Some one me with part B. (Simple Harmonic Motion)

In summary, the conversation discusses a simple harmonic motion experiment involving a block of mass 10 kg hanging from a spring and a small penny sitting on top of the block. The questions asked involve finding the angular frequency, amplitude, period, linear frequency, and maximum acceleration of the system without considering the penny, and then considering the penny as part of the system. The force of gravity and the spring force play a role in the motion of the block and penny.
  • #1
bochai
4
0
Simple Harmonic Motion

A block of mass M = 10 kg is hanging, at rest, from a spring with a force constant of 250 N/m. There is also a very small penny sitting on top of the block. (Note: The penny is not stuck to the block and can leave the surface of the block.) The block is now pulled down a distance of 0.8 m held there and then released. Note: Assume that the mass of penny << mass of bock

Part A
Answer the following five questions by analytical means (i.e. math methods). Assume that Simple Harmonic Motion holds.
1) angular frequency of the system
2) amplitude of vibration
3) period of vibration
4) linear frequency of vibration
5) maximum acceleration the block experiences
Note: Do not consider the penny for the above calculations.

Part B
Now considering the penny as part of the system but assuming the mass of the penny is so small compared to the block that the Simple Harmonic Motion of the block is not affected by the penny.
Answer the following four questions by analytical means (i.e. math methods).
6) Why will the penny leave the surface of the block? Explain.
7) At what time will the penny leave the surface of the block after the block is released?
8) At what position, x, will the block be when the penny leaves the surface?
9) What will be the speed of the block when the penny leaves the surface?

(Part A is easy, but I'm not sure how to approach part B)
 
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  • #2
I'm moving this to the HW section.

BTW, you should show an effort for your solution there before people will help you (read the rules).
 
  • #3
In part B, the penny is resting on the block.

What forces are acting on the penny, and what forces are acting on the block?

Also realize, the force of gravity is constant, but the spring force depends on the displacement from equilibrium.
 

1. What is simple harmonic motion?

Simple harmonic motion is a type of periodic motion in which an object moves back and forth along a straight line, with a constant amplitude and a constant period. It occurs when the force on the object is directly proportional to its displacement from its equilibrium position.

2. How is simple harmonic motion related to physics?

Simple harmonic motion is a fundamental concept in physics, as it is often used to model the behavior of various systems such as pendulums, springs, and molecular vibrations. Understanding simple harmonic motion is crucial in many areas of physics, including mechanics, thermodynamics, and waves.

3. What is the equation for simple harmonic motion?

The equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement of the object, A is the amplitude, ω is the angular frequency, and φ is the phase angle. This equation describes the sinusoidal motion of the object over time.

4. How is simple harmonic motion different from other types of motion?

Simple harmonic motion is different from other types of motion because it is a type of periodic motion in which the restoring force is directly proportional to the displacement. In other types of motion, such as linear or circular motion, the restoring force may not be directly proportional to the displacement.

5. What are some real-life examples of simple harmonic motion?

Some real-life examples of simple harmonic motion include the swinging motion of a pendulum, the up-and-down motion of a spring, and the back-and-forth motion of a vibrating guitar string. Simple harmonic motion can also be observed in the motion of a mass attached to a spring, the motion of a child on a swing, and the motion of a tuning fork.

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