A 0.200-m uniform bar has a mass of 0.670 kg and is released from rest in the vertical position, as the drawing indicates. The spring is initially unstrained and has a spring constant of k = 29.8 N/m. Find the tangential speed with which end A strikes the horizontal surface. Number i 0.100 m Pivot (friction less) k Units 0.100 m 0.100 m ✪
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 0.200-m uniform bar has a mass of 0.670 kg and is released from rest in the vertical position, as the drawing indicates. The spring is initially unstrained and has a spring constant of \( k = 29.8 \, \text{N/m} \). Find the tangential speed with which end A strikes the horizontal surface.
**Diagram Explanation:**
The diagram shows a vertical bar O with a pivot at its base, marked as "Pivot (frictionless)," allowing it to rotate freely. Attached halfway up the bar is a spring that is relaxed when the bar is vertical. The upper part of the bar extends 0.100 m above the pivot, and there is a horizontal section of 0.100 m to end A.
Below the bar, there is an annotation for a downward arrow at A, indicating the bar's movement. The spring demonstrates coiling, showing its location when compressed.
**Inputs for Calculation:**
- Number: [Input Box]
- Units: [Drop-down Menu]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ab02d07-db20-487f-a6ee-c62eed71b999%2F44d85a23-7037-4a4e-a9a9-2d2900be0e1d%2Fk8etep_processed.jpeg&w=3840&q=75)
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