Physics

posted by .

Hello everyone,

I have made measurements of the periods of a pendulum attached to a stationary point at a certain height h. When plotting the periods as a function of the square root of the length minus the height it gives us a straight line. I now need to prove that this line minus 1/2*Huygens' law (2π*sqrt(l/g)) equals π*sqrt((l-h)/(g)).

My problem is that I can't find out how I should prove this mathematically. Does anyone here know a solution or do you think that I just have to test it for the measurement data?

Thanks in advance to everyone who spends a second thinking about it!

  • Physics -

    I don't understand what you are trying to prove.
    Huygen's law does not belong in the middle of an equation.

  • Physics -

    I should indeed have formulated this a lot clearer. I have done an experiment in which I add a stationary point to the standard pendulum situation, which creates a period function dependent on both the length of the pendulum as on the height of the stationary point which limits the pendulum from achieving it's full potential period (the period it would have without the stationary point). Now this function minus 1/2*the potential period (thus Huygens' law) equals π*sqrt((l-h)/(g)). This is stated in the assignment, and I have to prove it.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which …
  2. PHYSICS

    A pendulum was set up and measurements were made to enable the mechanical energy to be calculated at the start position S and the lowest point of the pendulums swing L. The mass of the pendulum bob was determined on an electronic scale …
  3. math

    The formula T=2*pi*sqrt[L/g] gives the period of a pendulum of length l feet. The period P is the number of seconds it takes for the pendulum to swing back and forth once. Suppose we want a pendulum to complete three periods in 2 seconds. …
  4. math

    The formula T=2*pi*sqrt[L/32] gives the period of a pendulum of length l feet. The period P is the number of seconds it takes for the pendulum to swing back and forth once. Suppose we want a pendulum to complete three periods in 2 …
  5. 7th grade math Ms. Sue please

    2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block?
  6. math

    The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in meters, L, through the equation: T=2π√((L)/(9.8)) [it …
  7. Fianace

    A 10-year bond has a coupon rate of 7% anually and a principal payment of $1,000.00. Other similar bonds are paying 9% annually. To determine the value of this bond you must find the interest factors, IF. at: A. 9% for 10 periods B. …
  8. Finance

    A 10-year bond has a coupon rate of 7% annually and a principal payment of $1,000.0. Other similar bonds are paying 9% annually. To determine the value of the bond you must find the interest factors, IF. at: A. 9% for 10 periods B. …
  9. Personal finance

    A 10 year bond has a coupon rate of 7% annually and a principal payment of $1000.00. Other similar bonds are paying 9% annually. To determine the value of this bond you must find the interest factors, IF at: A) 9% for 10 periods b) …
  10. math

    Here's my question: Determine if each system has one, two, or no solutions. (Show your work - 3 marks each) a)y=2x^2-2x+1 and y=3x-5 b)y=x^2+3x-16 and y=-x^2-8x-18 Here's my work on the question: a) x=(-b plus/minus sign (square root …

More Similar Questions