Item 3 The position of a mass oscillating on a spring is given by x = (5.0cm) cos [2πt/ (0.88s)]. For the steps and strategies involved in solving a similar problem, you may view the following Example 13-3 video: SOLUTION What is the position when 0.30 s F0.30% 1 7- x-Acos 2r *-0.071m-1cm T Angle (rad) Cosine 0 #16 GD-1 √3/2 z/3 #12 27/3 1/2 0 -1/2 3/4/2/2 58/6 T 2m -I 1 To. ▼ Part A ▼ What is the period of this motion? Express your answer in seconds. ΠΠ ΑΣΦ T= Submit Part B t= Submit Request Answer What is the first time the mass is at the position x=0? Express your answer in seconds. || ΑΣΦ Provide Feedback www Request Answer pa ? Seeg ? S S
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.
![Item 3
The position of a mass oscillating on a spring is given by
x = (5.0cm) cos [2πt/ (0.88s)].
For the steps and strategies involved in solving a similar problem, you may
view the following Example 13-3 video:
SOLUTION
What is the position when = 0.30 s
r_ 0.30s 1
7245 S
Acos (2x)
x-Acos
-Acos(28-1-400(-4-(0.10 m)
x=0.071m-7.1 cm
Angle (rad)
0
2/6
#13
/2
27/3
√√3/2
14-(2/2
5e/6
#
134
Cosine
2
1/2
0
-1/2
-√2/2
-√√3/2
-1
1
Part A
What is the period of this motion?
Express your answer in seconds.
Η ΑΣΦ
T =
Submit
▼ Part B
What is the first time the mass is at the position x = 0?
Express your answer in seconds.
t =
Submit
Request Answer
V ΑΣΦ
Provide Feedback
Request Answer
?
?
S
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52db8ee6-33d1-4aac-bbe4-ebc771de1e49%2F106fcc6a-6de7-4396-b714-2a5223160c6a%2Fnu877x_processed.jpeg&w=3840&q=75)
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can you explain the algebra of part b? I do not understand how to eliminate the cosine or where pi/2 is coming from, or how it eliminates anything.
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