Questions  

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB=D. The height h is equal to

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
ctaimg
a
32D
b
D
c
75D
d
54D
NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is D

As body is at rest initially, i.e., speed=0At point A, speed=v As track is frictionless, so total mechanical energy will remain constant.∴  (T.M.E)i=(T.M.E)f0+mgh=12mv2+0 or   h=v22g For completing the vertical circle, v≥5gR∴  h=5gR2g=52R=54D


ctaimg

Similar Questions

A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 300. The centre of mass of cylinder has speed of 4 ms-1. The distance travelled by the cylinder on the inclined surface will be
(Take, g = 10 ms-2 

Want to Improve your productivity
talk to our academic experts now !!

counselling
india
+91

whats app icon