The diagram below shows the position-time graph for a mass that is oscil- lating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle. Check page one of the lab for a similar graph that might be helpful. a. Draw the forces acting on the mass at each of those positions. Make sure the length of the force vectors give the relative magnitude of the forces at those positions. b. Draw the velocity vectors next to each block to show the direction and relative magnitude of the velocity at each position. C. Draw the acceleration vectors next to each block to show the direction and relative magnitude of the accel- eration at each position. A +X TIME-> What is the direction of the net force at position 1? What direc- tion is the acceleration? Give an explanation by comparing the size of the spring force and weight at position 1. d. 0 -X- -A Figure 10-9
The diagram below shows the position-time graph for a mass that is oscil- lating vertically on the end of a spring. The mass is shown superimposed on the graph at three different instants during a single cycle. Check page one of the lab for a similar graph that might be helpful. a. Draw the forces acting on the mass at each of those positions. Make sure the length of the force vectors give the relative magnitude of the forces at those positions. b. Draw the velocity vectors next to each block to show the direction and relative magnitude of the velocity at each position. C. Draw the acceleration vectors next to each block to show the direction and relative magnitude of the accel- eration at each position. A +X TIME-> What is the direction of the net force at position 1? What direc- tion is the acceleration? Give an explanation by comparing the size of the spring force and weight at position 1. d. 0 -X- -A Figure 10-9
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Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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Question
Transcribed Image Text:The diagram below shows the position-time graph for a mass that is oscil-
lating vertically on the end of a spring. The mass is shown superimposed on
the graph at three different instants during a single cycle. Check page one of
the lab for a similar graph that might be helpful.
a.
Draw the forces acting on the mass at each of those positions. Make
sure the length of the force vectors give the relative magnitude of the
forces at those positions.
b.
Draw the velocity vectors next to each block to show the direction and
relative magnitude of the velocity at each position.
C.
Draw the acceleration vectors next
to each block to show the direction
and relative magnitude of the accel-
eration at each position.
A
2
TIME-
What is the direction of the net
force at position 1? What direc-
tion is the acceleration? Give an
explanation by comparing the size
of the spring force and weight at
position 1.
d.
+X
0
-X
-A
Figure 10-9
1
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