Wednesday, October 16, 2019

Experiment 11 Oscillation

Experiment 11 Oscillation
Topic: Simple Harmonic Motion
Title: Oscillation 
Objective: To determine the mass of a spring
Theory:
A body of mass m is suspended on a coil spring with spring constant k is displaced from its equilibrium position and released.
If the amplitude of oscillation of the body is relatively small, its motion is simple harmonic and its period of oscillation T is given by
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mn>2</mn><mi>&#x3C0;</mi><msqrt><mfrac><mi>m</mi><mi>k</mi></mfrac><mo>+</mo><mfrac><msub><mi>M</mi><mi>k</mi></msub><mrow><mn>3</mn><mi>k</mi></mrow></mfrac></msqrt></math>
where m is the mass of the object and MS the mass of the spring.
Apparatus:
  1. A retort stand with clamp 
  2. Eight 20 g slotted masses
  3. A 50 g mass hanger
  4. A stopwatch
  5. A soft spring
  6. A weight to stabilizing the retort stand

Procedure:
(a)    Set-up the apparatus as shown in Figure below.
(b)    Attach the 50 g hook to the spring.
(c)    Displace the mass about 2-3 cm and release it.
(d)    Measure and record the time for 20 oscillations.
(e)    Repeat step (d) with different masses.
( f)    Plot a graph of T2 against m.
 (g)    From the graph, determine the mass of the spring, Ms.

Experiment 11_Pic1
Figure Exp11- 1. The spring that attach to retort stand have to be fix not moving and always vertical to the ground during 20 oscillation.



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