physics Classical Mechanics

posted by .

A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the center of the bob. A spring with spring constant k= 12 N/m is attached to the bob (center). The spring is relaxed when the bob is at its lowest point (θ=0). In this problem, we can use the small-angle approximation sinθ≃θ and cosθ≃1. Note that the direction of the spring force on the pendulum is horizontal to a very good approximation for small angles θ. (See figure)

Take g= 10 m/s2

(a) Calculate the magnitude of the net torque on the pendulum with respect to the point P when θ=5∘. (magnitude; in Nm)

|τP|=

unanswered
(b) What is the magnitude of the angular acceleration α=θ¨ of the pendulum when θ=5∘? (magnitude; in radians/s2)

|α|=

unanswered
(c) What is the period of oscillation T of the pendulum? (in seconds)

T=

  • physics Classical Mechanics -

    8:01 final question. The easiest one.

  • physics Classical Mechanics -

    damon can u please tell me about the T that is the last part of this question

  • physics Classical Mechanics -

    omega= sqrt((kl^2+mgl)/I)

  • physics Classical Mechanics -

    please tell me the exact expression for this question.

  • physics Classical Mechanics -

    |ôP|= 1.83

    |á|= 1.84

    T= 1.37

  • physics Classical Mechanics -

    Can you plz give out the formula??

  • physics Classical Mechanics -

    I = m L^2 + (2/3) m R^2
    -(k L^2 + mgL)T = .885 d^2T/dt^2
    well calculate the coefficient of T on the left e.g.
    -(7 + 8) T = .885 d^2T/dt^2
    .885 d^2T/dt^2 = - 15 T
    Torque = -15T where T = 5 * pi/180
    alpha = d^2T/dt^2 = - 15 T /.885

  • physics Classical Mechanics -

    .885 w^2 = 15
    w = 2 pi f = 2 pi/period = 4.11 for example and you solve fot period

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 tension …
  2. physics

    A pendulum consists of a mass m = 0.12 kg hanging from a flexible string of length L. The string is very thin, very light, and does not stretch. It makes small oscillations, with a period of 0.663 s. What is the oscillation frequency …
  3. physics

    A simple pendulum consists of a ball of mass 5.39 kg hanging from a uniform string of mass 0.0789 g and length L. The period of oscilla- tion for the pendulum is 2.51 s. Determine the speed of a transverse wave in the string when the …
  4. 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 a …
  5. Physics Classical Mechanics Help ASAP

    A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …
  6. Classical mechanics

    A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …
  7. physics help

    A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …
  8. physics help

    A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …
  9. PHYSICS(HELP)

    A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …
  10. physics (Urgent)!!!!!!!!!!!!!!!!!!!!!!

    A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the …

More Similar Questions