AP EAMCET20225 Jul 2022Evening ShiftPhysicsMotion in Two DimensionsActual
A solid cylinder of mass m and radius R rolls down an inclined plane of height h without slipping. The speed of its centre of mass when it reaches the bottom is
Options
- A(2 gh )
- B4 gh 3
- C3 gh 4
- D4 ~g ~h
Correct answer
B. 4 gh 3
Step-by-step solution
aligned & K. E. = 1 2 I ^2+ 1 2 mv ^2 & K.E. = 1 2 ( 1 2 mr ^2 ) ^2+ 1 2 mv ^2 & = 1 4 mv ^2+ 1 2 mv ^2= 3 4 mv ^2 aligned Now, gain in K.E. = Loss in P.E. 3 4 mv ^2= mgh v = ( 4 3 ) gh