ZuoTi.Pro
Question

A hollow ball of diameter D is suspended from a string of negligible mass whose length...

A hollow ball of diameter D is suspended from a string of negligible mass whose length is equal to the ball’s diameter. The string is attached to the surface of the ball.

Find an expression for the period of this physical pendulum in the small-amplitude approximation.

Express your answer in terms of D and gravitational acceleration g.

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
A hollow ball of diameter D is suspended from a string of negligible mass whose length...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A mass 26.9 (in grams) suspended from a string of length 65 (in cm) forms a...

    A mass 26.9 (in grams) suspended from a string of length 65 (in cm) forms a simple pendulum. If its amplitude is θ0 (in degrees), during what fraction of its period can the pendulum be found between + θ ° and - θ °? The initial amplitude is small enough that the motion is simple harmonic to a very good approximation. Express your answer in terms of the given variables.

  • A mass 20 (in grams) suspended from a string of length 94 (in cm) forms a...

    A mass 20 (in grams) suspended from a string of length 94 (in cm) forms a simple pendulum. If its amplitude is θ0 (in degrees), during what fraction of its period can the pendulum be found between + θ ° and - θ °? The initial amplitude is small enough that the motion is simple harmonic to a very good approximation. Express your answer in terms of the given variables. HINTS: Use θ(t) = θ0 sin(ω t) to find ωt,...

  • 1) A ball of mass Mis suspended from a string whose other end is attached to...

    1) A ball of mass Mis suspended from a string whose other end is attached to the ceiling. The ball travels in a horizontal circle of radius R at a constant period P. The length of the string is L. WWWWWWWWWWWWWW W M If M = 0.5 kg, P = 2.7 s, and L = 3.5 m, what is the tension in the string?

  • A small ball of mass ? is attached to the bottom end a light string of...

    A small ball of mass ? is attached to the bottom end a light string of length ?, while the top of the string is fixed to the ceiling. If the ball is moving in a horizontal circle of radius ?, derive an expression for the angular speed ? of the ball in terms of only ?, ?, ? and ?. Such a system is called a conical pendulum.

  • A simple pendulum consists of a ball of mass M hanging from a uniform string of...

    A simple pendulum consists of a ball of mass M hanging from a uniform string of mass m and length L, with m << M. (a) If the period of oscillations for the pendulum is T, derive an expression for the speed of a transverse wave in the string when the pendulum hangs at rest in terms of m, M, T and g (the acceleration due to gravity). Your expression should not include L. (b) If the string is made...

  • A pendulum consists of a string of length L and a mass m hung at one...

    A pendulum consists of a string of length L and a mass m hung at one end and the mass oscillates along a circular arc. Part a) Familiarize yourself with the derivation of omega = Squareroot g/L to hold. i) Explain succinctly how the angular frequency of oscillation omega = Squareroot g/L comes about from Newton's Law, where g is the gravitational acceleration. ii) One assumption required is the small angle approximation: sin theta = theta and cos theta =...

  • A pendulum consists of a 5.1 kg ball suspended by a 1.6 m length of string...

    A pendulum consists of a 5.1 kg ball suspended by a 1.6 m length of string with negligible mass and is initially at rest. A 4.7 g bullet travelling at 660 m/s is fired horizontally into the ball and is lodged there. The ball and bullet rise together to a maximum height of h. Find h

  • A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a...

    A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. The following figure(Figure 1) shows that the string traces out the surface of a cone, hence the name.Part A: Find an expression for the tension T in the string.Express your answer in terms of the variables L,m,r and appropriate constants.Part B: Find an expression for the ball's angular speed?.Express your answer...

  • Exercise 4: A small ball of mass m, is attached to the end of string of...

    Exercise 4: A small ball of mass m, is attached to the end of string of length L and negligible mass. The other end of string is attached to a pivot located on a ceiling. The system forms a simple pendulum. Analyze the torques on the ball about the pivot on the ceiling when the ball makes an angle with respect to the vertical. Sketch Coordinate system e-FBD of m Newton's and law analysis

  • A hollow steel ball weighing 24 pounds is suspended from a spring.

    A hollow steel ball weighing 24 pounds is suspended from a spring. This stretches the spring 4 inches. The ball is started in motion from a point 3 inches above theequilibrium position.Let u(t) be the displacement of the mass from equilibrium. Suppose that after t seconds the ball is u feet below its rest position. Find u (in feet) in terms of t.(Note that the positive direction is down.)Take as the gravitational acceleration 32 feet per second per second.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT