1- A pendulum set up in the stairwell of a 12 story building consists of a heavy
ID: 1405844 • Letter: 1
Question
1- A pendulum set up in the stairwell of a 12 story building consists of a heavy weight suspended on a 30.5 m wire. If g = 9.81 m/s2, what is the period of oscillation?
..... s
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2- The position of a particle in cm is given by x = (3) cos 8t, where t is in seconds.
(a) What is the frequency?
...... Hz
(b) What is the period?
...... s
(c) What is the amplitude of the particle's motion?
...... cm
(d) What is the first time after t = 0 that the particle is at its equilibrium position?
....... s
In what direction is it moving at that time?
.... in the positive direction
.... in the negative direction
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3- A 1.5 kg object oscillates with simple harmonic motion on a spring of force constant k = 480 N/m. Its maximum speed is 56.0 cm/s.
(a) What is the total mechanical energy?
...... J
(b) What is the amplitude of the oscillation?
....... cm
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4- An object attached to a spring has simple harmonic motion with an amplitude of 3.00 cm. When the object is 1.73 cm from the equilibrium position, what fraction of its total energy is potential energy?
.. three-quarters
.. one-quarter
.. one-half
.. two-thirds
.. one-third
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5- Find the resonance frequency for each of the three systems shown below.
m = 11 kg
k = 440.0 N/m
........ Hz
m = 4 kg
k = 728.0 N/m
....... Hz
m = 4.3 kg
L = 2.2 m
...... Hz
Explanation / Answer
1)
Here ,
length of pendulum , L = 30.5 m
g = 9.81 s
as the time period of a pendulum is given as
T =2pi*sqrt(L/g)
T = 2pi*sqrt(30.5/9.81)
T = 11.1 s
the time period of oscillation is 11.1 s
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