A pendulum of lines 1.0 meter is set into motion. At point A on the pendulum, it knocks into a mass on a spring and sets mass in motion. Assuming both the pendulum and the spring have the same period, what is the ratio of mass/ spring constant?
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.
A pendulum of lines 1.0 meter is set into motion. At point A on the pendulum, it knocks into a mass on a spring and sets mass in motion. Assuming both the pendulum and the spring have the same period, what is the ratio of mass/ spring constant?
![### Problem Statement and Diagram Explanation
A pendulum of length 1.0 meter is set into motion. At point A on the pendulum, it knocks into a mass on a spring and sets the mass in motion. Assuming both the pendulum and the spring have the same period, what is the ratio of the mass to the spring constant?
#### Diagram Explanation:
- The image contains a pendulum with a length of 1.0 meter.
- The pendulum swings from left to right, passing through three points labeled A, B, and C, with point B being the lowest point of the swing.
- On the left side, there is a spring system with a block mass connected to it. This system has its equilibrium position marked.
#### Multiple Choice Question:
Below the diagram, there is a multiple-choice question with four options:
1. 1.92
2. 10.43
3. 0.10
4. 0.56
#### Additional Information:
- A timer indicates the remaining time to complete the question.
### Answer Options:
1.92
10.43
0.10
0.56
This information should aid students in understanding the interplay between pendulums and spring systems, particularly how their periods can be equated to find the desired ratio.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37797b3e-93b1-4c2c-98d5-fb6f936a5e8e%2F62b0bf47-37ad-4bbd-93fe-b7bef22dcb39%2Fuqf70mc_processed.jpeg&w=3840&q=75)
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