A pendulum is connected to a rope 3 m long, which is connected to a ceiling 4 m high. The angle between its widest swing and vertical hanging position is π/3. If the pendulum swings out to its widest position in 2 seconds, model the horizontal displacement of the pendulum using a sinusoidal function, considering vertical to be x = 0.

asked by Mufasa

3 years ago

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1 answer

so the period is 2*4 = 8 seconds, making
y = 3sin(π/3) sin(π/4 x)

answered by oobleck

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Question

A pendulum is connected to a rope 3 m long, which is connected to a ceiling 4 m high. The angle between its widest swing and vertical hanging position is π/3. If the pendulum swings out to its widest position in 2 seconds, model the horizontal displacement of the pendulum using a sinusoidal function, considering vertical to be x = 0.

1 answer

so the period is 2*4 = 8 seconds, making
y = 3sin(π/3) sin(π/4 x)

oobleck · Answer

so the period is 2*4 = 8 seconds, making y = 3sin(π/3) sin(π/4 x)