Simple harmonic motion Need help Im studying

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SUMMARY

The discussion focuses on calculating the spring constant (k) and the oscillation frequency of a mass-spring system on an incline, where the mass M is 275 g. The relevant equations used include a = -k/m(x) for acceleration and f = 1/2π (sqrt(k/m)) for frequency. The user initially calculated k incorrectly as -8.99 kg*m, while the correct approach involves determining the gravitational component along the incline and using it to find k. The oscillation frequency was calculated as 0.9099 Hz.

PREREQUISITES
  • Understanding of Hooke's Law
  • Basic knowledge of oscillatory motion
  • Familiarity with trigonometric functions for inclined planes
  • Ability to manipulate equations involving mass and spring systems
NEXT STEPS
  • Calculate the gravitational component along an incline using sinθ
  • Determine the correct spring constant (k) using the extension of the spring
  • Explore the relationship between mass, spring constant, and oscillation frequency
  • Review the principles of simple harmonic motion in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators looking for examples of mass-spring systems on inclines.

NikkiNik
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Homework Statement


A spring, of negligible mass and which obeys Hooke's Law, supports a mass M on an incline which has negligible friction. The figure below shows the system with mass M in its equilibrium position. The spring is attached to a fixed support at P. The spring in its relaxed state is also illustrated.

Mass M has a value of 275 g. Calculate k, the spring constant.

The mass oscillates when given a small displacement from its equilibrium position along the incline. Calculate the oscillation frequency.

http://i32.photobucket.com/albums/d2/NikkiNik88/plot.png

Homework Equations



a=-k/m(x)
f= 1/2pi (sqrt(k/m))


The Attempt at a Solution



I used the mass given and .3m as x. I used the acceleration due to gravity for a.
I got -8.99 kg*m?? Is that correct

And for part b:
I used the equation above to solve for f
I got 0.9099 Hz
 
Physics news on Phys.org
Find the component of the acceleration due to gravity along the inclined plane. From the graph you can find the sinθ. Then find the force which pulls the spring down. Find the extension of the spring and then k.
 

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