Ask Question
26 December, 12:28

A small light cylinder and a large heavy cylinder are released at the same time and roll down a ramp without slipping. Which one reaches the bottom first?

A. Small cylinder

B. Large cylinder

C. Both reach the bottom at the same time.

+4
Answers (1)
  1. 26 December, 12:35
    0
    C. Both reach the bottom at the same time.

    Explanation:

    For a rolling object down an inclined plane, the acceleration is given below

    a = g sinθ / (1 + k² / r²)

    θ is angle of inclination, k is radius of gyration, r is radius of the cylinder

    For cylindrical object

    k² / r² = 1/2

    acceleration = g sinθ / (1 + 1/2)

    = 2 g sinθ / 3

    Since it does not depend upon either mass or radius, acceleration of both the cylinder will be equal. Hence they will reach the bottom simultaneously.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A small light cylinder and a large heavy cylinder are released at the same time and roll down a ramp without slipping. Which one reaches ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers