The following 4 questions relate to the position vs. time graphbelow for an obje

Question

The following 4 questions relate to the position vs. time graphbelow for an object undergoing simple harmonic motion. What is theamplitude of the motion (in cm)?


Answer

2.

   Whatis the period (in s)?
Answer

3.

   Whatis the equilibrium position (in cm)?
Answer

4.

) Whatis the maximum velocity of the object (in cm/s)?
Answer

5.

   A 50 gmass hanger hangs moitionless from a partially stretched spring.When a 70 gram mass is added to the hanger, the spring stretchincreases by 9 cm. What is the spring constant of the spring (inN/m)? (Assume g = 9.79 m/s2.)
Answer

6.

   A 2 kgmass hangs motionless from a partially stretched spring having aspring constant of 248 N/m. What is the magnitude of the force (inN) that would be required to pull the mass down by an additional 5cm?
Answer

Explanation / Answer

a) Amplitude (A) = 10cm b) Time period is T = 4s c) Equilibrium point is at 15 cm d) Max velocity is vmax = A                                      = A(2 / T)                                      = (2A) / T Here A = 10cm   T = 4s e) spring constant is   k =mg / x f) the magnitude of the force (in N) that would berequired to pull the mass down by an additional 5 cm is               F = kx

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