Need help in Phase of time in SHM

In summary, the homework question is about finding the phase of a particle in simple harmonic motion at a specific time. The equation for the motion is provided and the attempt at a solution involves finding the position at the given time and identifying the phase as the expression inside the cosine function. However, it could also be defined differently depending on the textbook.
  • #1
Chrisemo
7
0
Hi, I'm very confused about one question in my homework, that is due today.
I appreciate any help.Thank you very much.

1. Homework Statement
The motion of a particle is given by: x = (6.0m) cos(0.586t + 0.72)
Find the phase at time t=1.38s

2. Homework Equations
Simple harmonic motion

The Attempt at a Solution


I found the point 0.25262 m and the phase 2pi(1.38)/10.72
 
Physics news on Phys.org
  • #2
The "phase [angle]" is [usually] the expression inside the the cosine function: (0.586*t+0.72) radians.
So, your point is the position at t=1.38s. However, you didn't correctly identify the phase.

I say "usually" because some texts might have defined it using another function (like the sine function).
 
  • #3
thanks
 

Related to Need help in Phase of time in SHM

1. What is SHM?

SHM stands for Simple Harmonic Motion. It is a type of periodic motion where a particle or object moves back and forth in a straight line with a fixed period and amplitude.

2. What is the phase of time in SHM?

The phase of time in SHM refers to the position of the particle or object at a specific time during its motion. It is usually measured in radians or degrees and can range from 0 to 2π.

3. How is phase of time calculated in SHM?

The phase of time can be calculated by dividing the elapsed time by the period of the motion, and then multiplying it by 2π. This will give the phase in radians. Alternatively, if the period is measured in seconds and the frequency in hertz, the phase can be calculated by multiplying the frequency by the elapsed time.

4. What is the significance of phase of time in SHM?

The phase of time in SHM helps to determine the position, velocity, and acceleration of the particle or object at any given time during its motion. It also helps to analyze the relationship between different SHM systems and to predict future positions of the particle or object.

5. How can I get help with understanding phase of time in SHM?

If you need help understanding the concept of phase of time in SHM, you can consult with a physics tutor or refer to online resources such as textbooks, videos, and practice problems. It is important to have a solid understanding of SHM and its components in order to effectively analyze and solve problems related to phase of time.

Similar threads

How to know whether motion is simple harmonic motion or not?
    • Introductory Physics Homework Help
Replies
17
Views
1K
Equation of shm for different positions
    • Introductory Physics Homework Help
Replies
1
Views
772
Finding Parameters for Simple Harmonic Motion at t=1
    • Introductory Physics Homework Help
Replies
1
Views
1K
Solved: Harmonic Motion - A, T, v=0, Acceleration, & Phase
    • Introductory Physics Homework Help
Replies
4
Views
2K
Real life example of the composition of two SHMs with same angular frequency
    • Mechanics
Replies
21
Views
2K
Kinematics: simple harmonic motion
    • Introductory Physics Homework Help
Replies
10
Views
4K
Solve SHM: Max Acceleration | Physics Homework
    • Introductory Physics Homework Help
Replies
3
Views
1K
Mass and spring on an inclined plane
    • Introductory Physics Homework Help
Replies
4
Views
3K
Phase of Simple Harmonic Motion: Determining the Phase at a Specific Time
    • Introductory Physics Homework Help
Replies
7
Views
5K
Phase Difference with Initial Conditions for SHM
    • Introductory Physics Homework Help
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top