(Show all the steps please) Rotational Dynamics: Four objects of equal mass start at the top of...

70.2K

Verified Solution

Question

Physics

(Show all the steps please)

Rotational Dynamics: Four objects of equal mass start at the topof an inclined plane. A solid cylinder, a thin walled cylinder, asolid sphere, and a thin walled sphere. All objects start at rest.Starting at rest,

A) Write down the work energy theorem including both kineticenergy terms and all potential energy terms.

B) If all four objects are released at the same moment, how longdoes each take to reach the bottom of the incline plane?

C) Find the ratio of translational (linear) kinetic energy torotational kinetic energy for each object.

D) Compare the results of the race obtained in part a to theresults obtained in part b.

E) If the ramp is 20 m long and inclined at an angle od 20degrees, what is the angular speed of the solid cylinder at thebottom of the ramp.

F) What torque is required to achieve this final angularspeed?

Answer & Explanation Solved by verified expert
4.4 Ratings (1069 Votes)
A All the object are starting at rest so none of them have kinetic energy but only potential energy which is given as mgh where m is the mass of the respective object g is gravity and h is the height of the ramp Now as they start rolling    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students