant of A is twice as big as the spring constant of B. They are loaded with identical masses and set into vibration. What is the ratio of the periods of these two springs? Which spring demonstrates a bigger frequency of oscillations? 5.) Two pendulums, A and B, have threads that are the same length but the mass of bob A is twice as large as the mass of the bob B. Which pendulum demonstrates a higher frequency of vibrations?

Explanation / Answer

time period = 1/frequency

time period = 1/7 = 0.1428 s

1 vibration takes = 0.1428 s

so im 1 sec it does 7 vibrations = frequency

2)

for a mass spring syste m the frequecy and time period are independent of the amplitude so it remains the same

3)

for pendulum

time period = 2pi x sqrt(L/g)

on moon g' = g/6

so new T = 2pi x sqrt (6L/g)

thus time period increases on moon

4)

frequency is directly proportioanl to sqrt(k = spring constant)

and time period is inversely propotional to it

so frquency is greater for the spring with greater k and it has lesser time period

5)

for pendulum frequency = 1/time period shown above

so frequency proportional to sqrt(g/L)

so its independent of mass and both have same frequency

pls rate!

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