wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A thin rod of length L and mass M is held vertically with one end on the floor and s allowed to fall. Find the velocity of the other end when it hits the floor, assuming that the end on the floor not slip

A
3gL
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3gL
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
L3g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
83L
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3gL

On applying the conservation of mechanical energy displacement of centre of mass =L2 , so, Wdone =ΔkEmgL2=12Iω2 (I moment of inertia about end 0

Here, I=ML23 S0, MgL/2=12×mL23ω2ωL=3gL

Note that, velocity (linear) of end A=ωL=3gL . So, the correct option is (B).

2008656_1431755_ans_978f1158318b4727adefa6f8fc0188e9.JPG

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Energy in SHM
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon