physics

Derive a formula for the maximum speed vmax of a simple pendulum bob in terms of g, the length ℓ, and the maximum angle of swing θmax.
Express your answer in terms of the variables g, l, and θmax.

  1. 👍
  2. 👎
  3. 👁
  1. θ=θ(max) •sin(ωt+α)
    dθ/dt =θ(max) •ω•sin(ωt+α)
    (dθ/dt)(max) = θ(max)•ω= θ(max)√(g/L)
    v(max) =(dθ/dt)(max) •L = L•θ(max)√(g/L)

    1. 👍
    2. 👎
  2. Elena's answer seems to be incorrect

    1. 👍
    2. 👎
  3. v max = sqrt( 2gL( 1−cos(θmax) ) )

    1. 👍
    2. 👎
  4. how to dirive a furmua to find the perimiter of following figures

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A pendulum bob has a mass of 1kg. The length of the pendulum is 2m. The bob is pulled to one side to an angle of 10degree from the vertical. What is the velocity of the pendulum bob as it swings through it's lowest point? What is

  2. physics

    As shown below, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length and negligible mass. What is the

  3. physics

    A 0.33- kg pendulum bob is attached to a string 1.2 m long and hangs vertically as shown in Figure 1. What is the change in the pendulum bob’s gravitational potential energy as it swings from the lowest point of the pendulum to

  4. Physics

    The length of a simple pendulum is 0.72 m, the pendulum bob has a mass of 305 grams, and it is released at an angle of 10° to the vertical. a) With what frequency does it vibrate? Assume SHM. (b) What is the pendulum bob's speed

  1. physics

    A pendulum bob has a mass of 1 kg. The length of the pendulum is 2 m. The bob is pulled to one side to an angle of 10 degrees from the vertical. What is the velocity of the pendulum bob as it swings through its lowest point? What

  2. Physics

    A simple pendulum of length 2.00m is made with a mass of 2.00kg. The mass has speed of 3.00 m/s when the pendulum is 30 degrees above its lowest position. -What is the maximum angle away from the lowest position the pendulum will

  3. physics

    ¬Calculate the period of oscillation of a simple pendulum of length 1.8 m, with a bob of mass 2.2 kg. What assumption is made in this calculation? (g = 9.8 m s - 2) If the bob of this pendulum is pulled aside a horizontal

  4. physics

    a simple pendulum consists of a bob of mass 1.8 kg attached to a string of length 2.3 m. the pendulum is held at an angle of 30 from the vertical by a light horizontal string attached to a wall, as shown above. calculate the

  1. Physics

    You pull a simple pendulum of length L to the side through an angle of 3.50 degrees and release it. How much time does it take the pendulum bob to reach its highest speed? How much time does it take if the pendulum is released at

  2. Calculus application of sin function

    a horizontal position of the pendulum of a grandfather clock can be modelled by h(t)=Acos(2(pi)t/T), where A is amplitude of the pendulum in meters, t is time in seconds, and T is the period of the pendulum, in seconds. If the

  3. Physics

    What causes the restoring force in a simple pendulum? A. friction between the thread and the support B. the force exerted on the pendulum bob while displacing it from the mean position C. the component of the weight of the bob

  4. Physics

    Suppose that a simple pendulum consists of a small 66.0 g bob at the end of a cord of negligible mass. Suppose that the angle between the cord and the vertical is given by θ = (0.0800 rad) cos[(4.30 rad/s)t + ϕ] (a) What is the

You can view more similar questions or ask a new question.