Download the app

Questions  

A long steel wire of length 'L' is suspended from the ceiling of a room. A sphere of mass 'm' and radius 'r' is attached to the lower end of the wire. The height of the ceiling is (L+e). When the sphere is made to oscillate as a pendulum, its lowest point just touches the floor. The velocity of the sphere at the lowest point will be (L >> r,l and r is the radius of the wire)

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
πr2eYmgL
b
πr2YmegL
 
c

πr2mYegL

d

None

Ready to Test Your Skills?

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

detailed solution

Correct option is A

During oscillation, when the string is vertical, pseudo force mV2/L acting on the sphere is vertically downward so tension in the string becomes maximum.
Tmax=mg+mV2L
Elongation in the string = Height of ceiling - Length of string = (L + e) - L = e
e=TmaxLAY=mg+mV2LLπr2Y
V=πr2eYmgL
 

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace



Practice More Questions

Easy Questions

Moderate Questions

Difficult Questions


Download the app

phone icon
whats app icon