An m = 20.0 g object is held against the free end of a d, spring of constant k = 25.0 N/m that is compressed a L0000 distance x = 10.0 cm from its equilibrium length. Once released, the object slides di = 1.15 m across the tabletop and eventually lands d2 = 1.03 m from the edge of the table on the floor, as shown in the figure. Calculate the coefficient of friction µ between the table and the object. The sliding distance includes the compression of the spring, and the tabletop is h = 1.00 m above the floor level. d,
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.
![**Text Transcription:**
An \( m = 20.0 \, \text{g} \) object is held against the free end of a spring of constant \( k = 25.0 \, \text{N/m} \) that is compressed a distance \( x = 10.0 \, \text{cm} \) from its equilibrium length. Once released, the object slides \( d_1 = 1.15 \, \text{m} \) across the tabletop and eventually lands \( d_2 = 1.03 \, \text{m} \) from the edge of the table on the floor, as shown in the figure. Calculate the coefficient of friction \( \mu \) between the table and the object. The sliding distance includes the compression of the spring, and the tabletop is \( h = 1.00 \, \text{m} \) above the floor level.
\[
\mu = \hspace{4cm}
\]
**Diagram Explanation:**
- The diagram shows a spring on a tabletop with a block next to it.
- The spring is compressed against the block.
- The block slides a distance \( d_1 = 1.15 \, \text{m} \) across the tabletop.
- The table is marked at a height \( h = 1.00 \, \text{m} \) above the floor.
- The block's trajectory is shown as a dashed line as it moves off the table.
- The horizontal distance from the table's edge to the point where the block lands on the floor is \( d_2 = 1.03 \, \text{m} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a1cf1eb-b44a-47f5-891f-157926c93333%2Fae66eb34-0450-49a9-8602-faed5c5b348a%2Fdh4p1n9_processed.png&w=3840&q=75)
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