A simple pendulum is 9.00 m long. (a) What is the period of simple harmonicmotio

Question

A simple pendulum is 9.00 m long. (a) What is the period of simple harmonicmotion for this pendulum if it is located in an elevatoraccelerating upward at 9.00m/s2?
1 s

(b) What is its period if the elevator is accelerating downward at9.00 m/s2?
2 s

(c) What is the period of simple harmonic motion for the pendulumif it is placed in a truck that is accelerating horizontally at9.00 m/s2?
3 s (a) What is the period of simple harmonicmotion for this pendulum if it is located in an elevatoraccelerating upward at 9.00m/s2?
1 s

(b) What is its period if the elevator is accelerating downward at9.00 m/s2?
2 s

(c) What is the period of simple harmonic motion for the pendulumif it is placed in a truck that is accelerating horizontally at9.00 m/s2?
3 s

Explanation / Answer

(a) The time period T = 2(l/g+a)                                 = 2(9m /9.8+9) = 4.35 s (b) The time period T = 2(l/g- a)                                 = 2(9m /9.8 - 9) = 21 s (c) The time period T = 2(l/g)                                 = 2(9m /9.8) = 6s

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