Question

A child sits on a merry-go-round at a distance of 3.0 m from its axis of...

A child sits on a merry-go-round at a distance of 3.0 m from its axis of rotation. The coefficient of static friction between the child and the surface of the merry-go-round is 0.6. Find the largest angular velocity (in rpm) the merry-go-round can have before the child starts to slide outward. Your solution must show a free-body diagram of the child.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A child sits on a merry-go-round at a distance of 3.0 m from its axis of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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 child sits ona merry-go-round at a distance of 3.0 m from its axis of rotation.Thecoefficient...

    A child sits ona merry-go-round at a distance of 3.0 m from its axis of rotation.Thecoefficient of static friction between the childand the surface of the merry-go-round is 0.6.Find the largestangular velocity(in rpm) the merry-go-round can have before the child starts to slide outward. Your solution must showa free-bodydiagram of the child

  • A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses...

    A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 19.0 rpm in a time of 47.0 s. What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? ?avg= What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the child pushes the...

  • A child sits on a merry-go-round that has a diameter of 6.00 m. The child uses...

    A child sits on a merry-go-round that has a diameter of 6.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 15.0 rpm in a time of 37.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s2)? avg0.042 rad/s2 What is the angular displacement Δθ of the merry-go-round, in units of radians (rad), during the time the child pushes...

  • A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses...

    A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 20.0 rpm in a time of 44.0 s. PART 1 What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? PART 2 What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the...

  • 5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child...

    5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child of 30.0 kg runs tangent to the merry-go-round at 2.0 m/s, in the opposite direction that it is turning, and jumps onto the outer edge. Calculate the merry-go-round's angular velocity, immediately after the child jumps on.

  • A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a...

    A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...

  • 15) A merry-go-round makes one complete turn every 12s. If a 45 kg child sits on...

    15) A merry-go-round makes one complete turn every 12s. If a 45 kg child sits on the horizontal floor of the merry-go-round 3 m from the center, a) Sketch the problem. Identify the forces on the child. Show the direction of the acceleration of the child. b) Draw a force vector diagram. c) What is the speed of the child? d) What �s the child?s acceleration? e) What is the horizontal force of friction that acts on the child (provide...

  • A brave child decides to grab on to an already spinning merry-go-round. The child is initially...

    A brave child decides to grab on to an already spinning merry-go-round. The child is initially at rest and has a mass of 26.5 kg. The child grabs and clings to a bar that is 1.45 m from the center of the merry-go-round, causing the angular velocity of the merry-go-round to abruptly drop from 55.0 rpm to 19.0 rpm. What is the moment of inertia of the merry-go-round with respect to its central axis?

  • A brave child decides to grab on to an already spinning merry-go-round. The child is initially...

    A brave child decides to grab on to an already spinning merry-go-round. The child is initially at rest and has a mass of 34.5 kg. The child grabs and clings to a bar that is 1.70 m from the center of the merry-go-round, causing the angular velocity of the merry-go-round to abruptly drop from 51.0 rpm to 17.0 rpm. What is the moment of inertia of the merry-go-round with respect to its central axis?

  • A merry-go-round is spinning at 3.00 revolutions per minute. A crate is placed on it at...

    A merry-go-round is spinning at 3.00 revolutions per minute. A crate is placed on it at a distance 2.00 m from the axis of rotation. If the coefficient of static friction between the crate and the surface of the merry-go-round is 0.30, will the crate stay on the merry-go-round, or will it slip and fall over the side?

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