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Use the following information to answer the next 2 questions:
A 25.0-kg child in Red Deer pumps herself on a swing when she kicks upward on the downswing, thus changing the distance from the pivot point to her centre of gravity from 2.40 m to 2.28 m.
1) The resonant frequency of her swing before the kick is: ___ Hz.
2) The resonant frequency of her swing after the kick is: ___ Hz.
In the statements listed below, fill in the blanks with the best answer listed ont the bottom. Note that some answers may be used more than once!
3) Engineers build energy ________ systems into buildings so that an earthquake will not destroy them easily.
4) The periodic push that a child exerts on the swing must match the ________ frequency of the swing.
5) Compared to audible sound, the frequency of earthquake waves are generally very ________.
6) Every oscillating system has a ________ frequency, which is determined by the physical properties of the object.
1.forced
2.resonant
3.high
4.low
5.damping
Use 9.81m/s2 for gravity if needed!
1) The magnitude of the restoring force that acts on a 1.0-kg pendulum when it is displaced 2.0° from equilibrium is ___ N.
2) The magnitude of the restoring force that acts on a 1.0-kg pendulum when it is displaced 10.0° from equilibrium is ___ N.
3) On earth the period of a 1.50-m pendulum is ___s.
4) On the hypothetical planet Xeon, a pendulum with a length of 95.0 cm swings with a frequency of 1.50 Hz. The acceleration due to gravity on Xeon is ___ m/s2.
5) A pendulum is swinging back and forth:
Which of the following factors affect the period of the pendulum:
I. length
II. mass
III. angle of release
IV. accleration due to gravity
A- I only
B- I and II
C- III and IV
D- I and IV
It is required to project a body from a point on level ground in such a way
as to clear a thin vertical barrier of height h placed at a distance a from the
point of projection. Show that the body will just skim the top of the barrier
if
ga2
2u
2
tan2 α − a tan α +
ga2
2u
2
+ h
= 0
where u is the speed of projection and α is the angle of projection above the
horizontal
The cord runs through a pulley (a small wheel where the cord runs freely)
a) Calculate the vehicle acceleration
b) Calculate the clamping force in the card
