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

Uniform rod AB of mass 3 kg and length 2 m is hinged at end A in horizontal position as shown in the figure. The other end is connected to a block of mass 1 kg through a massless string. The pulley is smooth and massless. Find the angular acceleration of the rod about the hinge just after release. (Take anti-clockwise rotation positive)


A
g8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
g4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
g8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
g2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C g8

Given: l=2 m,m=1 kg,M=3 kg
F.B.D of block m:


mgT=ma ... (i)
F.B.D of rod:


Due to string constraint, acceleration of point B (aB) will be equal to a m/s2
We know,
aB=α×2 (for pure rotation)
α=aB2=a2
a=2α
Torque equation about point A
l×Tl2×Mg=Iα
2×(mgma)l2×Mg=Ml23×α
2(ga)1×3g=4α
2(g2α)3g=4α
α=g8
(- ve) sign indicates rod will have angular acceleration in clockwise direction.

flag
Suggest Corrections
thumbs-up
1
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon