The axis shown in Fig 1-5 has the following constants vx=1vx=1 m/s. m=1m=1 kg r=500r=500 mm 12=1000l2=1000 mm 11=1200l1=1200 mm s2=10s2=10 mm vy=Ovy=0 m/s ax=Oax=0 m/s22 (a) Plot the angle of the pendulum for one full period of oscillation given O(0)=7t/120(0)=t/12 and 0'(0)=0
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.
![The axis shown in Fig 1-5 has the following
constants
vx=1vx=1 m/s.
m=1m=1 kg
r=500r=500 mm
12=1000l2=1000 mm
11=1200l1=1200 mm
s2=10s2=10 mm
vy=Ovy=0 m/s
ax=Oax=0 m/s22
(a) Plot the angle of the pendulum for one
full period of oscillation given
O(0)=t/120(0)=t/12 and 0'(0)=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ff4fa38-41e9-49bd-973c-85c7e735a976%2F9c0ccab4-d96a-4e94-8753-32dc67847ceb%2Fhp5jjcv_processed.jpeg&w=3840&q=75)
![Y.
Y
Moving Frame
Earth (assumed inertial)
XI
Fig. 1-5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ff4fa38-41e9-49bd-973c-85c7e735a976%2F9c0ccab4-d96a-4e94-8753-32dc67847ceb%2Fxd9t1is_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)