CBSE Class 12-science Answered
Rotational motion
Asked by | 13 Mar, 2010, 01:44: PM
Expert Answer
(c) Both will reach the wall simultaneously.
KE of a rolling body = KE translational + KE rotational
= (1/2)MVcm2 + (1/2)Iw2 =(1/2)[(MVcm2 + I(Vcm/R)2]
= (1/2)[(MVcm2 + I(Vcm/R)2] = (Vcm2 /2)(M + I/R2) = (MVcm2 /2)(1 + c)
... since I = cMR2 , for example, for ring I = MR2, hence c = 1.
Now since both have the same KE,
Vcm = (2KE/((1 + c)M))1/2
(Vcm)ring/(Vcm)cylinder = (1/((1+c)M)ring1/2/(1/((1+c)M)cylinder1/2
(Vcm)ring/(Vcm)cylinder = = ((1.5x0.4)/(0.3x2)1/2 = 1
Both are moving at the same speed, and will reach at the same time.
Regards,
Team,
TopperLearning.
Answered by | 13 Mar, 2010, 03:22: PM
Concept Videos
CBSE 12-science - Physics
Asked by artabandhusahu85 | 24 Apr, 2024, 12:07: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by niharvijayvargiya5 | 23 Apr, 2024, 06:40: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by kulhariabhijeet | 21 Apr, 2024, 02:39: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by mohapatraswetalina88 | 21 Apr, 2024, 12:18: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by aishaisha091098 | 19 Apr, 2024, 04:54: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by dasrituparna1999 | 13 Apr, 2024, 06:56: AM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by dasrituparna1999 | 12 Apr, 2024, 09:26: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by mishrigupta19319 | 08 Apr, 2024, 06:28: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by madhav9119887644 | 07 Apr, 2024, 08:10: PM
ANSWERED BY EXPERT