Simple harmonic motion question

In summary: I CORRECT IN THISIn summary, the conversation discusses a block of mass M hanging from a rubber cord with an unstretched length of L0 and mass of m. The spring constant for the cord is k. The tension in the string and the length of the cord in the stretched position are determined, as well as the speed of a transverse wave in the cord. The conversation also mentions that solving the problem with a spring is easier than with a rubber cord, but suggests substituting the words "rubber cord" for "spring" in the answer.
  • #1
123mock
1
0
hi i am having trouble grasping this question

A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L0, and its mass is m, much less than M. The "spring constant" for the cord is k. The block is released and stops momentarily at the lowest point.

(a) Determine the tension in the string when the block is at this lowest point. (Use the following variables as necessary: L_0 for L0, m, M, and g.)
(b) What is the length of the cord in this "stretched" position? (Use the following variables as necessary: L_0 for L0, k, m, M, and g.)
(c) If the block is held in this lowest position, find the speed of a transverse wave in the cord. (Use the following variables as necessary: L_0 for L0, k, m, M, and g.)


doing this question with the spring is much easier, but the rubber cord is confusing.
 
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  • #2
123mock said:
doing this question with the spring is much easier, but the rubber cord is confusing.
I am having trouble understanding why you find it much easier with spring. Just pretend it is a spring and solve it. Then substitute the words "rubber cord" for "spring" in your answer.

AM
 

1. What is simple harmonic motion?

Simple harmonic motion is a type of motion in which an object oscillates back and forth around a central equilibrium point. This type of motion is characterized by a restoring force that is proportional to the displacement from the equilibrium point and the motion follows a sinusoidal pattern.

2. What factors affect the frequency of a simple harmonic motion?

The frequency of a simple harmonic motion is affected by two factors: the stiffness of the system and the mass of the object. A stiffer system or a heavier object will result in a higher frequency, while a less stiff system or a lighter object will result in a lower frequency.

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

Simple harmonic motion is different from other types of motion because it is characterized by a restoring force that is proportional to the displacement from the equilibrium point. This results in a periodic motion that is repetitive and follows a specific pattern.

4. What is the period of a simple harmonic motion?

The period of a simple harmonic motion is the time it takes for one complete oscillation, or one full cycle. It is often denoted by the symbol T and is related to the frequency of the motion by the equation T = 1/f, where f is the frequency.

5. How is energy conserved in simple harmonic motion?

In simple harmonic motion, energy is conserved because the total mechanical energy (the sum of kinetic and potential energy) remains constant throughout the motion. As the object oscillates back and forth, the energy is constantly being transferred between kinetic and potential energy, but the total amount remains the same.

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