HELLLPPPPPP :( L earning Goal: To learn the basic terminology and relationships
ID: 2024012 • Letter: H
Question
HELLLPPPPPP :(
Learning Goal: To learn the basic terminology and relationships among the main characteristics of simple harmonic motion.
Motion that repeats itself over and over is called periodic motion. There are many examples of periodic motion: the earth revolving around the sun, an elastic ball bouncing up and down, or a block attached to a spring oscillating back and forth.
The last example differs from the first two, in that it represents a special kind of periodic motion called simple harmonic motion. The conditions that lead to simple harmonic motion are as follows:
In this problem, we will introduce some of the basic quantities that describe oscillations and the relationships among them.
Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block.
The following questions refer to the figure (Intro 2 figure) that graphically depicts the oscillations of the block on the spring.
Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time.
remain at rest.move to the left until it reaches equilibrium and stop there.
move to the left until it reaches and stop there.
move to the left until it reaches and then begin to move to the right.
Explanation / Answer
Part A last choice, pulling block and letting go will start oscillations and since losses are small, the block will go back and forth with no decrease in maximum distance from equilibrium position. Part B last choice, they are reciprocals. Part C 10Hz since 1/0.1s = 10/s Part D 0.025s since 1/40/2 = 0.025s Don't have the figure so these are educated guesses Part E both these are extrema of the curve, one is point of greatest extension of spring, other is point of greatest compression of spring. Part F Answer would be the two points that are at the same height on the curve with the slope of the curve also the same. Part G you would subtract the time of these two points in part F(bigger time minus smaller time) Part H Half the period, so you would divide your answer in part G by two. Part I The distance covered is 4A. This is twice the distance traveled in part H. Note that the block is back where it started, so the displacement every period is zero. Part J Between moments K and N you would need to add up all of the distances in each direction. You can't subtract the position and N from the position at K in case there is a turn-around during the time interval. If you could include figure 2, you could get specific answers, but you could probably figure it out on your own with these hints.
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