6. Look at the simple pendulum simulation on Trinket at http://bit.ly/PendSim. T

Question

6. Look at the simple pendulum simulation on Trinket at http://bit.ly/PendSim. This simula- tion allows you to start the pendulum at angles beyond ±90°. Use this simulation to extend tour period graphs to amplitudes beyond 90° distance L, Compare this to the inertia of the simple harmonic oscillator making straight-line oscillations, 7. The inertia of the pendulum is given by the moment of inertia of a point mass m rotating at =mr. which is m. The period of the simple harmonic oscillator is Im Use the effective spring constant you found in Question 2 and the inertia given in Eq. (4) to obtain a relationship for the period of a simple pendulum making small oscillations. Hovw does this compare to the small-angle period given in the textbook? Does this period depend on mass? Why or why not? 8. How does the pendulum period depend on gravitational acceleration? Calculate the period of a simple pendulum of mass 0.250 kg and length 0.500 m on the Moon, Mars, and Jupiter.

Explanation / Answer

Please post seperate questions seperately

8. Time period depends inversely to the sqrt of the gravitational acceleration.

T = 2Pi sqrt (l/g)

T = 2 Pi sqrt (.5/1.622 )

T = 3.48 sec

For mars , g = 3.711 m/s²

Hence

T = 2 Pi sqrt (.5/3.711)

T = 2.3 s

For jupiter , gravitaional accelration is 24.79 m/s^2

T = 2Pi sqrt (.5/24.79)

T = 0.89 sec

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