Question

A cylinder of mass, M, radius, and moment of inertia I = 1/2Mρ2 rolls without slipping...

A cylinder of mass, M, radius, and moment of inertia I = 1/2Mρ2 rolls without
slipping at the bottom of a pipe of inside radius R.
a) What is the equation of constraint?
b) Find Lagrange’s equation of motion.
c) Find the frequency of small oscillations (use the approximation: sin(θ) ≈ θ).

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
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
Similar Questions
3) A solid cylinder with mass 4kg and radius r=0.5 m rolls without slipping from a...
3) A solid cylinder with mass 4kg and radius r=0.5 m rolls without slipping from a height of 10 meters on an inclined plane with length 20 meters. a) Find the friction force so that it rolls without slipping b) Calculate the minimum coefficient of rolling friction mu c) Calculate its speed as it arrives at the bottom of the inclined plane
A 1.6 m radius cylinder with a mass of 8.6 kg rolls without slipping down a...
A 1.6 m radius cylinder with a mass of 8.6 kg rolls without slipping down a hill which is 5.6 meters high. At the bottom of the hill, what percentage of its total kinetic energy is invested in rotational kinetic energy?
A uniform cylinder of mass M and radius R rolls without slipping down a slope of...
A uniform cylinder of mass M and radius R rolls without slipping down a slope of angle theeta to the horizontal. The cylinder is connected to a spring constant K while the other end of the spring is connected to a rigid support at P. The cylinder is released when the spring is unstrectched. The maximum displacement of cylinder is ?
A hollow cylinder (hoop) of mass M and radius R starts rolling without slipping (with negligible...
A hollow cylinder (hoop) of mass M and radius R starts rolling without slipping (with negligible initial speed) from the top of an inclined plane with angle theta. The cylinder is initially at a height h from the bottom of the inclined plane. The coefficient of friction is u. The moment of inertia of the hoop for the rolling motion described is I= mR^2. a) What is the magnitude of the net force and net torque acting on the hoop?...
A thin cylinder starts from rest and rolls without slipping on theloop-the loop with radius R....
A thin cylinder starts from rest and rolls without slipping on theloop-the loop with radius R. Find the minimum starting height of the marblefrom which it will remain on the track through the loop. Assume the cylinder radius is small compared to R.
A very thin circular hoop of mass m and radius r rolls without slipping down a...
A very thin circular hoop of mass m and radius r rolls without slipping down a ramp inclined at an angle θ with the horizontal, as shown in the figure. What is the acceleration a of the center of the hoop?
A cylinder of mass and radius R rolls without slipping down an incline plane starting from...
A cylinder of mass and radius R rolls without slipping down an incline plane starting from ??rest at a height d above the ground. The plane is angled 30 degrees from the horizontal. Ignoring air resistance, find the speed and the acceleration of the cylinder at the bottom of the plane. a.Use the methods of conservation of energy to solve this problem. b. Use the methods of torques to check your answer. c. Look ? at your answer to this...
A uniform disc of mass M=2.0 kg and radius R=0.45 m rolls without slipping down an...
A uniform disc of mass M=2.0 kg and radius R=0.45 m rolls without slipping down an inclined plane of length L=40 m and slope of 30°. The disk starts from rest at the top of the incline. Find the angular velocity at the bottom of the incline.
A solid sphere with a radius 0.25 m and mass 240 g rolls without slipping down...
A solid sphere with a radius 0.25 m and mass 240 g rolls without slipping down an incline, starting from rest from a height 1.0 m. a. What is the speed of the sphere when it reaches the bottom of the incline? b. From what height must a solid disk with the same mass and radius be released from rest to have the same velocity at the bottom? It also rolls without slipping.
A sphere of mass M, radius r, and rotational inertia I is released from rest at...
A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h as shown above. (diagram not shown) If the plane has friction so that the sphere rolls without slipping, what is the speed vcm of the center of mass at the bottom of the incline?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT