Is this the correct answer? 4) Read the section of the lab entitled \'Background

Question

Is this the correct answer?

4) Read the section of the lab entitled 'Background Information on the pendulum “math trick", then answer the following questions. This will be needed for the lab procedure. Note: The length of the pendulunw L is the distance from the phor point to the center ofthe bail Farthest from the range finder Graph of the Motion sensor data distance vs. time Ball is farthest from Ball is closest Closest to the Ball is at the the Motion Motion Sensor finder the Motionmiddle of Sensor Sensor. oscillation a.) What does the amplitude of the oscillations represent in terms of pendulum motion dimensions (x, y, h,L or )? Position of the ball. b.) Find an equation for L as a function of y and h? L=yth c.) Find an equation for y as a function of x and L? y=(1,2-x2)12 d.) You should now have enough information to solve for h. The equation for h should contain the length of the pendulum (L) and the value x. h=L-(L2-x2)1.2 e.) What is x? Look at the graph of position vs. time X is the wavelength

Explanation / Answer

a) Amplitude of oscillations is theta.

b) L= y+h

c) y= (L^2-x^2)^1/2

d) h= L- (L^2-x^2)^1/2

amplitude in pendulum can be represented both by theta(max. diaplacement of pendulum in angle) and x(max. displacement from mean position in distance),

e) x is the amplitude

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