Physics

A bob of mass m is suspended from a string of length L, forming a pendulum. The period of this pendulum is 1.97 s. If the pendulum bob is replaced with one of mass 1/2 m and the length of the pendulum is increased to 2.50 L, what is the period of oscillation?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. The period has nothing to do with the mass.

    It is proportional to the square root of the length

    1.97 * sqrt(2.5)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. T1 = 1.97 s.
    T2 = ?.
    2pi = 6.28

    T1 = 2pi*sqrt(L/g).
    T1^2 = 39.5*L/g,
    1.97^2 = 39.5L/9.8,
    L1 = 0.962 m.
    L2 = 2.50 * 0.962 = 2.41 m.

    T2 = 6.28*Sqrt(2.41/9.8) = 3.11s.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Tension is maintained in a string. The observed wave speed is 21 m/s when the suspended mass is 3.0 kg. a) What is the mass per unit length of the string? (in kg/m) b) What is the wave speed when the suspended mass is 1.6 kg? (in

  2. 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

  3. Physics

    A simple pendulum, 2.0 m in length, is released from rest when the support string is at an angle of 25 from the vertical. What is the speed of the suspended mass at the bottom of the swing?

  4. Physics

    A simple pendulum has a 2.5 kg mass attached to a string that is 0.65 m in length. If the pendulum is released at an angle of 35° with the horizontal, then the period of the pendulum is seconds.

  1. 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

  2. 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

  3. 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

  4. Physics

    A bob of mass = 0.250 is suspended from a fixed point with a massless string of length = 23.0 . You will investigate the motion in which the string traces a conical surface with half-angle = 25.0. What tangential speed must the

  1. 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

  2. physics - energy question

    A simple pendulum, 2.0 m in length, is released with a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, what is its speed at

  3. Physics Help please

    The free-fall acceleration on Mars is 3.7 m/s2. (a) What length pendulum has a period of 4 s on the earth? cm What length pendulum would have a 4 s period on Mars? cm (b) A mass is suspended from a spring with force constant 10

  4. 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

View more similar questions or ask a new question.